Some of those listed were not present at the meeting and their paper was read by a member of the Society. The Society's Minutes are not always clear on whether papers are read only by title or discussed. We have included many that will have only been read by title. Also the affiliations of the speaker may not always be correct. Since some who presented papers moved around frequently, it has been impossible to always verify the particular affiliation at the time of giving the lecture. 
Main MacTutor index  EMS Index 
Click on a year below to see the data from that year.  
1883
1884
1885
1886
1887
1888
1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904 1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920 1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936 1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019  
1883  
Edinburgh  Chrystal, G. (Edinburgh) Present Fields of Mathematical Research 
Edinburgh  Mackay, J.S. (The Academy, Edinburgh) The triangle and its six scribed circles 
Edinburgh  Munn, D. (High School, Edinburgh) The NinePoint Circle 
Knott, C.G. (Edinburgh) An Account of Newton's 'Optics'  
Edinburgh  Muir, T. (Glasgow High School) New proof of Professor Tait's problem of Arrangement 
Muir, T. (Glasgow High School) Short notes of interest to Teachers  
Fraser, A.Y. (George Watson's College, Edinburgh) The fundamental notions of the Differential Calculus  
Knott, C.G. (Edinburgh) Plücker's first equation connecting the singularities of curves  
Edinburgh  Knott, C.G. (Edinburgh) Some notes on Quaternions 
Munn, D. (High School, Edinburgh) Some theorems on radical axes  
188384  Back to the top 
Edinburgh  Tait, P.G. (Edinburgh) Listing's 'Topologie' 
Edinburgh  Mackay, J.S. (The Academy, Edinburgh) The circles associated with the triangle viewed from their centres of similitude 
Knott, C.G. (Edinburgh) The Rev G McArthur's construction for Euclid II. 9, 10  
Edinburgh  Chrystal, G. (Edinburgh) Mathematical models, chiefly of surfaces of the second degree 
Edinburgh  Muir, T. (Glasgow High School) Note on a theorem connected with the area of a 2nsided polygon 
Browning, H.H. (14 Newton Place, Glasgow) Illustrations of harmonic section  
Edinburgh  Macdonald, W.J. (Daniel Stewart's College, Edinburgh) Pascal's 'Essais pour les coniques' 
Allardice, R.E. (Edinburgh) Spherical geometry  
Muir, T. (Glasgow High School) Note on the condensation of a special continuant  
Edinburgh  Macfarlane, A. (Edinburgh) On voting 
Edinburgh  Brown, A.C. (Edinburgh) The hypothesis of Le Bel and Van't Hoff 
Muir, T. (Glasgow High School) A preliminary account of an overlooked treatise on determinants, published in 1825  
Edinburgh  Peddie, W. (Edinburgh) On the representation of the physical properties of substances by means of surfaces 
Traill, D. (The Academy, Edinburgh) The theorems as far as proposition 32 of the first book of Euclid's Elements, proved from first principles  
Traill, D. (The Academy, Edinburgh) Geometry from common sense  
Edinburgh  Chrystal, G. (Edinburgh) Application of the multiplication of matrices to prove a theorem in spherical geometry 
Chrystal, G. (Edinburgh) On the discrimination of conics enveloped by the rays joining the corresponding points of two projective ranges  
Chrystal, G. (Edinburgh) On a problem in partition of numbers  
188485  Back to the top

Edinburgh  Mackay, J.S. (The Academy, Edinburgh) The shoemaker's knife 
Edinburgh  Alexander, P. Failing cases of Fourier's doubleintegral theorem (read by Thomas Muir) 
Muir, T. (Glasgow High School) Note on a function of two integral arguments  
Fraser, A.Y. (George Watson's College, Edinburgh) On the number of conditions determining geometrical figures  
Edinburgh  Chrystal, G. (Edinburgh) On the problem to construct the minimum circle enclosing n given points in a plane 
Muir, T. (Glasgow High School) Note on the equation connecting the mutual distances of four points in a plane  
Mackay, J.S. (The Academy, Edinburgh) Geometrical notes  
Edinburgh  Tait, P.G. (Edinburgh) Note on a plane strain 
Alexander, P. Boole's and other proofs of Fourier's doubleintegral theorem (read by Thomas Muir)  
Edinburgh  Gibson, G.A. (Glasgow) Gilbert's method of treating tangents to confocal conicoids 
Edinburgh  Sprague, T.B. (Faculty of Actuaries) Note on the evaluation of functions of the form 0^{0} 
Alison, J. (Edinburgh Academy) The socalled Simsonline  
Edinburgh  Chrystal, G. (Edinburgh) On certain formulae for repeated differentiation 
Chrystal, G. (Edinburgh) On a method for obtaining the differential equation to an algebraical curve  
Muir, T. (Glasgow High School) Note on the integration of x^{m}(a + b x^{n})^{p}dx  
Muir, T. (Glasgow High School) Historical note on the socalled Simson line  
Mackay, J.S. (The Academy, Edinburgh) Mnemonics for π, 1/π, e  
Edinburgh  Tait, P.G. (Edinburgh) On the Detection of amphicheiral knots, with special reference to the mathematical processes involved 
Edinburgh  Chree, C. (King's College, Cambridge) On the form in polar coordinates of certain expressions occurring in elastic solids and in hydrodynamics 
Dallas, R.J. (Teacher, Aberdeen) Notes on the method of orthogonal projection  
Allardice, R.E. (Edinburgh) On a number of concurrent spheres  
Allardice, R.E. (Edinburgh) Proposition suggested by and a generalisation of the Simson Line  
188586  Back to the top

Edinburgh  Mackay, J.S. (The Academy, Edinburgh) The ancient methods for the duplication of the cube 
Harvey, W. (Edinburgh undergraduate) Notes on Euclid I. 47: the theorem of Pythagoras  
Edinburgh  Tait, P.G. (Edinburgh) On certain integrals 
Tait, P.G. (Edinburgh) On integrals occurring in the kinetic theory of gases  
Peddie, W. (Edinburgh) To transform a rectangle into a square  
Peddie, W. (Edinburgh) The theory of contours and its applications in physical science  
Edinburgh  Allardice, R.E. (Edinburgh) Solution of a problem proposed by Dr Muir on algebraical symmetry 
Fraser, A.Y. (George Watson's College, Edinburgh) Two mechanical integrators or planimeters  
Fraser, A.Y. (George Watson's College, Edinburgh) The quadrature of curves especially by means of planimeters  
Edinburgh  Harvey, W. (Edinburgh undergraduate) Kinematical theorems 
Miller, T.H. (Borough Road Training College) A proof of Lagrange's theorem  
Edinburgh  Rainy, H. (Edinburgh undergraduate) Bifilar suspension treated by the method of contour lines 
Mackay, J.S. (The Academy, Edinburgh) Abstract of one of Euler's papers  
Mackay, J.S. (The Academy, Edinburgh) Note on a paper or Euler's entitled 'Solutio facilis problematum quorumdam geometricorum difficillimorum'  
Edinburgh  Mackay, J.S. (The Academy, Edinburgh) On the divisibility of certain numbers 
Mackay, J.S. (The Academy, Edinburgh) An arithmetical note  
Alison, J. (Edinburgh Academy) Statical proofs of some geometrical theorems  
Edinburgh  Childers, H.C.E. (politician, Edinburgh South MP) Note on Euclid II 11, To divide a straight line in medial section 
Peddie, W. (Edinburgh) The theory of contours and its applications in physical science: Second part  
Chree, C. (King's College, Cambridge) Vortex rings in a compressible fluid  
Chree, C. (King's College, Cambridge) On the vibrations of a spherical or cylindrical body surrounded by or containing fluid  
Edinburgh  Robertson, A. (St Andrew Square, Edinburgh) A problem in combinations 
Alison, J. (Edinburgh Academy) Trigonometrical mnemonic  
Gibson, G.A. (Glasgow) Notes on integration by parts and by successive reduction  
188687  Back to the top

Edinburgh  Mackay, J.S. (The Academy, Edinburgh) Solutions of Euclid's Problems, with a rule and one fixed aperture of the compasses, by the Italian geometers of the sixteenth century 
Tucker, R. (Brighton College) On the sinetripleangle circle  
Renton, W. On the equivocal sign  
Edinburgh  Aubert, P. (Collège Stanislas, Paris) Composition de Mathématiques élémentaires proposée au concours d'Agrégation de 1886 
Aubert, P. (Collège Stanislas, Paris) Solution d'une question de géométrie  
Allardice, R.E. (Edinburgh) The equilateral and the equiangular polygon  
Edinburgh  Chrystal, G. (Edinburgh) On certain inverse roulette problems 
Edinburgh  Macdonald, W.J. Proof of a geometrical theorem 
Chree, C. (King's College, Cambridge) On vortices  
Mackenzie, J.L. A theorem in algebra  
Gibson, G.A. (Glasgow) On a definite integral  
Edinburgh  Mackay, J.S. (The Academy, Edinburgh) Historical notes on a geometrical theorem and its developments (18th century): incenter, circumcenter, triangle 
Allardice, R.E. (Edinburgh) Geometrical notes: polygons, quadrilateral, harmonic conjugates  
Edinburgh  Tait, P.G. (Edinburgh) On the value of 
D'Ocagne, M. (Corps de Ponts et Chaussées, Cherbourg) Sur les cordes communes à une conique et à un cercle de rayon nul: application à la théorie géométrique des foyers dans les coniques  
Dallas, R.J. Note on the kinematics of a quadrilateral  
Dallas, R.J. A problem in linkages  
Edinburgh  Fraser, A.Y. (George Watson's College, Edinburgh) An experiment in the teaching of Geometry 
Edinburgh  Cayley, A. (Cambridge) On a differential equation and the construction of Milner's lamp 
Tait, P.G. (Edinburgh) Note on Milner's lamp  
Tait, P.G. (Edinburgh) An exercise on logarithmic tables  
Harvey, W. Geometrical proof of the tangency of the inscribed and ninepoint circles  
188788  Back to the top 
Edinburgh  Thom, G. (Dollar Institution) Mathematics in Secondary Schools and Universities 
Edinburgh  Allardice, R.E. (Edinburgh) A method of transformation in geometry 
Edinburgh  Allardice, R.E. (Edinburgh) On Stirling's approximation to n! when n is large 
Fraser, A.Y. (George Watson's College, Edinburgh) A device for the analysis of intervals and chords in music  
Edinburgh  Chrystal, G. (Edinburgh) On the inequality mx^{m1}(x1) < x^{m}1 < m(x1) and its consequences 
Peddie, W. (Edinburgh) A model of the thermodynamic surface which represents the state of water substance in terms of pressure, volume, and temperature  
Edinburgh  Aubert, P. (Collège Stanislas, Paris) Sur un systéme de cercles tangents à une circonférence et orthogonaux à une autre circonférence 
Aubert, P. (Collège Stanislas, Paris) On the circle which is tangential to one circle and orthogonal to another  
Wilson, J. (Edinburgh) The ninepoint circle  
Edinburgh  Gibson, G.A. (Glasgow) Extension of a theorem of Abel's in summation to integration 
Allardice, R.E. (Edinburgh) On the inscription of a triangle of given shape in a given triangle  
Mackay, J.S. (The Academy, Edinburgh) Pappus on the progressions  
Mackay, J.S. (The Academy, Edinburgh) Treatment of the progressions by the ancients as it had been preserved by Pappus  
Edinburgh  Chree, C. (King's College, Cambridge) Vortex rings in a compressible fluid 
Mackay, J.S. (The Academy, Edinburgh) Similitude and inversion  
Edinburgh  Allardice, R.E. (Edinburgh) A construction for the Brocard points 
188889  Back to the top

Edinburgh  Tait, P.G. (Edinburgh) On the relations between systems of curves which, together, cut their plane into squares 
Steggall, J.E.A. (University College, Dundee) The value of cos 2π/17 expressed in quadratic radicals  
Gibson, G.A. (Glasgow) A short notice of the additions to the mathematical theory of heat since the transmission of Fourier's memoir of 1811 to the French Academy  
Edinburgh  Munn, D. (High School, Edinburgh) On the general equation of the second degree representing a pair of straight lines 
Fraser, N. (United Presbyterian Divinity Hall, Edinburgh) Kötter's synthetic geometry of algebraic curves  
Edinburgh  Allardice, R.E. (Edinburgh) Note on a formula in Quaternions 
Butters, J.W. (George Heriot's School, Edinburgh) On the solution of the equation x^{p}  1 = 0, p being a prime number  
Edinburgh  Niven, C. (Aberdeen) On a proposition in statics 
Fraser, N. (United Presbyterian Divinity Hall, Edinburgh) Kötter's synthetic geometry of algebraic curves: Second part of four  
Steggall, J.E.A. (University College, Dundee) Amsler's planimeter  
Edinburgh  Millar, W.J. On the most economical speed to drive a steamer in relation to the cargo carried and coals consumed 
Fraser, N. (United Presbyterian Divinity Hall, Edinburgh) Kötter's synthetic geometry of algebraic curves: Third part of four  
Edinburgh  Chree, C. (Kew Observatory) On vortex motion in a rotating fluid 
Allardice, R.E. (Edinburgh) On the expression of a symmetric function in terms of the elementary symmetric functions  
Fraser, N. (United Presbyterian Divinity Hall, Edinburgh) Kötter's synthetic geometry of algebraic curves: Fourth part of four  
Edinburgh  Mackay, J.S. (The Academy, Edinburgh) Solutions of two geometrical problems 
Edinburgh  Aubert, P. (Collège Stanislas, Paris) Sur une propriété projective des sections coniques 
Steggall, J.E.A. (University College, Dundee) Note on the regular solids  
Steggall, J.E.A. (University College, Dundee) A certain cubic connected with the triangle  
188990  Back to the top

Edinburgh  Gibson, G.A. (Glasgow) Green's and allied theorems: a historical sketch 
Edinburgh  Steggall, J.E.A. (University College, Dundee) A special case of the threebar motion 
Allardice, R.E. (Edinburgh) On some theorems in the theory of numbers  
Pinkerton, R.H (Glasgow) Note on normals to conics  
Edinburgh  Tait, P.G. (Edinburgh) Note on a curious operational theorem 
Allardice, R.E. (Edinburgh) On a property of odd and even polygons  
Allardice, R.E. (Edinburgh) On some properties of the quadrilateral  
Edinburgh  Thomson, W. (Glasgow) On the moduluses of elasticity of an elastic solid according to Boscovich's theory 
Edinburgh  Sprague, T.B. (Faculty of Actuaries) On the different possible nonlinear arrangements of eight men on a chessboard 
Chree, C. (Kew Observatory) On the equations of vortex motion, with special reference to the use of polar coordinates  
Allardice, R.E. (Edinburgh) On a problem in permutations  
Edinburgh  Elliot, A.C. (Glasgow) On a hydromechanical theorem 
Elliot, A.C. (Glasgow) On Rankine's formula for earth pressure  
Edinburgh  Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) On a certain expression for a spherical harmonic, with some extensions 
Morrison, J.A. (HeriotWatt College, Edinburgh) A method of teaching Electrostatics in school  
Edinburgh  Cayley, A. (Cambridge) Note on the orthomorphic transformation of a circle into itself 
Allardice, R.E. (Edinburgh) Note on Menelaus's theorem  
Mackay, J.S. (The Academy, Edinburgh) Historical notes on a geometrical problem and theorem: triangle, quadrilateral  
189091  Back to the top

Edinburgh  Mackay, J.S. (The Academy, Edinburgh) Some new properties of the triangle 
Peddie, W. (Edinburgh) Proofs of some optical theorems  
Edinburgh  Pressland, A.J. (Edinburgh Academy) The triangle and its escribed parabolas 
Allardice, R.E. (Edinburgh) Some geometrical theorems  
Pinkerton, R.H (Glasgow) On the condition that the straight line lx + my + nz = 0 should be a normal to the conic (a, b, c, f, g, h)(x, y, z)^{2} = 0 the coordinates being trilinear  
Edinburgh  McCowan, J. (University College, Dundee) On the heating of conductors by electric currents, and the electric distribution in conductors so heated 
Dickson, J.D.H. (Peterhouse College, Cambridge) The solution of the equation √{(x  a) (x  b)} + √{(x  c) (x  d) } = e  
Edinburgh  Miller, T.H. (Borough Road Training College) A problem in the theory of numbers 
Aubert, P. (Collège Stanislas, Paris) Sur un lieu géomérique  
Aubert, P. (Collège Stanislas, Paris) On a geometrical locus  
Pressland, A.J. (Edinburgh Academy) The triangle and its escribed parabolas  
Edinburgh  Peddie, W. (Edinburgh) On the use of dimensional equations in physics 
Pressland, A.J. (Edinburgh Academy) Some relations between the orthic and the median triangles  
Edinburgh  Allardice, R.E. (Edinburgh) On some properties of a triangle of given shape inscribed in a given triangle 
Edinburgh  Gibson, G.A. (Glasgow) The pedal line of a triangle and theorems connected with it 
Anglin, A.H. (Queen's College, Cork) On some applications of the pedal line of a triangle  
Edinburgh  McCowan, J. (University College, Dundee) On a representation of elliptic integrals by curvilinear arcs 
Sprague, T.B. (Faculty of Actuaries) On the transformation and classification of permutations  
Miller, T.H. (Borough Road Training College) On the numerical values of the roots of the equation cos x = x  
Mackay, J.S. (The Academy, Edinburgh) The Wallace line and the Wallace point  
Pressland, A.J. (Edinburgh Academy) Note on an equation of motion  
189192  Back to the top

Edinburgh  Allardice, R.E. (Edinburgh) The barycentric calculus of Möbius 
Edinburgh  Steggall, J.E.A. (University College, Dundee) Note on an approximate fractional expression for the expansion of (1 + x)^{n} to any odd number of terms 
Pressland, A.J. (Edinburgh Academy) On the history and degree of certain geometrical approximations, (Part 1 of 2)  
Edinburgh  Steggall, J.E.A. (University College, Dundee) On the smallest number of entries necessary in a table of logarithms to seven decimal spaces 
Allardice, R.E. (Edinburgh) On the contact property of the elevenpoint conic  
Peddie, W. (Edinburgh) Deduction of the thermodynamical relations  
Edinburgh  Steggall, J.E.A. (University College, Dundee) On lines of magnetic force 
Edinburgh  Tweedie, C. (Edinburgh) On the relation between the stereographic projections of points of a plane related to one another by inversion 
Knott, C.G. (Edinburgh) Experimental introduction to the study of magnetism  
Edinburgh  Pressland, A.J. (Edinburgh Academy) On the history and degree of certain geometrical approximations, (Part 2 of 2) 
Allardice, R.E. (Edinburgh) On a surface of the third order  
Edinburgh  McCowan, J. (University College, Dundee) On the solution of nonlinear partial differential equations of the second order 
Anderson, R.E. On triads of circles connected with the triangle  
Edinburgh  Gibson, G.A. (Glasgow) Integrals of the form ∫ log {(x  a cos t)^{2}+ (y  b sin t)^{2}} cos(or sin) mt dt (integrated from 0 to 2π) and allied integrals 
Mackay, J.S. (The Academy, Edinburgh) Matthew Stewart's theorem  
Steggall, J.E.A. (University College, Dundee) On a property of a quadrilateral  
189293  Back to the top

Edinburgh  McCowan, J. (University College, Dundee) Note on the solution of partial differential equations by the method of reciprocation 
Edinburgh  Anglin, A.H. (Queen's College, Cork) On certain results involving areal and trilinear coordinates 
Mackay, J.S. (The Academy, Edinburgh) History of the ninepoint circle  
Tucker, R. (Brighton College) Geometrical notes: circle, triangle  
Tweedie, C. (Edinburgh) Note of Newton's theorem of symmetric functions  
Edinburgh  Knott, C.G. (Edinburgh) The Quaternion and its depreciators: Recent quaternion heresies 
Pressland, A.J. (Edinburgh Academy) On some loci connected with conics  
Edinburgh  Tait, P.G. (Edinburgh) Note on attraction 
Peddie, W. (Edinburgh) On the fundamental principles of Quaternions with other vector analyses  
Steggall, J.E.A. (University College, Dundee) On a geometrical problem  
Edinburgh  Mackay, J.S. (The Academy, Edinburgh) Early history of the symmedian point 
Mackay, J.S. (The Academy, Edinburgh) Adams's hexagons and circles  
Peddie, W. (Edinburgh) The elements of Quaternions, (Part 1 of 2)  
Edinburgh  Chree, C. (Kew Observatory) Action at a distance and the transmission of stress by isotropic elastic solid media 
Peddie, W. (Edinburgh) The elements of Quaternions, (Part 2 of 2)  
Pressland, A.J. (Edinburgh Academy) Note on a problem in analytical geometry: triangles, parallelograms, diagonals  
Edinburgh  Gibson, G.A. (Glasgow) On the history of the Fourier series 
Edinburgh  Knott, C.G. (Edinburgh) Japanese arithmetic 
189394  Back to the top

Edinburgh  Mackay, J.S. (The Academy, Edinburgh) The geometrography of Euclid's problems 
Tucker, R. (Brighton College) Two circular notes  
Peddie, W. (Edinburgh) An arithmetical problem  
Edinburgh  Steggall, J.E.A. (University College, Dundee) Note on the number of numbers less than a given number and prime to it: Note on an Elementary Proposition in the Theory of Numbers 
Steggall, J.E.A. (University College, Dundee) Geographical models  
McCowan, J. (University College, Dundee) On ridge lines and lines connected with them  
Edinburgh  Duthie, G. (The Academy, Edinburgh) On certain maxima and minima 
Butters, J.W. (George Heriot's School, Edinburgh) Notes on factoring  
Edinburgh  Sprague, T.B. (Faculty of Actuaries) On the geometrical interpretation of i^{i} 
Gibson, G.A. (Glasgow) A proof of the uniform convergence of the Fourier series, with notes on the differentiation of the series  
Tucker, R. (Brighton College) Geometrical notes  
Edinburgh  Aubert, P. (Collège Stanislas, Paris) Tangential Coordinates 
Tucker, R. (Brighton College) Two triplets of circumhyperbolas  
Edinburgh  Wallace, W. (Higher Grade School, Leeds) Note on a third mode of section of the straight line 
Tucker, R. (Brighton College) Three parabolas connected with a plane triangle  
Steggall, J.E.A. (University College, Dundee) The pedal triangle  
Mackay, J.S. (The Academy, Edinburgh) Formulae connected with the radii of the incircle and the excircles of a triangle  
Edinburgh  Brown, A.C. (Edinburgh) On the division of a parallelepiped into tetrahedra without making new corners 
Jackson, F.H. (School House, Cowbridge) On two differential equations  
Edinburgh  McCowan, J. (University College, Dundee) On the highest wave of permanent type 
Crawford, G.E. (Clifton, Bristol) On a problem on tangency: intersecting chords of a circle, inscribed circle  
Tweedie, C. (Edinburgh) On the solution of the Cubic and Quartic  
Muirhead, R.F. (Glasgow) E. Carpenter's proof of Taylor's theorem  
Tucker, R. (Brighton College) Notes on an orthocentric triangle  
189495  Back to the top 
Edinburgh  Lemoine, E. (Grenoble ) Étude sur le triangle, et sur certains points de Géométrographie 
McCowan, J. (University College, Dundee) On the solitary permanent wave: a continuation  
Davis, R.F. (Amateur mathematician) The ninepoint circle  
Davis, R.F. (Amateur mathematician) The Brocard points and the Brocard angle  
Edinburgh  Crawford, G.E. (Clifton, Bristol ) Geometrical problem 
Tucker, R. (Brighton College) Parabolic note: conormal points  
Peddie, W. (Edinburgh) Coloursensation and colourblindness with experiments  
Edinburgh  Mackay, J.S. (The Academy, Edinburgh) Properties connected with the angular bisectors of a triangle: Some new circles connected with the triangle 
Davis, R.F. (Amateur mathematician) Properties connected with the angular bisectors of a triangle  
Muirhead, R.F. (Glasgow) Note on triangle transformations  
Edinburgh  Jackson, F.H. (School House, Cowbridge) Theorems in the products of related quantities, (Part 1 of 2) 
Pinkerton, R.H. (University College, Cardiff) On the conditions that a given straight line may be a normal to the quadric surface (a, b, c, d, f, g, h, u, v, w)(x, y, z, l)^{2} = 0  
Muirhead, R.F. (Glasgow) Note on triangle transformations  
Jack, J. (Wilson College, Bombay) Examples of a method of developing logarithms and the trigonometrical functions without the Calculus, by means of their addition formulae and indeterminate coefficients  
Edinburgh  Tweedie, C. (Edinburgh) Some formulae in connection with the parabolic section of the canonical quadric 
Muirhead, R.F. (Glasgow) Some suggestions in mathematical terminology  
Macdonald, W.J. (Daniel Stewart's College, Edinburgh) A suggestion for the improvement of mathematical tables  
Duthie, G. (The Academy, Edinburgh) Proposal with regard to British tables of linear and square measure: On a necessary reform in arithmetic  
Edinburgh  McCowan, J. (University College, Dundee) On the operation of division 
Bioche, C. On Equilateral Gauche Cubics  
Anderson, R.E. Isoperimetric 2^{m} ngons applied to finding 1/π concisely by a new construction: On the ratio of the circumference of a circle to its diameter  
Crawford, L. (Mason College, Birmingham) On the use of the hyperbolic sine and cosine in connection with the hyperbola  
Edinburgh  Muirhead, R.F. (Glasgow) Proof of a theorem in conics 
Jackson, F.H. (School House, Cowbridge) Theorems in the products of related quantities, (Part 2 of 2)  
Mackay, J.S. (The Academy, Edinburgh) Isogonals of a triangle  
Edinburgh  Chrystal, G. (Edinburgh) A Summary of the theory of a coaxial system of lenses for small apertures, according to Möbius and Gauss, with applications to a photographic triplet 
Davis, R.F. (Amateur mathematician) On a Diophantine equation  
189596  Back to the top

Edinburgh  Morgan, A. (Church of Scotland Training College, Edinburgh) Address on celestial photography 
Edinburgh  Tait, P.G. (Edinburgh) Note on the circles of curvature of a plane curve 
Gibson, G.A. (Glasgow) A reduction formula for indefinite integrals  
Gibson, G.A. (Glasgow) Some properties of parabolic curves  
Jack, J. (Wilson College, Bombay) On the development of the elliptic functions by means of their addition theorems  
Edinburgh  Mackay, J.S. (The Academy, Edinburgh) Symmedians of a triangle and their concomitant circles 
Jackson, F.H. (School House, Cowbridge) A certain linear differential equation  
Muirhead, R.F. (Glasgow) On superposition by the aid of dissection  
Edinburgh  Steggall, J.E.A. (University College, Dundee) Note on a certain harmonical progression 
Steggall, J.E.A. (University College, Dundee) Note on continued fractions  
Martin, A. A simple method of finding any number of square numbers whose sum is a square  
Edinburgh  Höppner, J.D. Note on fourdimensional figures 
Edinburgh  Steggall, J.E.A. (University College, Dundee) Note on the formula for tan(A+B) 
Steggall, J.E.A. (University College, Dundee) On the pedal lines of polygons  
Muirhead, R.F. (Glasgow) On deducing the properties of the trigonometrical functions from their addition equations  
Muirhead, R.F. (Glasgow) On the number and nature of the solutions of the Apollonian contact problem  
Edinburgh  Gibson, G.A. (Glasgow) Review (with special reference to the Rise of the Infinitesimal Calculus and the NewtonLeibnitz controversy) of Cantor's 'Vorlesungen über Geschichte der Mathematik, Dritter Band' 
189697  Back to the top

Edinburgh  Anderson, R.E. Extension of the 'medial section' problem, and derivation of a hyperbolic graph 
Edinburgh  Anglin, A.H. (Queen's College, Cork) Theorems on normals of an ellipse 
Anglin, A.H. (Queen's College, Cork) On the geometrical investigation of the circular functions of 3θ and 5θ  
Aiyar, R.V. (Trichinopoly, India) A general theorem on the ninepoints circle  
Morgan, A. (Church of Scotland Training College, Edinburgh) On the geometrical representation of elliptic integrals of the first kind, (Part 1 of 2)  
Edinburgh  Morgan, A. (Church of Scotland Training College, Edinburgh) On the geometrical representation of elliptic integrals of the first kind, (Part 2 of 2) 
Carslaw, H.S. (Glasgow) The steady motion of a spherical vortex  
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Proof of the theorem that the middle points of the three diagonals of a complete quadrilateral are collinear  
Edinburgh  Clark, J.B. (George Heriot's School, Edinburgh) On a proof of the fundamental combination theorem 
Alison, J. (Edinburgh Academy) Maximum and minimum  
Butters, J.W. (George Heriot's School, Edinburgh) A geometrical proof of certain trigonometrical formulae (the addition theorem, etc.)  
Edinburgh  Jackson F.H. (School House, Cowbridge) Certain expansions of x^{n} in hypergeometric series 
Jack, J. (Wilson College, Bombay) The factorisation of 1  2 x^{n} cos α + x^{2n}  
Edinburgh  Muirhead, R.F. (Glasgow) A geometrical theorem with application to the proof of the collinearity of the midpoints of the diagonals of the complete quadrilateral 
Tucker, R. (Brighton College) Geometrical note  
Edinburgh  Muirhead, R.F. (Glasgow) On a method of studying displacement 
Mackay, J.S. (The Academy, Edinburgh) Isogonic centres of a triangle  
189798  Back to the top

Edinburgh  Gibson, G.A. (Glasgow) The treatment of arithmetic progressions by Archimedes 
Lémeray, M.E. Le quatrième algorithme naturel  
Edinburgh  Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) A general method of solving the equation of elasticity 
Jack, J. (Wilson College, Bombay) Trigonometrical notes  
Carslaw, H.S. (Glasgow) Note on the transformations of the equations of hydrodynamics  
Edinburgh  Crawford, L. (Mason College, Birmingham) The trisection of a given angle 
Crawford, G.E. (Clifton, Bristol) The centre of gravity of a circular arc  
Edinburgh  Guimaraes, R. (Portugese military) On a geometrical problem 
Gibson, G.A. (Glasgow and Daniel Stewart's College, Edinburgh) Discussion on Euclid's definition of Proportion: Proposal that in the teaching of elementary geometry, Euclid's definition of proportion be abandoned  
Edinburgh  Schoute, P.H. (Groningen) Extension of the notion of wavesurface to space of n dimensions 
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Note on the centre of gravity of a circular arc  
Edinburgh  Crawford, L. (Mason College, Birmingham) On the second solutions of Lamé's equation 
Mitchell, H. (Dundee) The singular solutions of a certain differential equation of the second order  
Edinburgh  Muirhead, R.F. (Glasgow) Permutations: alternative proofs of elementary formulae 
Muirhead, R.F. (Glasgow) On the transformationsequence  
Butters, J.W. (George Heriot's School, Edinburgh) Elementary notes: 1) On the factorisation of a function of n variables, and 2) On the use of the term 'produced'  
189899  Back to the top 
Edinburgh  Third, J.A. (Aberdeen) Systems of circles analogous to Tucker circles, (Part 1 of 3) 
Thomson, W.L. (George Heriot's School, Edinburgh) Geometrical theory of the hyperbolic functions  
Edinburgh  Third, J.A. (Aberdeen) Systems of circles analogous to Tucker circles, (Part 2 of 3) 
Gibson, G.A. (Glasgow) 'Vorlesungen über Geschichte der Mathematik', von Moritz Cantor. A review: with special reference to the Analyst controversy  
Edinburgh  Tweedie, C. (Edinburgh) Elementary notes: inequality theorem, exponential limit 
Muirhead, R.F. (Glasgow) Against Euler's proof of the binomial theorem for negative and fractional exponents  
Muirhead, R.F. (Glasgow) Note on continued fractions  
Muirhead, R.F. (Glasgow) A proof of the binomial theorem when the exponent is a positive integer  
Edinburgh  Sprague, T.B. (Faculty of Actuaries) On the eightqueens' problem 
Edinburgh  Tait, P.G. (Edinburgh) Note on attraction 
Edinburgh  Gibson, G.A. (Glasgow) A discussion on the treatment of proportion in elementary mathematics 
Edinburgh  Third, J.A. (Aberdeen) Systems of circles analogous to Tucker circles, (Part 3 of 3) 
Third, J.A. (Aberdeen) Systems of conics connected with the triangle  
Third, J.A. (Aberdeen) Systems of spheres connected with the tetrahedron  
189900  Back to the top

Edinburgh  Crawford, G.E. (Clifton, Bristol) Elementary proof that the arithmetic mean of any number of positive quantities is greater than the geometric mean 
Muirhead, R.F. (Glasgow) The dissection of any two triangles into mutually similar pairs of triangles  
Third, J.A. (Aberdeen) Two geometrical transformations  
Edinburgh  Crawford, L. (Mason College, Birmingham) On the evaluation of a certain determinant 
Russell, A.D. (High School, Falkirk) A special case of the dissection of any two triangles into mutually similar pairs of triangles  
Peddie, W. (Edinburgh) Elementary proof of the potential theorems regarding uniform spherical shells  
Edinburgh  Peddie, W. (Edinburgh) On the dissipation of energy in vibrating matter 
Edinburgh  Muirhead, R.F. (Glasgow) Remark on Dr Peddie's proof of the potential theorems regarding uniform spherical shells 
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) On Bessel functions and spherical harmonics  
Glasgow  Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) The determination of Green's function by means of cylindrical or spherical harmonics 
Edinburgh  Gibson, G.A. (Glasgow) Note on the fundamental inequality theorems connected with e^{x} and x^{m} 
Collignon, É. (Ponts et chaussées) Note sur un problème de Géométrie  
Edinburgh  Philip, W.E. (H.M.I.S., Aberdeen) A general proof of the addition theorems in Trigonometry 
Philip, W.E. (H.M.I.S., Aberdeen) A slight extension of Euler's theorem on homogeneous functions  
Gibson, G.A. (Glasgow) Note on proofs by projection in Trigonometry and Coordinate Geometry  
Laisant, C.A. (École Polytechnique) Problème de la section de raison  
190001  Back to the top

Edinburgh  Davis, R.F. (Amateur mathematician) Euclidean proof of Pascal's theorem 
Tweedie, C. (Edinburgh) Note on the expression for the area of a triangle in Cartesian coordinates, and a general proof of the addition theorem in Trigonometry connected therewith  
Jack, J. (Wilson College, Bombay) Alternative proof of a theorem in change of axes  
Edinburgh  Allardice, R.E. (Edinburgh) Note on four circles touching a common circle 
Third, J.A. (Aberdeen) Triangles triply in perspective  
Edinburgh  Allardice, R.E. (Edinburgh) On the ninepoint conic 
Mair, D.B. The nth root of a prime number cannot be the root of an equation of degree less than n with rational coefficients  
Edinburgh  Peddie, W. (Edinburgh) Note on the cooling of a sphere in a mass of wellstirred liquid 
Muirhead, R.F. (Glasgow) Inequalities relating to some algebraic means  
Edinburgh  Chrystal, G. (Edinburgh) Some elementary theorems regarding surds 
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Note on the application of complex integration to the equation of conduction of heat, with special reference to Dr Peddie's problem  
Glasgow  Crawford, L. (Mason College, Birmingham) The general equation of a geodesic on a surface of revolution applied to the sphere 
Allardice, R.E. (Edinburgh) On a cubic curve connected with the triangle  
Davis, R.F. (Amateur mathematician) A note on the focal relations of a bicircular quartic  
Carslaw, H.S. (Glasgow) On the summation of a certain series  
Edinburgh  Gibson, G.A. (Glasgow) An extension of Abel's theorem on the continuity of a power series 
Carslaw, H.S. (Glasgow) Oblique incidence of a train of plane waves on a semiinfinite plane  
190102  Back to the top

Edinburgh  Gibson, G.A. (Glasgow) The second integral theorem of mean value: a geometrical proof 
Burgess, A.G. (Ladies' College, Edinburgh) Theorems in connection with lines drawn through a pair of points parallel and antiparallel to the sides of a triangle  
Miller, J.N. On an instrument for trisecting any angle  
Edinburgh  Muirhead, R.F. (Glasgow) Note on the theory of the rolling of one rigid surface on another 
Crawford, L. (Mason College, Birmingham) A proof of Rodrigues' theorem and some expansions derived from it  
Blichfeldt, H.F. (Stanford, USA) Demonstrations of a pair of theorems in geometry  
Mackay, J.S. (The Academy, Edinburgh) History of a theorem in elementary geometry: the isosceles triangle  
Edinburgh  Carslaw, H.S. (Glasgow) Note on the use of Fourier's series in the problem of the transverse vibrations of strings 
Carslaw, H.S. (Glasgow) On a theorem in inequalities  
Crawford, L. (Mason College, Birmingham) Note on a property of circulating decimals with an even number of repeating figures equivalent to a vulgar fraction with a prime number as denominator  
Edinburgh  Carslaw, H.S. (Glasgow) A discussion on the teaching of elementary mathematics. 
Glasgow  Discussion on the improvements in the teaching of elementary mathematics. 
Edinburgh  Mackay, J.S. (The Academy, Edinburgh) Note on the theorems of Menelaus and Ceva 
Butters, J.W. (George Heriot's School, Edinburgh) Notes on decimal coinage and approximation  
Allardice, R.E. (Edinburgh) On some systems of conics connected with the triangle  
Muir, T. (Glasgow High School) The applicability of the law of extensible minors to determinants of special form  
Edinburgh  Muirhead, R.F. (Glasgow) Notes on the theorems of Menelaus and Ceva 
Muirhead, R.F. (Glasgow) Constructions connected with Euclid VI. 3 and VI. A, and the circle of Apollonius  
Tweedie, C. (Edinburgh) Anallagmatic curves, part 1: equations and inversions  
Peddie, W. (Edinburgh) A construction for the force, at any point, due to electric pointcharges or ideal magnets, with an extension to continuous distributions  
190203  Back to the top

Edinburgh  Carslaw, H.S. (Glasgow) The use of Green's functions in the mathematical theory of the conduction of heat 
Jackson, F.H. (School House, Cowbridge) On a generalization of Bessel's equation  
Edinburgh  Peddie, W. (Edinburgh) On the uniqueness of solution of the linear differential equation of the second order 
Davis, R.F. (Amateur mathematician) Note on two intrinsically related plane curves  
Mackay, J.S. (The Academy, Edinburgh) Mathematical correspondence: Robert Simson, Matthew Stewart, James Stirling  
Edinburgh  Smith, J.H. (deceased, former Gonville and Caius College, Cambridge) and Dickson, J.D.H. (Peterhouse College, Cambridge) On the decimalization of English money, and some simplifications in long division 
Butters, J.W. (George Heriot's School, Edinburgh) On the decimalization of money  
Burgess, A.G. (Ladies' College, Edinburgh) Note on the antireciprocal points  
Sprague, T.B. (Faculty of Actuaries) On the singular points of plane curves  
Edinburgh  Third, J.A. (Aberdeen) Triangles in multiple perspective, viewed in connection with determinants of the third order 
Taylor, J. (The Academy, Edinburgh) Note on mental division by large numbers  
Poole, H. A mechanical construction for the quartic trisectrix  
Glasgow  Miller, T.H. (Borough Road Training College) On the imaginary roots of the equation cos x = x 
Muirhead, R.F. (Glasgow) Some methods applicable to identities and inequalities of symmetric algebraic functions of n letters  
Davis, R.F. (Amateur mathematician) On the equation to a conic circumscribing a triangle  
Muirhead, R.F. (Glasgow) Construction connected with the locus of a point at which two segments of a straight line subtend equal angles  
Jackson, F.H. (School House, Cowbridge) Generalised forms of the series of Bessel and Legendre  
Edinburgh  Holm, A. (Girls' High School, Glasgow) On the convergents to a recurring continued fraction 
Davis, R.F. (Amateur mathematician) Elementary proof that the midpoints of the three diagonals of any quadrilateral are collinear  
Edinburgh  Lindsay, W.A. (Free Church Training College, Glasgow) A discussion on 'the coordination of the teaching of practical and theoretical geometry' 
190304  Back to the top

Edinburgh  Collignon, É. (Ponts et chaussées) Remarques sur l'intégration des fonctions α^{n}cos α dα, α^{n}sin α dα 
Gibson, G.A. (Glasgow) Note on M. Collignon's paper on the integration of α^{n}cos α dα and α^{n}sin α dα  
Thomson, W.L. (George Heriot's School, Edinburgh) A note on a theorem in double series  
Edinburgh  Jackson, F.H. (School House, Cowbridge) On some algebraic identities 
Jackson, F.H. (School House, Cowbridge) On a form of Maclaurin's theorem  
Davis, R.F. (Amateur mathematician) On the quadrilateral circuminscribed to two circles  
Edinburgh  Tweedie, C. (Edinburgh) Inequality theorem regarding the lines joining corresponding vertices of two equilateral, or directly similar, triangles, (Part 1 of 2) 
Picken, D.K. (Victoria College, Wellington, New Zealand) On the fractional infinite series for cosec x, sec x, cot x and tan x  
Picken, D.K. (Victoria College, Wellington, New Zealand) Note on the method of finding the particular integral of the differential equation f (D) y = a_{k}x^{k}  
Edinburgh  Tweedie, C. (Edinburgh) Inequality theorem regarding the lines joining corresponding vertices of two equilateral, or directly similar, triangles, (Part 2 of 2) 
Jackson, F.H. (School House, Cowbridge) A basicsine and cosine, with symbolical solutions of certain differential equations  
Glasgow  Butters, J.W. (George Heriot's School, Edinburgh) On the use of symmetry in geometry 
Holm, A. (Girls' High School, Glasgow) Some points in Diophantine analysis  
Wedderburn, J.H.M. (Leipzig) Note on the linear matrix equation  
Edinburgh  Gibson, G.A. (Glasgow) Note on the treatment of tangents in recent textbooks of elementary geometry 
Muirhead, R.F. (Glasgow) Minimum deviation through a prism  
Muirhead, R.F. (Glasgow) On the use of the term power in geometry, and on the treatment of the 'doubtful sign'  
Muirhead, R.F. (Glasgow) Solution of a geometrical problem  
Jackson, F.H. (School House, Cowbridge) Certain series of generalised Besselfunctions  
Edinburgh  Pinkerton, P. (George Watson's College, Edinburgh) The turning of values of a cubic and the nature of the roots of a cubic equation 
Tweedie, C. (Edinburgh) Note on Newton's theorem of symmetric functions  
Pinkerton, P. (George Watson's College, Edinburgh) Note on the problem: To draw through a given point a transversal to (a) a given triangle (b) a given quadrilateral so that the intercepted segments may have (a) a given ratio (b) a given cross ratio  
190405  Back to the top

Edinburgh  Collignon, É. (Ponts et chaussées) Recherches sur l'enveloppe des pédales des divers point d'une circonférence par rapport á un triangle inscrit 
Muir, T. (Glasgow High School) The condensation of continuants  
Edinburgh  Pinkerton, P. (George Watson's College, Edinburgh) The turning values of cubic and quartic functions and the nature of the roots of cubic and quartic equations 
Picken, D.K. (Victoria College, Wellington, New Zealand) The proof by projection of the addition theorem in trigonometry  
Collignon, É. (Ponts et chaussées) Two geometrical notes: Démonstration de deux théorèmes de géométrie  
Edinburgh  Lindsay, W.A. (Free Church Training College, Glasgow) A proof of the theorem that the arithmetic mean of n positive quantities is not less than their harmonic mean 
Valentine, G.D. (Advocate, Edinburgh) Two theorems on the factors of 2^{p}  1  
Ross, E.B. (Christian College, Madras, India) Contact between a curve and its envelope  
Edinburgh  Miller, J.N. A method of dividing the circumference of a circle into 360 equal parts 
Bromwich, T.J.l'A. (Cambridge) The ambiguous cases in the solution of spherical triangles  
Taylor, D.G. (Cardiff) Polar loci  
Glasgow  Burgess, A.G. (Ladies' College, Edinburgh) On the orthoptic locus of the semicubical parabola 
Holm, A. (Girls' High School, Glasgow) Determination of the radii of the circles which touch three given circles  
Muirhead, R.F. (Glasgow) Some proofs of Newton's theorem on sums of powers of roots  
Muirhead, R.F. (Glasgow) A proof of Waring's expression for  
Edinburgh  Mackay, J.S. (The Academy, Edinburgh) Bibliography of the envelope of the Wallace line: the threecusped hypocycloid 
Aiyar, R.V. (Trichinopoly, India) Notes on inequalities  
McIntyre, J.H.A. On mathematical instruments and the accuracy to be obtained with them in some elementary practical problems  
Edinburgh  Picken, D.K. (Victoria College, Wellington, New Zealand) A direct method of obtaining the foci and directrices from the general equation of the second degree 
Davis, R.F. (Amateur mathematician) Note on the determination of the axes of a conic  
Brown, A. (South African College, Cape Town) The ratio of incommensurables in elementary geometries  
190506  Back to the top 
Edinburgh  Sommerville, D.M.Y. (St Andrews) On the number of independent conditions involved in the vanishing of a rectangular array 
Jackson, F.H. (School House, Cowbridge) Certain series of basic Bessel coefficients  
McBride, J.A. (Allan Glen's School, Glasgow) A trigonometric dial: a teaching appliance  
Edinburgh  Tweedie, C. (Edinburgh) A problem of Lewis Carroll's, and the rational solutions of a Diophantine cubic 
Collignon, É. (Ponts et chaussées) Solution of the cubic equation  
Turner, J. (Royal High School, Edinburgh) On the teaching of geometry  
Edinburgh  Picken, D.K. (Victoria College, Wellington, New Zealand) On the reduction of (Lx + M)/[(Ax^{2} + 2Bx + C)^{m} √(ax^{2} + 2bx + c)] dx 
Crawford, G.E. (Clifton, Bristol) The determination of the centre of gravity of a circular arc by reference to a principal of dynamics  
Pinkerton, P. (George Watson's College, Edinburgh) On a ninepoint conic  
Pinkerton, P. (George Watson's College, Edinburgh) The parabolic path of a projectile  
Edinburgh  Jack, J. (Wilson College, Bombay) On the Pascal hexagram 
Wedderburn, J.H.M. (Edinburgh) On Newton's theorem in the calculus of variations  
Fraser, W.G. (School Teacher, Stirling) On the relations of certain conics to a triangle  
Glasgow  Peddie, W. (Edinburgh) The conditions for the reality of the roots of an nic 
Muirhead, R.F. (Glasgow) Proofs of an inequality  
Miller, J. (West of Scotland Technical College, Glasgow) Note on tortuous curves  
Arneil, L. (Provincial Training College, Glasgow) On a simple theodolite suitable for use in schools  
Edinburgh  Jack, J. (Wilson College, Bombay) A proof that the middle points of parallel chords of a conic lie on a fixed straight line 
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Notes on the Apollonian problem and the allied theory  
Edinburgh  Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Quantitative proofs of certain algebraical inequalities 
Ross, E.B. (Christian College, Madras, India) A symbolical method in geometrical optics  
Burgess, A.G. (Ladies' College, Edinburgh) Theorems connected with Simson's line  
190607  Back to the top

Edinburgh  Wedderburn, J.H.M. (Edinburgh) Note on hypercomplex numbers 
Collignon, É. (Ponts et chaussées) Various questions relative to the triangle  
Edinburgh  Gibson, G.A. (Glasgow) De la Vallée Poussin's extension of Poisson's integral 
Davis, R.F. (Amateur mathematician) A problem in conics  
Pinkerton, P. (George Watson's College, Edinburgh) Points at infinity, etc. , in a plane  
Edinburgh  Miller, J. (West of Scotland Technical College, Glasgow) On the cartesian coordinates of classes of tortuous curves 
Aiyar, R.V. (Trichinopoly, India) On the arithmetic and geometric means inequality  
Finlayson, W. (lived in Edinburgh) Coaxial circles and conics  
Edinburgh  Picken, D.K. (Victoria College, Wellington, New Zealand) Note on the envelopeinvestigation 
Aiyar, R.V. (Trichinopoly, India) On the 'e' inequality  
McIntosh, D.C. (Ladies' College, Edinburgh) On the teaching to beginners of such transformations as (a) = +a  
Glasgow  Wedderburn, J.H.M. (Edinburgh) On commutative matrices 
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) On Vandermonde's theorem and some more general expansions  
Pinkerton, P. (George Watson's College, Edinburgh) On areatheory and some applications  
Edinburgh  Sommerville, D.M.Y. (St Andrews) On certain projective configurations in space of n dimensions, and a related problem in arrangements 
Leggett, C.M.K. (lived in London) On a problem in rigid dynamics  
Collignon, É. (Ponts et chaussées) Pythagoras's theorem  
Edinburgh  Mackay, J.S. (The Academy, Edinburgh) Herbert Spencer and mathematics 
Muirhead, R.F. (Glasgow) Elementary methods for calculating first and second moments of simple configurations  
Davis, R.F. (Amateur mathematician) On arithmetical approximations  
190708  Back to the top

Edinburgh  Jack, J. (Wilson College, Bombay) Poles and polars of a conic 
Collignon, É. (Ponts et chaussées) Problem in plane geometry  
Davis, R.F. (Amateur mathematician) A first evaluation of π  
Edinburgh  Greenhill, A.G. (Royal Military Academy, Woolwich) The dygogram of axle reaction of a pendulum 
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Notes on Spherical Harmonics  
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Notes on the Apollonian problem and the allied theory  
Edinburgh  Anglin, A.H. (Queen's College, Cork) On the lengths of a pair of tangents to a conic 
Dixon, A.C. (Queen's College, Belfast) On the lines which intersect three given lines in space  
Dixon, A.C. (Queen's College, Belfast) Proof that every rational algebraic equation has a root  
Finlayson, W. (lived in Edinburgh) Theorem regarding orthogonal conics  
Edinburgh  McLeod, C. (Grammar School, Aberdeen) A discussion on 'The place of graphs in a course of mathematics' 
Glasgow  Miller, J. (West of Scotland Technical College, Glasgow) On the geometry of the conic and the triangle 
Muirhead, R.F. (Glasgow) To express a determinant of the nth order in terms of compound determinants of the second order, and vice versa  
Muirhead, R.F. (Glasgow) A graphic method of solving n simultaneous linear equations involving n unknowns  
McBride, J.A. (Allan Glen's School, Glasgow) School apparatus for determining g  
Edinburgh  Tweedie, C. (Edinburgh) Examples in the geometry of cross ratios 
Naraniengar, M.T. (Central College, Bangalore) The intrinsic properties of curves  
Thomson, J.G. (lived in Edinburgh) Geometrical extraction of cube root  
Edinburgh  Naraniengar, M.T. (Central College, Bangalore) On contact of curves 
Sanjana, K.J. (Bhaonagar, Bombay) On factors of numbers of the form {x^{2n+1}k ± 1} /{x^{k} ± 1}  
Miller, T.H. (Training College, Isleworth) A problem in the theory of numbers  
190809  Back to the top

Edinburgh  Finlayson, W. (lived in Edinburgh) A certain relation between coaxial circles and conics 
Greenhill, A.G. (Royal Military Academy, Woolwich) The revolving chain  
Edinburgh  Wedderburn, J.H.M. (Edinburgh) On certain theorems in determinants 
Collignon, É. (Ponts et chaussées) Problem in plane geometry  
Edinburgh  Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) On the Tucker circles of a spherical triangle 
Miller, W. (lived in Glasgow) A simple theodolite: A teaching appliance  
Muir, T. (Glasgow High School) Waring's expression for a symmetric function in terms of like powers  
Edinburgh  Allardice, R.E. (Edinburgh) On the locus of a foci of a system of similar conics through three points 
Miller, J. (West of Scotland Technical College, Glasgow) Note on the geometry of the triangle  
Glasgow  Edwardes, F.E. (Harrow School) On the stationary eccentricity of a system of conics through four given points 
Holm, A. (Girls' High School, Glasgow) Theorems on the summation of series  
Thompson, H.F. (The Academy, Edinburgh) A geometrical proof of a theorem connected with the tetrahedron  
Edinburgh  Brown, A.C. (Edinburgh) Polygons and polyhedra of higher species: Relation between the distances of a point from three vertices of a regular polygon 
Edinburgh  Brown, A. (South African College, Cape Town) The relation between the distances of a point from three vertices of a regular polygon 
Thomson, J.G. (lived in Edinburgh) Geometrical construction for the approximate evaluation of π/4  
190910  Back to the top

Edinburgh  Muirhead, R.F. (Glasgow) On Wilkinson's method of treating the ninepoints circle, with generalizations 
Muirhead, R.F. (Glasgow) The anharmonic ratios of four points in a straight line  
Edwardes, F.E. (Harrow School) On the stationary eccentricity of a system of fourtangent conics  
Edinburgh  Stokes, G.D.C. (Glasgow) On the integration of the canonic equations and the principle of duality 
Carslaw, H.S. (Sydney, Australia) Gauss's theorem on the regular polygons which can be constructed by Euclid's method  
Naraniengar, M.T. (Central College, Bangalore) Notes on the threecusped hypocycloid  
Edinburgh  Sanjana, K.J. (Bhaonagar, Bombay) On series for calculating Euler's constant and the constant in Stirling's theorem 
Sommerville, D.M.Y. (St Andrews) A problem in voting  
Sommerville, D.M.Y. (St Andrews) Classification of geometries with projective metric  
Edinburgh  Naraniengar, M.T. (Central College, Bangalore) The locus of points at which two sides of a given triangle subtend equal or supplementary angles 
Craig, J.I. (Survey Department, Cairo, Egypt) Orthogonal trajectories in vectorial coordinates  
Glasgow  Archibald, R.C. (Brown University, Providence, Rhode Island, USA) Historical note on Wallace's line 
Carslaw, H.S. (Sydney, Australia) The BolyaiLobatschewsky nonEuclidean geometry: an elementary interpretation of this geometry and some results which follow from this interpretation  
Bell, R.J.T. (Glasgow) The locus of the straight lines which intersect three given lines  
Bell, R.J.T. (Glasgow) The factors of (abcfgh)(xyz)^{2}  λ(x^{2} + y^{2} + z^{2})  
Edinburgh  Crawford, G.E. (Clifton, Bristol) Properties of quadrilaterals and fivepoint space figures 
Sommerville, D.M.Y. (St Andrews) Note on the geometries in which straight lines are represented by circles  
Edinburgh  Archibald, R.C. (Brown University, Providence, Rhode Island, USA) Discussion and history of certain geometrical problems of Heraclitus and Apollonius 
McLeod, C. (Grammar School, Aberdeen) and Milne, W.P. (Clifton College, Bristol) Triangles triply in perspective  
191011  Back to the top

Edinburgh  Thomson, J.G. (lived in Edinburgh) The relation between the golden section of the radius and the quinquesection of the circle 
Pressland, A.J. (The Academy, Edinburgh) The recent reform of teaching of mathematics and science in Germany  
Edinburgh  Milne, W.P. (Clifton College, Bristol) A property of the harmonic triangle of the complete quadrangle formed by the four points of contact of the four tangents to the cubic curve from a point on it 
Valentine, G.D. (Advocate, Edinburgh) A root of the cubic equation expressed as a continued fraction  
Valentine, G.D. (Advocate, Edinburgh) A method of investigating the geometry of families of curves, with examples  
Edinburgh  Allardice, R.E. (Edinburgh) On the envelope of the directrices of a system of similar conics through three points 
Dixon, A.C. (Queen's College, Belfast) Approximation by means of convergent fractions  
Edinburgh  Milne, W.P. (Clifton College, Bristol) The focal circles of circular cubics 
Sanjana, K.J. (Bhaonagar, Bombay) Note on Professor Allardice's paper "On the locus of the foci of a system of similar conics through three points"  
Martin, A. (amateur American mathematician) Algebraic solution to the threepoint problem  
Glasgow  Edwardes, F.E. (Harrow School) (i) A proof of Dupin's theorem, (ii) Two methods of obtaining Cayley's condition that a family of surfaces may form one of an orthogonal triad, (iii) An extension of Dupin's theorem 
Donaldson, J.A. Fermat's theorem deduced from theory of circulating radix fractions  
Edinburgh  Pinkerton, P. (George Watson's College, Edinburgh) The scope of elementary geometry 
Edinburgh  Miller, J. (West of Scotland Technical College, Glasgow) On a class of surfaces 
Muirhead, R.F. (Glasgow) A method for successive graphic interpretations  
Taylor, D.G. (University College, Cardiff) Endtoend focal chords in an ellipse  
Milne, W.P. (Clifton College, Bristol) The focal and bitangent properties of bicircular quartics  
191112  Back to the top

Edinburgh  Milne, W.P. (Clifton College, Bristol) The system of cubic curves circumscribing two triangles and apolar to them 
Milne, W.P. (Clifton College, Bristol) An easy geometric representation of the sextic covariant of a binary quartic  
Miller, T.H. (Training College, Isleworth) On the numerical calculation of natural logarithms  
Edinburgh  Peddie, W. (University College, Dundee) The mechanical solution of an nic, and exhibition of a model for the determination of the roots of a cubic 
Sommerville, D.M.Y. (St Andrews) Einstein's principle of relativity in its kinematical aspect  
Sommerville, D.M.Y. (St Andrews) Note on Legendre's and Bertrand's proof of the parallel postulate by infinite areas  
Edinburgh  Donaldson, J.A. An infinite series of triangles and conics with a common pole and polar 
Edwardes, F.E. (Harrow School) The condition that the family of surfaces φ(x, y, z, λ) = 0 may be one of an orthogonal triad  
Davis, R.F. (Amateur mathematician) Graphical trisection of circular arc  
Edinburgh  Goldziher, C. (Budapest, Hungary) On graphical integration 
Muirhead, R.F. (Glasgow) A mechanism for solving equations for the nth degree  
Philip, G. (George Watson's College, Edinburgh) The geometry of the general pedal curve  
Gentle, W. (George Heriot's School, Edinburgh) An extension of the remainder theorem  
Glasgow  Stokes, G.D.C. (Glasgow) An analytical study of plane rolling mechanisms 
Tweedie, C. (Edinburgh) The fundamental formula for the area of a triangle in analytical geometry  
Horsburgh, E.M. (Edinburgh) Proof of a fundamental relation in the theory of bending between the bending moment and load curves, or between the deflection and bending moment curves  
Levy, H. (Göttingen) An extension of Clairaut's differential equation  
Edinburgh  Milne, W.P. (Clifton College, Bristol) Further investigations of circular cubics and bicircular quartics 
Texeira, F.G. (Porto) Note on the researches of Maclaurin on circular cubics  
Piaggio, H.T.H. (Nottingham) Note on linear differential equations with constant coefficients  
Edinburgh  Gibson, G.A. (Glasgow) On graphical work in school teaching 
Edinburgh  Carslaw, H.S. (Sydney, Australia) A problem in the linear flow of heat discussed from the point of view of the theory of integral equations 
Taylor, D.G. (University College, Cardiff) Linear substitutions and their invariants  
Brash, W. (Edinburgh undergraduate) Two general theorems in the differential calculus  
191213  Back to the top

Edinburgh  Carslaw, H.S. (Sydney, Australia) Integral equations and the determination of Green's functions in the theory of potential 
Edwardes, F.E. (Harrow School) On the expansion of (1 + z^{2}/2! + z^{3}/3! + ...)^{n} in positive integral powers of z, when n is a large positive integer  
Swaminarayan, J.C. (Gujerat College, Ahmedabad, India) A determinantal proof of Ptolemy's theorem  
Edinburgh  Bell, R.J.T. (Glasgow) A method of finding i) the double points of a unicursal curve and ii) unicursal quartics with three given double points 
Stokes, G.D.C. (Glasgow) Integration of the xu differential equation in the problem of two bodies  
Taylor, F.G. (University College, Nottingham) The point "O" and two associated cubics  
Edinburgh  Davis, R.F. (Amateur mathematician) On a certain algebraical elimination 
Swaminarayan, J.C. (Gujerat College, Ahmedabad, India) Osculating conic at any point of a given plane curve  
Levy, H. (Göttingen) Diametrical curves, and mean point loci of systems of curves and surfaces  
Edinburgh  Philip, G. (George Watson's College, Edinburgh) A problem of Robert Simson's 
Donaldson, J.A. On the summation of 1^{r} + 2^{r} + 3^{r} + ... + n^{r}  
Swaminarayan, J.C. (Gujerat College, Ahmedabad, India) Generalized form of Clairaut's equation  
Glasgow  Robertson, D. Some optical constructions (i) A geometrical construction for the rainbow formula, (ii) Geometrical constructions for refraction and reflection in a prism 
Third, J.A. (Aberdeen) Geometrical constructions for refraction and reflection in a prism  
Muirhead, R.F. (Glasgow) Notes on mathematical induction  
Edinburgh  Milne, W.P. (Clifton College, Bristol) A system of nonagons nonuply in perspective 
Taylor, D.G. (University College, Cardiff) On a certain class of linear substitutions of order four  
Edinburgh  Whittaker, E.T. (Edinburgh) Changes in university mathematics during the last twenty years 
Edinburgh  Finlayson, W. (lived in Edinburgh) The "O" circle of the coaxial triad through the vertices of a triangle, and the "O" locus for a cyclic quadrangle 
Horsburgh, E.M. (Edinburgh) A simple linkage for describing equal areas  
Horsburgh, E.M. (Edinburgh) Model of a wellknown deformable triangular linkage  
Horsburgh, E.M. (Edinburgh) Graphical harmonic analysis  
191314  Back to the top 
Edinburgh  Basset, A.B. (Amateur mathematician) On a class of singularities discussed by Dr Sprague 
Taylor, F.G. (University College, Nottingham) and Marr, W.L. (High School for Girls, Aberdeen) The six trisectors of each of the angles of a triangle  
Edinburgh  Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Notes on spherical harmonics 
Gibson, G.A. (Glasgow) Napier's Logarithms  
Humbert, P. (Edinburgh) On some results concerning integral equations  
Edinburgh  Bell, R.J.T. (Glasgow) Note on the axes of a normal section of the enveloping cylinder of a conicoid 
Milne, A. (Provincial Training College, Edinburgh) On the equation of the parabolic cylinder functions  
Whittaker, E.T. (Edinburgh) On the continued fractions which represent the functions of Hermite and other functions defined by differential equations  
Edinburgh  Burgess, A.G. (Ladies' College, Edinburgh) Concurrency of lines joining vertices of a triangle to opposite vertices of triangles on its sides 
Sommerville, D.M.Y. (St Andrews) Note on Gauss's proof of the reciprocity of parallelism  
Young, A.W. (St Andrews) On the quasiperiodic solutions of Mathieu's differential equation  
Glasgow  Muirhead, R.F. (Glasgow) Some graphical methods for determining centres of gravity 
Muirhead, R.F. (Glasgow) Theorems analogous to Newton's theorems on symmetric functions: with elementary proofs  
Taylor, D.G. (University College, Cardiff) On certain formulae connected with the function (cos nα  cos nθ)/(cos α cos θ)  
Picken, D.K. (Victoria College, Wellington, New Zealand) On summable series and Bernoullian numbers  
Edinburgh  Taylor, F.G. (University College, Nottingham) The relation of Morley's theorem to the Hessian axis and circumcentre 
Marr, W.L. (High School for Girls, Aberdeen) Morley's trisection theorem: an extension and its relation to the circles of Apollonius  
Picken, D.K. (Victoria College, Wellington, New Zealand) On Simson's line and related theory: an exercise in geometric generality  
Ince, E.L. (Edinburgh) On certain theorems on continued fractions equivalent to Riemann's and other transformations of the Pfunction  
Edinburgh  Gray, A. (Glasgow) On the attractions of spherical and ellipsoidal shells 
Whittaker, E.T. (Edinburgh) On the general solution of Mathieu's equation  
Philip, G. (George Watson's College, Edinburgh) Napier's 'De Arte Logistica'  
191415  Back to the top 
Edinburgh  Watson, G.N. (University College, London) The convergence of the series in Mathieu's functions, {Communicated by Professor Whittaker} 
Sommerville, D.M.Y. (St Andrews) Taylor's cubics associated with a triangle in nonEuclidean geometry  
Ince, E.L. (Edinburgh) The elliptic cylinder functions of the second kind  
Edinburgh  Thompson, A.W.H. (Trinity College, Cambridge) The geometry of space, {Communicated by Thomas M MacRobert} 
Whittaker, E.T. (Edinburgh) On a class of differential equations whose solutions satisfy integral equations  
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) A theorem on the contact of circles leading up to the theorems of Feuerbach and Hart  
Edinburgh  Briggs, H. Vector errors 
Thompson, A.W.H. (Trinity College, Cambridge) Solid Geometry, {Communicated by Thomas M MacRobert}  
Whittaker, E.T. (Edinburgh) On an integralequation whose solutions are the Legendre polynomials  
Milne, W.P. (Clifton College, Bristol) Easy proof of von Staudt's theorem, {Communcated by Peter Comrie}  
Edinburgh  Bryan, G.H. (University College, Bangor) Note on suspension bridge catenaries, {Communicated by Ellice Martin Horsburgh} 
Humbert, P. (Edinburgh) On a class of integral equations, {Communicated by Professor Whittaker}  
Milne, A. (Provincial Training College, Edinburgh) On the roots of the confluent hypergeometric functions  
Knott, C.G. (Edinburgh) Quaternion proof of the theorem of moments in rigid dynamics  
Blades, E. (George Watson's Ladies' College, Edinburgh) On spheroidal harmonics  
Glasgow  Thompson, A.W.H. (Trinity College, Cambridge) Solid geometry 
Stokes, G.D.C. (Glasgow) A simple link apparatus for the mechanical solution of quadratic equations  
Tavani, F. New formulae about the theory of the series of alternate sign, {Communicated by A S Morrison}  
Edinburgh  Ford, L.R. (Edinburgh) On the roots of a derivative of a rational function 
Tweedie, C. (Edinburgh) Studies of the life and writings of Colin Maclaurin, {Communicated by David Gibb}  
Flint, H.T. Recurrence formulae for the functions which represent solutions of the differential equation d^{2}u/dx^{2}  α^{2}u = p(p+1)u/x^{2}, {Communicated by Archibald Milne}  
Whittaker, E.T. (Edinburgh) Exhibition of two simple nomograms  
Edinburgh  Jeffery, G.B. (University College, London) On spheroidal harmonics and allied functions, {Communicated by Edward Blades} 
Burgess, A.G. (Ladies' College, Edinburgh) Determinants connected with the periodic solutions of Mathieu's equation  
Ford, L.R. (Edinburgh) On the oscillating functions derived from a discontinuous function  
Marr, W.L. (High School for Girls, Aberdeen) The angle between two lines in trilinears  
191516  Back to the top

Edinburgh  Strang, J.A. The solution of difference equations by continued fractions, {Communicated by Archibald Milne} 
Steggall, J.E.A. (University College, Dundee) A suggested measure of relationship  
Steggall, J.E.A. (University College, Dundee) The solution of difference equations by continued fractions  
Crawford, G.E. (Clifton, Bristol) Notes on a triangle, {Communicated by T A Brown}  
Press, E. (Bank of Abyssinia, Addis Ababa, Abyssinia) An easy geometrical proof of a theorem of Chasles, {Communicated by J Mackenzie}  
Edinburgh  Taylor, D.G. (University College, Cardiff) Real linear substitutions with equimodular multipliers, and their expression in terms of their invariants, {Communicated by Thomas M MacRobert} 
Brodetsky, S. (Bristol) On the linear differential equation of the second order, {Communicated by H Levy}  
Brown, T.A. (postgraduate student, Edinburgh) Fourier's integral  
Edinburgh  Datta, H. (postgraduate student, Edinburgh) On the theory of continued fractions 
Milne, A. (Provincial Training College, Edinburgh) The conformal representation of the quotient of two Bessel functions  
Edinburgh  Ince, E.L. (Edinburgh) On the continued fractions associated with the hypergeometric equation, {Communicated by Glenny Smeal} 
Milne, A. (Provincial Training College, Edinburgh) Note on the PeanoBaker method of solving linear differential equations  
Gibb, D. (Librarian, Edinburgh) On integral relations connected with the hypergeometric function  
Horsburgh, E.M. (Edinburgh) A simple form of integrometer  
Glasgow  Tinto, J.F. On the threedimensional transformations founded on the twisted cubic and its chord systems 
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Elliptic cylindrical harmonics: The solution of Mathieu's differential equation  
Edinburgh  Brodetsky, S. (Bristol) The linear differential equation of the second order, {Communicated by Ellice Martin Horsburgh} 
Sommerville, D.M.Y. (St Andrews) A new nomogram for the cubic equation, {Communicated by Professor Whittaker}  
Philip, G. (George Watson's College, Edinburgh) On a group of parabolas associated with the triangle  
Taylor, F.G. (University College, Nottingham) Birationally related cubics, {Communicated by Alexander George Burgess}  
Edinburgh  Whittaker, E.T. (Edinburgh) On the solution of Riccati's equation by continued fractions 
Datta, H. (postgraduate student, Edinburgh) On symmetric determinants and Pfaffians  
Milne, W.P. (Clifton College, Bristol) The Hessianpolars of ndimensional cubics, {Communicated by Peter Ramsay}  
Milne, W.P. (Clifton College, Bristol) Determinantal systems of points, {Communicated by Peter Ramsay}  
Taylor, F.G. (University College, Nottingham) An involution pencil of wholeplane birationally related cubics, {Communicated by Alexander George Burgess}  
191617  Back to the top

Edinburgh  Whittaker, E.T. (Edinburgh) Some theorems on determinants 
Datta, H. (postgraduate student, Edinburgh) On the theory of continued fractions: second paper  
Edinburgh  Ford, L.R. (Edinburgh) On a class of continued fractions 
Whittaker, E.T. (Edinburgh) On certain determinants of Cayley and Sylvester  
Horsburgh, E.M. (Edinburgh) An addition to the sliderule  
Edinburgh  Milne, W.P. (Clifton College, Bristol) The apolar locus of two tetrads of points, {Communicated by Peter Ramsay} 
Ford, L.R. (Edinburgh) A method of solving algebraic equations  
Edinburgh  Milne, W.P. (Clifton College, Bristol) The coapolars of a cubic curve, {Communicated by Archibald Milne} 
Brodetsky, S. (Bristol) On the general linear differential equation, {Communicated by Ellice Martin Horsburgh}  
Edinburgh  Jeffery, G.B. (University College, London) Transformations of axes for Whittaker's solution of Laplace's equation, {Communicated by Edward Blades} 
Datta, H. (postgraduate student, Edinburgh) On the failure of Heilermann's theorem  
Edinburgh  Ford, L.R. (Edinburgh) A geometrical proof of a theorem by Hurwitz and Borel 
Taylor, D.G. (University College, Cardiff) Geometrical illustrations of cyclant substitutions, {Communicated by Alexander George Burgess}  
Edinburgh  Whittaker, E.T. (Edinburgh) On the latent roots of compound determinants and Brill's determinants 
Marr, W.L. (High School for Girls, Aberdeen) A closed system of triangles apolar to a given triangle, and derivative systems, {Communicated by Peter Ramsay}  
Tinto, J.F. On a group of transformations connected with the 27 lines of the cubic surface, {Communicated by Peter Ramsay}  
Tinto, J.F. On the plane representation of a certain class of homaloidal surfaces, {Communicated by Peter Ramsay}  
Young, A.W. On the computation of a Lagrangian interpolation, {Communicated by Professor Whittaker}  
Ford, L.R. (Edinburgh) The effect of a rise in prices on the amount of small money used  
191718  Back to the top

Edinburgh  Milne, W.P. (Clifton College, Bristol) The apolar locus of two tetrads of points on a conic, {Communicated by Archibald Milne} 
Brown, F.G.W. (West Ham Municipal Technical Institute) The Brocard and Tucker circles of a cyclic quadrilateral, {Communicated by Eleanor Pairman}  
Edinburgh  Tweedie, C. (Edinburgh) Nicole's contribution to the foundations of the calculus of finite differences, {Communicated by Ellice Martin Horsburgh} 
Whittaker, E.T. (Edinburgh) An asymptotic representation of the exponential function: On Poisson's integralequation  
Edinburgh  Pairman, E. (Edinburgh) On a difference equation due to Stirling 
Whittaker, E.T. (Edinburgh) On Bernoulli's and Fürstenau's methods for the solution of equations  
Horsburgh, E.M. (Edinburgh) An approximate formula for the length of an arc of a suspended rope  
Edinburgh  Smeal, G. (Edinburgh) The parameter method of iteration 
Pairman, E. (Edinburgh) A new form of the remainder in Newton's interpolation formula  
Edinburgh  Knott, C.G. (Edinburgh) Note on the Quaternion theory of confocals 
Muirhead, R.F. (Glasgow) Geometrical notes on the accelerations of points of a rigid plane body moving in its own plane, {Communicated by Ellice Martin Horsburgh}  
Edinburgh  Sommerville, D.M.Y. (St Andrews) Some applications of spherical geometry to geometrical optics, {Communicated by Edmund Taylor Whittaker} 
Sommerville, D.M.Y. (St Andrews) Note on the minimum duration of twilight, {Communicated by Edmund Taylor Whittaker}  
Miller, T.H. (Training College, Isleworth) Note on the radical axis of intersecting circles, {Communicated by Peter Ramsay}  
Muirhead, R.F. (Glasgow) Rolling loads: a new graphical method, {Communicated by Ellice Martin Horsburgh}  
Edinburgh  Pairman, E. (Edinburgh) Relations connected with the generalised differentiation 
Whittaker, E.T. (Edinburgh) Some new expansions in series of polynomials: A formula for the solution of algebraic or transcendental equations  
191819  Back to the top

Edinburgh  Steggall, J.E.A. (University College, Dundee) Notes on the homographic transformation of the cubic and biquadratic 
Edinburgh  Tweedie, C. (Edinburgh) The Stirling numbers and polynomials, {Communicated by Archibald Milne} 
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) A theorem of Sonine in Bessel functions, with two extensions to spherical harmonics  
Bowman, F. (College of Science and Technology, Manchester) Note on the complete Jacobian elliptic integral  
Edinburgh  Horsburgh, E.M. (Edinburgh) A mechanical solution of a differential equation of torsion 
Bowman, F. (College of Science and Technology, Manchester) Note on the intersection of a plane curve and its Hessian at a multiple point, {Communicated by Peter Ramsay}  
Bowman, F. (College of Science and Technology, Manchester) Note on the formula for the radius of the circumsphere of a tetrahedron in terms of edges, {Communicated by Peter Ramsay}  
Edinburgh  Tinto, J.F. On the stereometric generation of the de Jonquières transformation 
Edinburgh  Whittaker, E.T. (Edinburgh) Some disputed questions of probability 
Knott, C.G. (Edinburgh) Systems of rays in quaternion symbolism  
Edinburgh  Metzler, W.H. (Syracuse University, New York) Theorems connected with the differentiation of a circulant, {Communicated by Glenny Smeal} 
MacRobert, T.M. (Glasgow) Relations between the integrals of the hypergeometric equation  
Edinburgh  Marr, W.L. (High School for Girls, Aberdeen) Determinantal systems of apolar triads in the twisted cubic 
Marr, W.L. (High School for Girls, Aberdeen) The cosymmedian system of tetrahedra inscribed in a sphere  
Sommerville, D.M.Y. (St Andrews) Approximations to the length of an arc, {Communicated by Ellice Martin Horsburgh}  
Taylor, D.G. (University College, Cardiff) A new approximate formula for the complete elliptic integrals K(k), E(k)  
191920  Back to the top

Edinburgh  Whittaker, E.T. (Edinburgh) A new basis for graduation 
Richmond, H.W. (King's College, Cambridge) A geometrical proof of Professor Morley's extension of Feuerbach's theorem, {Communicated by Peter Ramsay}  
Glasgow  Gibson, G.A. (Glasgow) A proof of the binomial theorem, with some applications 
Muirhead, R.F. (Glasgow) Extension of Frenet's formulae to a curve in flat space of n dimensions  
Muirhead, R.F. (Glasgow) A version of Hagen's proof of the law of error  
Edinburgh  McArthur, N. (Glasgow) Note on the polynomials which satisfy the differential equation x(d^{2}y/dx^{2}) + (γ  x)dy/dx  αy = 0 
Horsburgh, E.M. (Edinburgh) The slip surface and failure of metal in tension  
Davis, R.F. (Amateur mathematician) Geometrical note on the orthopole, {Communicated by Glenny Smeal}  
Edinburgh  MacRobert, T.M. (Glasgow) The modified Bessel function K(z) 
Horsburgh, E.M. (Edinburgh) A radiant transparent scale for use with an abacus  
Barclay, W.A. Nomograms for financial formulae  
Edinburgh  Tweedie, C. (Edinburgh) The life of James Stirling, the Jacobite Mathematician, with exhibition of autograph letters by N. Bernoulli, Clairaut, Cramer, Euler, Maclaurin and Stirling 
Mitchell, J. On the arrangement of signs of the terms in a certain double series given by Arndt, {Communicated by W S Catto}  
Edinburgh  Whittaker, E.T. (Edinburgh) Some developments in curvefitting and the calculus of differences 
Knott, C.G. (Edinburgh) Robert Hooke on molecular interplay  
Edinburgh  Smeal, G. (Edinburgh) On direct and inverse interpolation by divided differences 
192021  Back to the top

Edinburgh  Thomson, W.L. (George Heriot's School, Edinburgh) On inverse probability 
Moon, F.W. A problem in engineering geology, {Communicated by William L Thomson}  
Glasgow  Stokes, G.D.C. (Glasgow) An analytical treatment of the cam problem 
Taylor, D.G. (University College, Cardiff) Multiply perspective polygons inscribed in a plane cubic curve, {Communicated by Neil McArthur}  
Brown, T.A. Converse of the Le Roy Lindelof theorem  
Edinburgh  Humbert, P. (Faculty of Science, Montpellier) Some extensions of Pincherle's polynomials, {Communicated by Professor Whittaker} 
MacRobert, T.M. (Glasgow) Asymptotic expansions for the Bessel functions, and the FourierBessel expansions  
Todd, H. (Bristol) On the average value of a variant magnitude, {Communicated by Peter Ramsay}  
Edinburgh  Taylor, D.G. (University College, Cardiff) Addition of a third of a period to the argument of the elliptic function, {Communicated by Thomas M MacRobert} 
Arthur, W. and McArthur, N. (Glasgow) Notes on analytical geometry  
Edinburgh  Ross, E.B. (Christian College, Madras, India) and Baker, B.B. (Edinburgh) A problem in dynamics: The vibrations of a particle about a position of equilibrium, 
 
Edinburgh  Baker, B.B. (Edinburgh) On the relation between Pincherle's polynomials and the hypergeometric function 
Strang, J.A. (Canning College, Lucknow, India) The inverse problem of insoptic loci, {Communicated by James D Fulton}  
Genese, R.W. (Aberystwyth) On a supplement to Gauss's theorem on the sum of two squares, {Communicated by Peter Ramsay}  
Glasgow  Carslaw, H.S. (Sydney, Australia) On some map projections, including the story of Mercator's projection  a chapter in the history of mathematics 
Gibson, G.A. (Glasgow) Taylor's theorem and Bernoulli's theorem: a historical note  
192122  Back to the top

Edinburgh  Whittaker, E.T. (Edinburgh) The geometry of relativity 
Glasgow  Marshall, W. (Purdue University, Lafayette, Indiana) Determination of the arbitrary constants which appear in the asymptotic expansions for the functions of the elliptic cylinder, {Communicated by Thomas M MacRobert} 
Stokes, G.D.C. (Glasgow) A school method of evaluation π  
Stokes, G.D.C. (Glasgow) A dissection of the extended form of Pythagoras's theorem  
Davis, R.F. (Amateur mathematician) Note on Halley's Problem: To construct an ellipse whose focus is given, which shall pass through three given points, {Communicated by Peter Ramsay}  
Edinburgh  Baker, B.B. (Edinburgh) The vibrations of a particle about a position of equilibrium, Part 2. The relation between series and elliptic function solutions 
Whittaker, E.T. (Edinburgh) On Sylvester's dialytic method of elimination  
Whittaker, E.T. (Edinburgh) Note on an asymptotic expansion for the exponential function  
Edinburgh  MacRobert, T.M. (Glasgow) The asymptotic expansion of the confluent hypergeometric function and a FourierBessel expansion 
Green, S.L. (Queen Mary College, London) Note on the tetrahedron, {Communicated by David Gibb}  
Horsburgh, E.M. (Edinburgh) Root extraction by the calculating machine  
Edinburgh  Knott, C.G. (Edinburgh) Recent work on earthquake waves 
Lidstone, G.J. (Scottish Widows' Fund in Edinburgh) A new form for the sum of a trigonometric series, {Communicated by George D C Stokes}  
Glasgow  Gibson, G.A. (Glasgow) Newton's conception of a limit as interpreted by Jurin and Robins respectively 
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Remarks on Mathieu's functions  
St Andrews  Turnbull, H.W. (St Andrews) The invariant theory of circles and bicircular quartics 
Humbert, P. (Faculty of Science, Montpellier) On Mathieu's functions of higher order, {Communicated by David Gibb}  
Lidstone, G.J. (Scottish Widows' Fund in Edinburgh) Notes on Everett's interpolation formula, {Communicated by George Robinson}  
Wolff, C.E. Notes on problems in the theory of potential  
192223  Back to the top

Edinburgh  Baker, B.B. (Edinburgh) The vibrations of a particle about a position of equilibrium, Part 3, The significance of the divergence of the series solution 
Baker, B.B. (Edinburgh) The vibrations of a particle about a position of equilibrium, Part 4, The convergence of the trigonometric series of dynamics  
Daniell, A. (lawyer) Note on the integral powers of multinomials  
Glasgow  MacRobert, T.M. (Glasgow) The asymptotic expansions of the spherical harmonics 
Vaidyanathaswami, R. (The University, Madras, India) On decreasing sequences of positive integers  
Edinburgh  Whittaker, E.T. (Edinburgh) On some questions connected with skew determinants 
King, A.W. A form of Laplace's operator, {Communicated by Edward Thomas Copson}  
Edinburgh  Turnbull, H.W. (St Andrews) The algebra of geometrical reciprocation 
Turnbull, H.W. (St Andrews) Gordan's theorem for double binary forms  
Ayyangar, A.A.K. (Mysore, India) Notes on elementary geometry, {Communicated by J B Lockhart}  
Edinburgh  Pressland, A.J. (The Academy, Edinburgh) A discussion on the teaching of elementary geometry 
Glasgow  Gibson, G.A. (Glasgow) James Gregory's mathematical work: a study based chiefly on his letters 
Brodetsky, S. (Leeds) On curved barriers  
Ince, E.L. (Liverpool) Associated Mathieu functions, {Communicated by Archibald Milne}  
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) On the solution of Mathieu's differential equation and their asymptotic expansions  
St Andrews  Steggall, J.E.A. (University College, Dundee) Notes on the equations of the epicycloids and hypocycloids 
Turnbull, H.W. (St Andrews) Note on the inversion geometry of bicircular quartics  
Saddler, W. (St Andrews) Geometrical interpretation of a few concomitants of the cubic in the Argand plane  
Vaidyanathaswami, R. (The University, Madras, India) Note on an extension of the harmonic relation between two conics  
Eastwood, G.S. (Beath Secondary School in Cowdenbeath) On tubes of force in a special class of electromagnetic fields  
Gabbat, J.P. (Peterhouse, Cambridge) On the nonEuclidean analogues of Tarry's point  
Sommerville, D.M.Y. (St Andrews) Spacefilling tetrahedra in Euclidean space  
Green, S.L. (Queen Mary College, London) On the relation between two quadrics which are such that the edges of an icosahedron inscribed in one are tangents to the other  
192324  Back to the top 
Edinburgh  Gray, M.C. (Imperial College of Science and Technology, London) The equation of telegraphy 
Aitken, A.C. (Edinburgh) An elementary proof of Girard's theorem  
Aitken, A.C. (Edinburgh) An infinite product of Euler  
Glasgow  MacRobert, T.M. (Glasgow) Expansions in series of spherical harmonics 
Blades, R.F. Direct proofs of theorems in elementary geometry  
Aitken, A.C. (Edinburgh) and Frewin, G.L. (George Watson's College, Edinburgh) The numerical evaluation of double integrals  
Copson, E.T. (Edinburgh) On a linear partial differential equation of hyperbolic type  
Edinburgh  Turnbull, H.W. (St Andrews) Canonical forms of the cubic surface 
Whittaker, E.T. (Edinburgh) On inverse functions  
Williamson, J. (Johns Hopkins University, Baltimore) The linear complexes belonging to the invariant system of three quadrics  
Vaidyanathaswami, R. (The University, Madras, India) On mixed determinants  
Edinburgh  Gray, M.C. (Imperial College of Science and Technology, London) The equation of conduction of heat 
Prasad, G. (University of Allahabad) On the numerical solution of integral equations  
Turnbull, H.W. (St Andrews) Note on the configuration of the eight common points of three quadrics  
Saddler, W. (St Andrews) Note on Sylvester's theorem of elimination  
Edinburgh  Beatty, S. (Toronto) On the rearrangement of terms in a complex series, {Communicated by Bevan B Baker} 
Lord, F. (Imperial College of Science and Technology, South Kensington) Analytical expressions for Zeuner's and other valve diagrams, {Communicated by Ellice Martin Horsburgh}  
Nassau, J.J. (Warner and Swasey Observatory, Case School of Applied Science, Cleveland, Ohio) Some axisymmetric determinant with integers for elements, {Communicated by David Gibb}  
Copson, E.T. (Edinburgh) The conservation theorems of a damped dynamical system  
Glasgow  Metzler, W.H. (Syracuse University, New York) A generalisation and simple proof of Kronecker's theorem concerning the minors of a compound determinant, {Communicated by David Gibb} 
Baker, B.B. (Edinburgh) An extension of Heaviside's operational method of solving differential equations  
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Notes on Mathieu's differential equation  
St Andrews  Turnbull, H.W. (St Andrews) On the bearings of projective geometry on Weyl's relativity hypothesis 
Saddler, W. (St Andrews) Note on the geometry of two binary quadratics in the complex plane  
Saddler, W. (St Andrews) The geometrical interpretation of the complete system of two double binary (2, 1) forms  
Williamson, J. (Johns Hopkins University, Baltimore) The irreducible covariants belonging to the concomitant system of three quadrics  
Aitken, A.C. (Edinburgh) Series formulae for the roots of equations  
Vaidyanathaswami, R. (The University, Madras, India) The locus of lines meeting three regions  
Chappell, G.E. (County School, Bridgend, Glamorgan) The properties of a new orthogonal function associated with the confluent hypergeometric function  
192425  Back to the top

Edinburgh  Aitken, A.C. (Edinburgh) A series for symmetric functions of roots of equations 
Ayyangar, A.A.K. (Mysore, India) On the sexisectional equation, {Communicated by Alexander Craig Aitken}  
Tweedie, C. (Edinburgh) Notes on James Gray, {Communicated by Archibald Milne}  
Copson, E.T. (Edinburgh) On selfadjoint partial differential equations of the second order, (Part 1)  
Glasgow  MacRobert, T.M. (Glasgow) On the expression for the surface density of a sphere in terms of spherical harmonics 
Ferrar, W.L. (Edinburgh) On the Riemann Pequation with integral exponent differences  
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Elementary notes on coordinates, conics and conjugate points  
Edinburgh  Williamson, J. (Johns Hopkins University, Baltimore) and Turnbull, H.W. (St Andrews) On the general invariant theory of two quadratics in n variables 
Ferrar, W.L. (Edinburgh) On the cardinal function of interpolation  
Gray, M.C. (Imperial College of Science and Technology, London) Particular solutions of the equation of conduction of heat in one dimension, {Communicated by Edward Thomas Copson}  
Wilson, R. Power coordinates and the bicircular quartic, {Communicated by Herbert Westren Turnbull}  
Edinburgh  Turnbull, H.W. (St Andrews) On the geometrical connexion between lines in S_{3} and points of quadrics in S_{5} 
Aitken, A.C. (Edinburgh) On recurring decimals  
Turnbull, H.W. (St Andrews) Note on the orthocentric property of a triangle  
Glasgow  MacRobert, T.M. (Glasgow) The addition theorem for the Legendre functions of the second kind 
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Elementary notes on coordinates, conics and conjugate points  
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) On the development of the elementary functions from Vandermonde's theorem  
Copson, E.T. (Edinburgh) Note on Binet's inverse factorial series for μ(x)  
St Andrews  Macdonald, H.M. (Aberdeen) Note on a formula connected with Fourier series 
Steggall, J.E.A. (University College, Dundee) Coaxal quadrics  
Vaidyanathaswami, R. (The University, Madras, India) The group of the (2,2) form, {Communicated by Herbert Westren Turnbull}  
Saddler, W. (St Andrews) The geometrical interpretation of the concomitants of the double binary (2, 2) form  
Edinburgh  Aitken, A.C. (Edinburgh) The mathematical theory of graduation 
Turnbull, H.W. (St Andrews) Notes on the configuration of lines and points on a quadric surface  
Saddler, W. (St Andrews) Note on a binary quartic  
Muirhead, R.F. (Glasgow) Note on topics of regions separated by boundaries  
Whittaker, J.M. (Trinity College, Cambridge) The differentiation of an indefinite integral,  
Ferrar, W.L. (Edinburgh) On the relation between inverse factorial series and binomial coefficient series  
Kaucky, T. Note on the paper of Dr Bevan B Baker: An extension of Heaviside's operational method of solving differential equations  
192526  Back to the top

Edinburgh  Horsburgh, E.M. (Edinburgh) Charles Tweedie, M.A., B.Sc., F.R.S.E., (Obituary notice) 
Milne, A. (Provincial Training College, Edinburgh) William Lindsay, (Obituary notice)  
Turnbull, H.W. (St Andrews) On the condition that ten points should lie on a quadric surface  
Ferrar, W.L. (Oxford) The possible generalisation of Pascal's theorem to three dimensions, {Communicated by Herbert Westren Turnbull}  
Eastwood, G.S. (Beath Secondary School in Cowdenbeath) Note on calamoids  
Copson, E.T. (Edinburgh) On selfadjoint partial differential equations of the second order (Part 2)  
Glasgow  Comrie, P. (Leith Academy) James Archibald (Obituary Notice) 
Lawson, G. (Waid Academy, Anstruther) Discussion on tangency in elementary geometry  
Edinburgh  McKendrick, A.G. (College of Physicians Laboratory, Edinburgh) Applications of mathematics to medical problems 
Edinburgh  Saddler, W. (St Andrews) Apolar triads on a cubic curve 
Ghosh, J. Transverse vibrations of an elliptic plate  
Sommerville, D.M.Y. (St Andrews) Peaucellier's cell and other linkages in nonEuclidean geometry, {Communicated by William Saddler}  
Copson, E.T. (Edinburgh) Note on Whittaker's solution for Laplace's equation  
Ferrar, W.L. (Oxford) and Bell, R.J.T. (Glasgow) Mathematical Notes, {Communicated by Peter Ramsay}  
Glasgow  Walker, R. (Provincial Training College, Glasgow) William A Lindsay, M.A., B.Sc., (Obituary notice) 
Gibson, G.A. (Glasgow) Some criticisms of Robert Simson by Sir T L Heath  
Hyslop, J. (Glasgow) Geometrical illustrations of the matrix theory  
Edinburgh  Cancelled due to general strike. 
St Andrews  Turnbull, H.W. (St Andrews) The invariant theory of the quadratic complex 
Bateman, H. (California Institute of Technology) Local electromagnetic fields  
Ghosh, J. The Einsteinian gravitational field of a heterogeneous fluid sphere  
192627  Back to the top

Edinburgh  Hyslop, J. (Glasgow) A theorem on the integral of Stieltjes 
Baker, H.F. (Cambridge) Symbolic algebra and rational curves on quadrics, {Communicated by Herbert W Turnbull}  
Richmond, H.W. (King's College, Cambridge) Note on the line of striction  
Whittaker, J.M. (Edinburgh) An addition theorem for the Mathieu functions  
Glasgow  Whittaker, E.T. (Edinburgh) On the concept of frequency of light 
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Difference equations and asymptotic expansions  
Miller, A.H. Two models for teaching solid geometry in schools (with demonstrations)  
MacRobert, T.M. (Glasgow) On some Legendre function formulae  
Edinburgh  Turnbull, H.W. (St Andrews) Note on double binary perpetuants 
Aitken, A.C. (Edinburgh) On determinants of symmetric functions  
Whittaker, J.M. (Edinburgh) On the correlation of aggregates  
Whittaker, J.M. (Edinburgh) On the cardinal function of interpolation theory  
Copson, E.T. (Edinburgh) Note on the integral equations for the Lamé functions  
Turnbull, H.W. (St Andrews) Note on partial fractions and determinants  
McWhan, J. (Glasgow) On the maxima and minima of functions of two variables  
Edinburgh  Aitken, A.C. (Edinburgh) Permutations and allied topics 
Saddler, W. (St Andrews) Note on the trilinear correspondence  
Sheppard, W.F. (Edinburgh) Interpolation with least mean square of error  
Ghosh, J. A class of solutions of Einstein's gravitational equations  
Richmond, H.W. (King's College, Cambridge) On the meaning of an equation in dual coordinates  
Richmond, H.W. (King's College, Cambridge) On the uninodal quartic curve  
Edinburgh  Stewart, C.A. (Sheffield) The solution of Cauchy's problem for linear partial differential equations, with constant coefficients, by means of integrals involving complex variables 
Saddler, W. (St Andrews) Apolar triads on a cubic curve  
Vaidyanathaswami, R. (The University, Madras, India) A special pencil of binary quartics  
Turnbull, H.W. (St Andrews) Note on partial fractions and determinants  
Glasgow  Whittaker, E.T. (Edinburgh) Definitions, axioms and existencetheorems in Euclid 
St Andrews  Turnbull, H.W. (St Andrews) On differentiating a matrix 
Aitken, A.C. (Edinburgh) On the latent roots of matrices  
Saddler, W. (St Andrews) Apolar triads of a cubic curve  
Vaidyanathaswami, R. (The University, Madras, India) A special pencil of binary quartics  
Sen, R.N. (Edinburgh) Infinitesimal analysis of an arc in nspace  
192728  Back to the top

Edinburgh  Wolff, C.E. Note on numerical integration 
Ferrar, W.L. (Oxford) A critical study of generalised derivatives and integrals, {Communicated by Edward Thomas Copson}  
Weatherburn, C.E. (The University, Perth, West Australia) Some properties of a family of curves on a surface  
Mitra, S.C. (Dacca University, India) On the zeros of the confluent hypergeometric function  
Copson, E.T. (Edinburgh) On Hardy's theory of mfunctions  
Glasgow  Stokes, G.D.C. (Glasgow) Three mathematical notes 
Whittaker, J.M. (Edinburgh) Cardinal function interpolation  
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Three mathematical notes  
Edinburgh  Williamson, J. (Johns Hopkins University, Baltimore) Division algebras 
Edinburgh  Turnbull, H.W. (St Andrews) On matrix differentiation 
Saddler, W. (St Andrews) On the invariant algebra associated with lines  
Bell, E.T. (California Institute of Technology) A generalisaton of circulants  
Glasgow  Whittaker, J.M. (Edinburgh) On Whitehead's theory of relativity 
Muirhead, R.F. (Glasgow) On maxima and minima  
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Newton's laws of gravitation and relativity  
Edinburgh  Turnbull, H.W. (St Andrews) Great Geometers 
St Andrews  Aitken, A.C. (Edinburgh) Note on Numerical Integration 
Steggall, J.E.A. (University College, Dundee) On the factorization of 2^{32} + 1  
Williamson, J. (Johns Hopkins University, Baltimore) The complete system of the quadratic complex  
Turnbull, H.W. (St Andrews) On matrix equations  
Nassau, J.J. (Warner and Swasey Observatory, Case School of Applied Science, Cleveland, Ohio) A theorem on bordering symmetrical determinants whose elements are of the form araaas  
192829  Back to the top

Edinburgh  Whittaker, E.T. (Edinburgh) Recurrence formulae in the theory of the equations of mathematical physics 
Aitken, A.C. (Edinburgh) The numerical solution of algebraic equations  
Glasgow  Robb, R.A. (Glasgow) Lecture on the mathematics of business statistics 
Edinburgh  Turnbull, H.W. (St Andrews) Matrices whose elements are matrices 
Aitken, A.C. (Edinburgh) The reduction of a matrix to its normal form  
Ayyangar, A.A.K. (Mysore, India) A linear combination prime to a given integer  
Edinburgh  Saddler, W. (St Andrews) On some algebraical points connected with the fournodal cubic surface 
Whittaker, J.M. (Edinburgh) On the Stieltjes integral  
Glasgow  MacRobert, T.M. (Glasgow) On an integral due to Ramanujan, and some ideas suggested by it 
Hyslop, J. (Glasgow) On the Hellinger integral  
Walsh, C.E. A note on double limits  
Walsh, C.E. An application of Abel's lemma to double series  
Edinburgh  Aitken, A.C. (Edinburgh) A general formula of polynomial interpolation 
Sen, R.N. (Edinburgh) On rotations on ndimensional space  
Ruse, H.S. (Edinburgh) Notes on the tensor calculus  
Hyslop, J. (Glasgow) Note on the remainder theorem  
St Andrews  Gupta, P.N.D. (St Andrews) and Turnbull, H.W. (St Andrews) Systems of linear complexes associated with a quadric surface 
Hyslop, J. (Glasgow) On Young's condition for the Stieltjes integral  
Turnbull, H.W. (St Andrews) The invariant theory of bilinear forms and a problem of enumeration arising therefrom  
Whittaker, J.M. (Edinburgh) On the Poisson sum of a Fourier series  
192930  Back to the top

Edinburgh  Lidstone, G.J. (Scottish Widows' Fund in Edinburgh) On the extention of Aitken's theorem (on polynomial interpolation) to the Everett Types, {Communicated by A C Aitken} 
Turnbull, H.W. (St Andrews) A matrix form of Taylor's theorem  
Sen, R.N. (Edinburgh) Spherical simplexes in ndimensions  
Glasgow  MacRobert, T.M. (Glasgow) A formula for the product of two hypergeometric functions 
Aitken, A.C. (Edinburgh) On Charlier's new form of the frequency function  
Stokes, G.D.C. (Glasgow) Note on Hero's formula  
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) An extension of Clifford's chain of circles  
Edinburgh  Birkhoff, G.D. (Harvard) On the number of ways of colouring a map, {Communicated by H W Turnbull} 
Baker, H.F. (Cambridge) A geometrical theorem and the resultant of two binary forms  
Turnbull, H.W. (St Andrews) Note on the resultant of two binary forms  
Ferrar, W.L. (Oxford) On generating functions, {Communicated by E T Copson}  
Edinburgh  Richmond, H.W. (King's College, Cambridge) On rational solutions of x^{3} = y^{3} = z^{3} = R, {Communicated by G Timms} 
Mursi, M. (Cairo) On the uniformization of algebraic curves of genus 3  
Semple, J.G. (Edinburgh) Grassmann manifolds and their representations  
Copson, E.T. (Edinburgh) A generalization of a theorem of Mercer  
Glasgow  MacRobert, T.M. (Glasgow) On some relations between the Bessel and Legendre functions 
Dougall, J. (Glasgow and West of Scotland Technical College, Glasgow) Transmission of stress in a conical rod  
Muir, T. (Glasgow High School) Alternative forms of expression for Hermite's determinant  
Edinburgh  Semple, J.G. (Edinburgh) Intersections of quadrics 
Prasad, B.N. (Edinburgh) The absolute summability (A) of Fourier series  
Whittaker, J.M. (Edinburgh) On the 'flat' region of integral functions of finite order, {Communicated by E T Copson}  
Dundee  Steggall, J.E.A. (University College, Dundee) On the limiting forms of certain rational curves 
Turnbull, H.W. (St Andrews) Canonical matrices  
Ruse, H.S. (Edinburgh) On the 'Elementary' solution of a Laplace's equation  
Sutherland, J.W. (Cambridge) Equiangular spirals associated with a nest of isosceles triangles, {Communicated by G Timms}  
193031  Back to the top

Edinburgh  Horsburgh, E.M. (Edinburgh) Early instruments in navigation and surveying 
Wilson, R. Quadratic equations in a cyclic number system  
McCrea, W.H. (Edinburgh) A 'cubical' universe  
McVittie, G.C. (Cambridge) Solution with axial symmetry of Einstein's equations of teleparallelism  
Sen, R.N. (Edinburgh) On the connexion between LeviCivita's parallelism and Einstein's parallelism  
Glasgow  Oppenheim, A. (Edinburgh) A problem of Ramanujan 
McCrea, W.H. (Edinburgh) Mass condensations and the size of the universe  
Turnbull, H.W. (St Andrews) An elementary note on the determinant of symmetric functions, {Communicated by E T Copson}  
Aitken, A.C. (Edinburgh) The remainder theorem  
Ruse, H.S. (Edinburgh) Generalised solutions of Laplace's equation  
Blakey, J. (Sunderland Technical College) The Milne quadrics of the trinodal cubic surface, and the contact conics of the harmonic envelope of the plain trinodal quartic  
Edinburgh  Turnbull, H.W. (St Andrews) Determinants and Latin squares 
Whittaker, E.T. (Edinburgh) On the solution of differential equations by definite integrals  
Kermack, W.O. (Royal College of Physicians Laboratory, Edinburgh) and McCrea, W.H. (Edinburgh) On Whittaker's method of solution of differential equations by definite integrals, Part I  
Williamson, J. (Johns Hopkins University, Baltimore) Bazin's matrix and other allied matrices  
Aitken, A.C. (Edinburgh) Note on dual symmetric functions  
Edinburgh  Oppenheim, A. (Edinburgh) A class of arithmetical identities 
McCrea, W.H. (Edinburgh) On the sections of a sicyoid  
Ruse, H.S. (Edinburgh) On the partial differential equations of mathematical physics  
Turnbull, H.W. (St Andrews) Matrix differentiation of the characteristic function  
Glasgow  MacRobert, T.M. (Glasgow) Notes on Fourier Integrals 
Robb, R.A. (Glasgow) Note on Charlier's Type A curve  
Hyslop, J. (Glasgow) Notes on the Stieltjes integral  
Rutter, D. (Leeds University) The polar properties of the trinodal quartic curve  
Edinburgh  Etherington, I.M.H. (Edinburgh) On errors in determinants 
McCrea, W.H. (Edinburgh) Operational proofs of some identities  
Kermack, W.O. (Royal College of Physicians Laboratory, Edinburgh) and McCrea, W.H. (Edinburgh) On Whittaker's method of solution of differential equations by definite integrals, Part II  
St Andrews  Turnbull, H.W. (St Andrews) The solution of matrix equations 
Aitken, A.C. (Edinburgh) The mechanical solution of linear equations  
Whittaker, J.M. (Edinburgh) The composition of linear differential systems  
193132  Back to the top

Edinburgh  Copson, E.T. (Edinburgh) Recent advances on the theory of functions 
Carslaw, H.S. (Sydney, Australia) On Cramer's theorem concerning the Gibbs' phenomenon  
Carslaw, H.S. (Sydney, Australia) and Lyons, R.S. A trigonometrical sum  
Mitra, S.C. (Dacca University, India) On the properties of a certain polynomial analogous to Lommel's polynomial  
Parsons, J.D. (Trinity College, Dublin) Solutions with axial symmetry of Einstein's equations of teleparallelism  
Rutter, D. (Leeds University) The polar properties of the plane trinodal quartic curve  
Wilson, R. A note on resultants of equations in a cyclic number system  
Edinburgh  McCrea, W.H. (Edinburgh) James Clerk Maxwell and Peter Guthrie Tait 
Tait, J.G. Extracts from letters and other documents which passed between Maxwell and Tait  
Walker, A.G. (Merton College) On small deformation of subspaces of a flat space  
Sheppard, W.F. (Edinburgh) Interpolation given by means of differences (Central difference notation)  
Richmond, H.W. (King's College, Cambridge) The tritangent circles of a circular quartic curve  
Edinburgh  Whittaker, E.T. (Edinburgh) Careers open to Honours Graduates in Mathematics 
Humbert, P. (Faculty of Science, Montpellier) On Appel's function P (theta, phi)  
Edinburgh  Thomson, R.W.M. An apparatus for determining coefficients in power series, {Communicated by William Peddie and read by H S Ruse} 
Gillespie, R.P. (Glasgow) On functions of integrals  
Ince, E.L. (Liverpool) A partial differential system  
Turnbull, H.W. (St Andrews) Generalised continued fractions  
Sommerville, D.M.Y. (St Andrews) Metrical coordinates in nonEuclidean geometry  
Aitken, A.C. (Edinburgh) On interpolation by iteration of proportional parts, without the use of differences  
St Andrews  Aitken, A.C. (Edinburgh) Mathematical Statistics 
Edinburgh  Black, T.P. (Trinity Academy, Edinburgh) Mr H G Forder's recent works on geometry, in relation to school mathematics 
MursiAhmed, M. (Cairo) On the composition of simultaneous differential systems of the first order  
McCoy, N.H. (Smith College, Northampton, Massachusetts) Certain expansions in the algebra of quantum mechanics  
Fekete, M. (Hebrew University of Jerusalem) On the absolute summability (A) of infinite series  
Campbell, J.T. (Edinburgh) Factorial moments and frequencies of Charlier's Type B  
St Andrews  Turnbull, H.W. (St Andrews) An algebraical principle of hereditary reduction 
Walker, A.G. (Merton College) Generalised moving axes  
Rutherford, D.E. (St Andrews) On the canonical form of a rational integral function of a matrix  
Daniels, H.E. (Edinburgh) A theorem on the complete integral  
Walsh, C.E. A note on sequences determined by recurrence relations  
Winn, C.E. On absolute summability for any positive order  
Phillips, E.G. Selfreciprocal functions in the form of series  
193233  Back to the top 
Edinburgh  Horsburgh, E.M. (Edinburgh) Sir John Leslie, mathematician and natural philosopher 
Dundee  Timms, G. (St Andrews) The perambulator in projective geometry 
Edinburgh  Thomson, G.H. (Edinburgh) Mathematical ability and mathematical teaching 
Edinburgh  Gillespie, R.P. (Glasgow) The calculus of variations 
Edinburgh  Turnbull, H.W. (St Andrews) James Gregory: an account of his unpublished contributions to algebra and analysis 
St Andrews  Gillespie, R.P. (Glasgow) Integral inequalities; 
Whittaker, E.T. (Edinburgh) Notes on wave mechanics  
193334  Back to the top 
Edinburgh  Dougall, J. (Glasgow) Circles ancient and modern 
Edinburgh  Turnbull, H.W. (St Andrews) and Aitken, A.C. (Edinburgh) On pencils of hermitian forms; 
Aitken, A.C. (Edinburgh) On fitting polynomials to correlated data  
Edinburgh  Edge, W.L. (Edinburgh) Some elementary properties of twisted curves 
Edinburgh  Turnbull, H.W. (St Andrews) On quadric surfaces circumscribing a hexagon; 
Etherington, I.M.H. (Edinburgh) A method of multiplication;  
Aitken, A.C. (Edinburgh) On solving simultaneous equations  
Dundee  Rutherford, D.E. (St Andrews) Modular invariants 
Edinburgh  Lawson, G. (Rector, Waid Academy, Anstruther) Some teaching problems: arithmetic and elementary algebra 
St Andrews  Edge, W.L. (Edinburgh) A canonical form for three quinary quadratics; 
McVittie, G.C. (Edinburgh) The synchronising of clocks in general relativity  
193435  Back to the top 
Edinburgh  Turnbull, H.W. (St Andrews) Recent developments in Higher Algebra 
Edinburgh  Ruse, H.S. (Edinburgh) The twentyone coordinates of a conic; 
Aitken, A.C. (Edinburgh) Notes on least squares  
Edinburgh  Thompson, D'A.W. (St Andrews) Some polygons and polyhedra 
Dundee  Wilson, B.M. (Dundee) Some notes on divergent series 
Edinburgh  Turnbull, H.W. (St Andrews) On the exponential limit and Euler's gamma; 
Marzials, F.M. On the teaching of simple mathematical astronomy in schools;  
Etherington, I.M.H. (Edinburgh) The use of nonassociative algebra in genetics;  
Aitken, A.C. (Edinburgh) A useful expansion in determinants  
Aberdeen  Macdonald, H.M. (Aberdeen) A history of dynamical methods 
St Andrews  Richmond, H.W. (King's College, Cambridge) On the tritangent planes of a quadriccubic space curve; {communicated by Bath, F.} 
Ledermann, W. (St Andrews) Note on permanants  
193536  Back to the top 
Edinburgh  Street, R.O. (Royal Technical College, Glasgow) Earthquake waves 
Edinburgh  Edge, W.L. (Edinburgh) A problem of reciprocation; 
Aitken, A.C. (Edinburgh) The evaluation of latent roots and latent vectors  
Edinburgh  Darwin, C.G. (Edinburgh) Uncertainty 
Dundee  Timms, G. (St Andrews) The higher the fewer  some higher geometry in an elementary manner 
Edinburgh  Turnbull, H.W. (St Andrews) Bideterminants; 
Etherington, I.M.H. (Edinburgh) Determinants of fractional order;  
Aitken, A.C. (Edinburgh) A further note on multivariate selection  
Edinburgh  Whittaker, E.T. (Edinburgh) Light waves and the Fourier theory 
St Andrews  Ledermann, W. (St Andrews) On the upper limit of the latent roots of a certain class of matrices 
193637  Back to the top 
Edinburgh  Ruse, H.S. (Edinburgh) Modern differential geometry 
Edinburgh  Turnbull, H.W. (St Andrews) The invariant system of a quaternary quadratic; 
Smith, R.A. (St Andrews) The disintegration of atomic nuclei  
Edinburgh  Taylor, W. School mathematics 
Edinburgh  Edge, W.L. (Edinburgh) Three quadric surfaces 
Edinburgh  Turnbull, H.W. (St Andrews) Deformable quadrics and their circular sections; 
McKendrick, A.G. (College of Physicians, Edinburgh) Some properties of points on a single twisted Möbius surface;  
Turnbull, H.W. (St Andrews) Note on the history of the fundamental theorem of the integral calculus  
Aberdeen  Wright, E.M. (Aberdeen) The solution of Waring's problem 
St Andrews  Aitken, A.C. (Edinburgh) The arithmometer in some problems of practical mathematics 
193738  Back to the top 
Edinburgh  Street, R.O. (Royal Technical College, Glasgow) Tidal theory, classical and modern 
Edinburgh  Hyslop, J.M. (Glasgow) On the approach of a series to its Cesaro limit; 
McCrea, W.H. (read by Etherington, I.M.H.) The geometrical foundations of certain relativity theories;  
Richmond, H.W. (King's College, Cambridge) On extensions of Pascal's Theorem, Part 2  
Edinburgh  Bath, F. (Edinburgh) Serret's syzygies and their applications 
Edinburgh  Mackie, J. (Rector, Leith Academy) School mathematics  a discussion 
Edinburgh  Macintyre, A.J. (Aberdeen) Overconvergence and gap theorems 
Edinburgh  Strachan, C. (Aberdeen) The theory of metals 
St Andrews  Thompson, D'A.W. (St Andrews) A semiregular solid with triangular and pentagonal faces; 
Turnbull, H.W. (St Andrews) The original proof that log 2 = 1  ^{1}/_{2} + ^{1}/_{3}  ^{1}/_{4} + ... ;  
Etherington, I.M.H. (Edinburgh) Respiration mathematics;  
Bath, F. (Edinburgh) Wallace's Theorem  
193839  Back to the top 
Edinburgh  Lawson, G. (retired Rector of Waid Academy, Anstruther, Fife) Robots in first year algebra 
Edinburgh  Aitken, A.C. (Edinburgh) Reciprocals of some persymmetric matrices; 
Ledermann, W. (St Andrews) A variation of Wilson's theorem;  
Whittaker, E.T. (Edinburgh) The connection of classical contacttransformations with noncommuting quantities  
Edinburgh  Timms, G. (St Andrews) Elementary lecture on some topics in Higher Geometry 
Edinburgh  Greaves, W.M.H. (AstronomerRoyal for Scotland) The escape of radiation from stars 
Edinburgh  Thomson, G.H. (Edinburgh) Mathematical problems in the analysis of human ability 
Edinburgh  Turnbull, H.W. (St Andrews) On the latent roots of a matrix [ (i + j  1)^{1}]; 
Hyslop, J.M. Some sufficient conditions for the absolute Cesaro summability of series;  
Marshall, J.B. (Edinburgh) On the extension of Fermat's Theorem to matrices  
St Andrews  Faulkner, T.E. (University College, Dundee) Problems connected with the theory of surfaces 
193940  Back to the top 
Edinburgh  Carroll, J.A. (Aberdeen) The foundations of natural philosophy 
Edinburgh  Finlay Freundlich, E. (St Andrews) The 2body problem in modern astronomy 
Edinburgh  Inverarity, W.M. (Schoolmaster, Clarkston) 
Turnbull, H.W. (St Andrews) and Lang, A. (H.M. Senior Inspector of Schools) School mathematics for the prospective honours graduate  
Edinburgh  Ince, E.L. (Edinburgh) Lamé functions 
St Andrews  Turnbull, H.W. (St Andrews) On the geometrical treatment of elementary divisors; 
Aitken, A.C. (Edinburgh) Estimation of statistical parameters by minimum variance  
194041  Back to the top 
Edinburgh  Smart, W.M. (Regius Professor of Astronomy, Glasgow) Stellar systems 
Edinburgh  Brown, L.M. (Edinburgh) A description of elementary topology 
Edinburgh  Schlapp, R. (Edinburgh) Turbulence 
Edinburgh  Napier, M.M. (James Gillespie's High School for Girls) and Erdélyi, A. (Edinburgh) School mathematics in the U.S.A. and Europe 
Edinburgh  Graham, T.S. (Glasgow) Continuous groups and differential geometry 
Edinburgh  Erdélyi, A. (Edinburgh) Integral equations for Lamé functions; 
Schlapp, R. (Edinburgh) A note on small vibrations  
St Andrews  Copson, E.T. (Dundee) Some problems in the theory of partial differential equations of physics 
194142  Back to the top 
Edinburgh  Rutherford, D.E. (St Andrews) Substitutional analysis  an account of the lifework of the late Alfred Young 
Edinburgh  Cossar, J. (Edinburgh) The summability of Fourier's integral; 
Turnbull, H.W. (St Andrews) The invariant theory of canonical matrices  
Edinburgh  Edge, W.L. (Edinburgh) Quartic polynomials 
Edinburgh  Buchan, A.F. (Moray House Training College), Mackie, J. (Rector, Leith Academy), and Reith, G. (Saughton Junior Secondary School) Has mathematics as it is or could be taught in schools, any cultural or educational value for the average pupil? 
Edinburgh  Eggleton, P. On the theory of thermostat control; 
Aitken, A.C. (Edinburgh) Note on bialternants  
Edinburgh  Erdélyi, A. (Edinburgh) Doubly orthogonal systems 
St Andrews  Turnbull, H.W. (St Andrews) Report on recent progress in the theory of forms 
194243  Back to the top 
Edinburgh  Born, M. (Edinburgh) Stability and thermodynamics of crystal lattices 
Edinburgh  Turnbull, H.W. (St Andrews) The mathematical discoveries of Newton 
Edinburgh  Born, M. (Edinburgh), Rutherford, D.E. (St Andrews) and Ledermann, W. (St Andrews) The distribution of the latent roots of certain matrices associated with problems of crystal bodies 
Edinburgh  Scott, W. The Junior Secondary School and its place in the Educational System 
Edinburgh  Offord, A.C. (King's College, NewcastleuponTyne) An inequality for sums of independent random variables; 
Walls, N. On Morley's adjustable cycloids  
Edinburgh  Coulson, C.A. (Queen's College, Dundee) Mathematics of some radiative problems in biology 
St Andrews  Whittaker, E.T. (Edinburgh), Turnbull, H.W. (St Andrews) and Aitken, A.C. (Edinburgh) A hundred years of noncommutative algebra 
194344  Back to the top 
HeriotWatt College  Schlapp, R. (Edinburgh) Eight mathematical films 
Edinburgh  Ledermann, W. (St Andrews) A note on alternate numbers; 
Edge, W.L. (Edinburgh) Another talk on quartic polynomials  
Edinburgh  Steele, A.D. (Edinburgh) Some beginnings of algebraic structure in Greek mathematics 
Edinburgh  Mackie, J. (Principal Teacher of Mathematics, Leith Academy) The teaching of advanced mathematics in schools 
Edinburgh  Rushbrooke, G.S. On the momentum distribution associated with a Morse potential field; 
Etherington, I.M.H. (Edinburgh) Transposed algebras  
Edinburgh  Aitken, A.C. (Edinburgh) The symmetric group and invariant theory 
St Andrews  Copson, E.T. (Dundee) Unsolved problems in the theory of waves 
194445  Back to the top 
Edinburgh  Schlapp, R. (Edinburgh) Some early mathematical works in Edinburgh University library 
Edinburgh  Cossar, J. (Edinburgh) The introduction of the circular functions into analysis; 
Turnbull, H.W. (St Andrews) The GordanCapelli theorem  
Edinburgh  Kermack, W.O. (Royal College of Physicians of Edinburgh) Randomness in theory and in practice 
Dundee  Bath, F. (Edinburgh) The teaching of geometry in schools 
Edinburgh  Paton, J. The use of the temperatureentropy diagram in meteorological practice 
Edinburgh  Rogosinski, W.W. (Aberdeen) Measure and integral 
St Andrews  Ledermann, W. (St Andrews) A note on vector potentials; 
Read, S. A transition of soap film from two circular discs into a catenoid;  
Etherington, I.M.H. (Edinburgh) Nonassociative arithmetics  
194546  Back to the top 
Edinburgh  Edge, W.L. (Edinburgh) Sylvester's synthematic totals and Maschke's quartic forms 
Edinburgh  Aitken, A.C. (Edinburgh) Some remarks on iteration; 
Turnbull, H.W. (St Andrews) A note on biforms  
Edinburgh  Buchan, A.F. and Elder, T. School examination questions in mathematics 
Edinburgh  Erdélyi, A. (Edinburgh) Symbolic representation of the Laplace transformation; 
McIntyre, x^{xx}  
Edinburgh  Richardson, E.G. (King's College, NewcastleuponTyne) The classical and real fluids 
Edinburgh  Steele, A.D. (Edinburgh) Mathematics  What it is, and what it is for; 
Whittaker, E.T. (Edinburgh) The logistical school of Bertrand Russell  
St Andrews  Wright, E.M. (Aberdeen) Differencedifferential equations 
194647  Back to the top 
Edinburgh  Mackie, J. (Principal Teacher of Mathematics, Leith Academy) Augustus De Morgan 
Edinburgh  Schlapp, R. (Edinburgh) The life of Colin Maclaurin 
Edinburgh  Brown, L.M. (Edinburgh) Plane involutions 
Edinburgh  Aitken, A.C. (Edinburgh) Some remarks on matrix differentiation; 
Erdélyi, A. (Edinburgh) Discontinuous wave functions  
Edinburgh  Copson, E.T. (Dundee) Latent roots and eigenfunctions 
Edinburgh  Ruse, H.S. (Leeds) Spaces of recurrent curvature 
St Andrews  Lord, R.D. (Royal College of Science, Glasgow) The addition of random vectors; 
Turnbull, H.W. (St Andrews) Symmetric determinants and Cayley and Capelli operators  
194748  Back to the top 
Edinburgh  Gillespie, R.P. (Glasgow) Lagrange multipliers 
Edinburgh  Whittaker, J.M. (Liverpool) The representation of functions by series 
Edinburgh  Bonsall, F.F. (Edinburgh) Linear independence of functions 
Edinburgh  Reith, G. (Depute Director of Education, Edinburgh) Statistics as an aid to the examiner 
Edinburgh  Aitken, A.C. (Edinburgh) Symposium on probability 
Edinburgh  Greaves, W.M.H. (AstronomerRoyal for Scotland) The structure of globular clusters 
St Andrews  Jackson, J.M. (University College, Dundee) An approximate method of evaluating certain types of surface integral; 
Goddard, L.S. (Aberdeen) Selftransformations of algebraic surfaces  
194849  Back to the top 
Edinburgh  Etherington, I.M.H. (Edinburgh) Recent progress in nonassociative algebras 
Edinburgh  Zassenhaus, H.J. (Hamburg and Glasgow) Onesided distributive algebras 
Edinburgh  Edge, W.L. (Edinburgh) Undulations on plane quartic curves 
Edinburgh  Thomson, G.H. The logic of factorial analysis 
Edinburgh  Whittaker, E.T. (Edinburgh) The life and work of Laplace 
Dundee  Wallace, A.H. (University College, Dundee) Invariant matrices and the GordanCapelli series; 
Bowen, N.A. PhragmenLindelöf and Tauberian theorems  
St Andrews  Turnbull, H.W. (St Andrews) A note on the confluent regular group matrix; 
Vermes, P. (Birkbeck College, London) Series to series transformations and analytic continuation by matrix methods  
194950  Back to the top 
Edinburgh  Marshall, J.B. (Edinburgh) Powers of Gauss sums 
Edinburgh  Goddard, L.S. (Aberdeen) The base for curves upon an algebraic surface 
Edinburgh  McLachlan, N.W. The application of Mathieu's equation to nonlinear stability problems, 
Aitken, A.C. (Edinburgh) Some polynomial reciprocities  
Edinburgh  Turnbull, H.W. (St Andrews) Newton and his Scottish disciples 
Edinburgh  McHarg, E. (Glasgow) Generalisations of van der Pol's equation; 
Palmer, D.G. The problem of generalising the Jordan curve theorem  
Edinburgh  Sneddon, I.N. (Glasgow) The propagation of waves in solids 
St Andrews  Hirsch, K.A. (King's College, Newcastle) An arithmetic property of finite groups; 
Mackay, J.P.H. (St Andrews) A note on group representation  
195051  Back to the top 
Edinburgh  Brown, L.M. (Edinburgh) Configurations of associated spaces 
Edinburgh  Copson, E.T. (St Andrews) The relations between Maxwell's equations and geometrical optics 
Edinburgh  Edge, W.L. (Edinburgh) Humbert's plane sextics of genus 5 
Edinburgh  Robson, A. (Marlborough College) Reforms that have taken place during the last halfcentury in the teaching of geometry in schools 
Edinburgh  Lawley, D.N. (Moray House, Edinburgh) Mathematical problems connected with the construction of intelligence tests 
Edinburgh  Burchnall, J.L. (Durham) Some properties of Legendre polynomials 
St Andrews  Pack, D.C. (Dundee) A problem in incompressible flow; 
Etherington, I.M.H. (Edinburgh) Note on quasigroups associated with a cubic curve  
195152  Back to the top 
Edinburgh  Turnbull, H.W. (St Andrews) What is zero? A sidelight on the NewtonLeibniz controversy 
Edinburgh  Schlapp, R. (Edinburgh) Some phenomena of oscillatory motion 
Edinburgh  Melvin, H.M. (London) A generalisation of Holder's inequality; 
Goddard, L.S. The surfaces containing a given rational curve  
Edinburgh  Walker, D.A. The scaling of teachers' estimates 
Edinburgh  Macintyre, A.J. (Aberdeen) Integral functions with gap power series 
Edinburgh  Finlay Freundlich, E. (St Andrews) The relativistic deflection of light in the gravitational field of the sun 
St Andrews  Patterson, E.M. (Aberdeen) Complex analytic manifolds 
195253  Back to the top 
Edinburgh  Aitken, A.C. (Edinburgh) Positive linear transformations and Markov chains 
Edinburgh  Rutherford, D.E. (St Andrews) The numerical solution of differential equations 
Edinburgh  Popova, H. (Aberdeen) Quasigroups whose logarithmetics are groups; 
Jackson, J.M. (University College, Dundee) A physical application of Hankel's inversion theorem  
Edinburgh  Brown, L.M. (Edinburgh) What is a circle? 
Edinburgh  Lighthill, M.J. (Manchester) Sound generated aerodynamically 
Edinburgh  Wolf, E. (Edinburgh) The circle polynomials of Zernike 
St Andrews  Ledermann, W. (Manchester) The birth and death process in an unlimited population 
195354  Back to the top 
Edinburgh  Graham, T.S. (Glasgow) Power associative algebras 
Edinburgh  Macbeath, M. (Dundee) Averaging methods in the geometry of numbers 
Edinburgh  Nisbet, A. (Edinburgh) Linearly polarised timeharmonic electromagnetic waves of arbitrary form; 
Patterson, E.M. (Aberdeen) Lie algebras of dimension three  
Edinburgh  Donaldson, W.J. The teaching of calculus in schools 
Edinburgh  Gunn, J.C. (Glasgow) Group theory in nuclear physics 
Edinburgh  Borwein, D. (St Andrews) On the abscissae of the summability of a Dirichlet series; 
Robertson Unconditional convergence  
St Andrews  Hunter, J. (Glasgow) Minimum discriminants of algebraic number fields 
195455  Back to the top 
Edinburgh  Potter, H.S.A. (Aberdeen) Some applications of lattice theory 
Edinburgh  Vosper, A.G. (Dundee) The measure of sumsets of padic numbers 
Edinburgh  Scott, T. (HeriotWatt College, Edinburgh) Notes on a pentahedral net of quadrics; 
Robertson, W. On linear topological spaces  
Edinburgh  Schlapp, R. (Edinburgh) Teaching of elementary dynamics; Sowery, Teaching of elementary dynamics; 
Smith (Inspector of Schools) Teaching of elementary dynamics  
Edinburgh  Kemmer, N. (Edinburgh) The success of bad mathematics in modern physics 
Aberdeen  Wright, E.M. (Aberdeen) The roots of a certain transcendental equation 
St Andrews  Rankin, R.A. (Glasgow) Hyperbolic geometry of numbers 
195556  Back to the top 
Edinburgh  Copson, E.T. (St Andrews) The waveequation  second thoughts on an old topic 
Edinburgh  Scott, D.B. (King's College, London) Infinitely near points 
Edinburgh  Collingwood, E.F. (Durham) Some boundary properties of analytic functions 
Edinburgh  Graham, T.S. (Glasgow) From school to university mathematics; 
Brown, L.M. (Edinburgh) From school to university mathematics  
Edinburgh  Heisenberg, W.K. (Göttingen) The present position in the theory of elementary particles 
Edinburgh  Gilles, D.C. (Glasgow) Some elements of the development of automatic computing 
St Andrews  Britton, J.L. (Glasgow) An unsolved problem in the theory of ordered groups; 
Noble, B. (Royal College of Science and Technology, Glasgow) An alternative to relaxation methods  
195657  Back to the top 
Edinburgh  Smart, R. (HeriotWatt College, Edinburgh) Oliver Heaviside 
Edinburgh  Neumann, B.H. (Manchester) Plane polygons 
Edinburgh  Bonsall, F. (Newcastle) Banach spaces  a survey lecture 
Edinburgh  Maxwell, E.A. (Queen's College, Cambridge) Facts and fancies 
Edinburgh  Green, A.E. (NewcastleuponTyne) Large elastic deformations  a survey 
Glasgow  Kendall, D.G. (Magdalen College, Oxford) Ergodic theorems for Markov processes 
Edinburgh  Temple, G. (Oxford) Whittaker's work on the integral representation of special functions 
St Andrews  Edge, W.L. (Edinburgh) Baker's property of the Weddle surface 
195758  Back to the top 
Edinburgh  Lord, R.D. (Royal College of Science, Glasgow) Hankel transforms and some boundaryvalue problems 
Edinburgh  Davenport, H. (University College, London) The applications of analysis to the theory of numbers 
Edinburgh  Finney, D.J. (Aberdeen) A mathematical problem of genetic equilibrium 
Edinburgh  Vesselo, I.R. (Cheshire Training College) Mathematical films 
Edinburgh  Meltzer, B. (Edinburgh) The mathematics of electron flow 
Glasgow  Northcott, D.G. (Sheffield) The modern theory of syzygies 
St Andrews  Rutherford Aris (Edinburgh) Some remarks on diffusion problems; 
NashWilliams, C.St.J.A. (Aberdeen) Random walk in infinite networks  
195859  Back to the top 
Edinburgh  Rankin, R.A. (Glasgow) Interval functions and their applications 
Edinburgh  Noble, B. (Royal College of Science, Glasgow) Diffraction by strips and discs 
Edinburgh  Payne, L.E. ((Maryland) Isoperimetric inequalities and approximation methods 
Edinburgh  Broadbent, T.A.A. (Royal Naval College, Greenwich) Biped mathematics 
Edinburgh  Walker, A.G. (Liverpool) Harmonic spaces 
Glasgow  Bartlett, M.S. (Manchester) The mathematical theory of epidemics 
St Andrews  Dixon, C. (Dundee) Convection of fluids 
195960  Back to the top 
Edinburgh  Jackson, J.M. (University College, Dundee) Fourier transforms and the equations of motion of a continuous medium 
Edinburgh  Aitken, A.C. (Edinburgh) James Stirling 
Edinburgh  Mackie, A.G. (St Andrews) Some aspects of free streamline problems in fluid dynamics; 
McLeod, J.B. (Edinburgh) Four inequalities in Symmetric functions  
Edinburgh  Taylor, P.L. (Metropolitan Vickers, Manchester) Mathematics in industry 
Edinburgh  Brück, H.A. (Astronomer Royal for Scotland) Problems of galactic structure 
Glasgow  Duffin, R.J. (Carnegie Technological Institute, Pittsburg) Networks, difference equations and continua 
St Andrews  Flett, T.M. (Liverpool) The summability of a power series on its circle of convergence 
196061  Back to the top 
Edinburgh  Sneddon, I.N. (Glasgow) Mixed boundary problems 
Edinburgh  Reuter, G.E.H. (Durham) Sample functions of Markov processes 
Edinburgh  Munn, W.D. (Glasgow) Some results on inverse semigroups; 
Pearce, R.P. Vorticity in the atmosphere  
Edinburgh  Smith, J.H. (H.M. Inspectorate of Schools) Senior Secondary School Mathematics 
Edinburgh  Colombo, S. (Paris) Solutions of Volterra's Equations with logarithmic kernels 
Glasgow  Heilbronn, H. (Bristol) Averaging arithmetical values of two variables 
St Andrews  Stone, D. (Manchester) Some aspects of measure theory 
196162  Back to the top 
Edinburgh  Martin, D. (Glasgow) Some topics in differential geometry in the large 
Edinburgh  White, A.J. (Aberdeen) Spherical summation of multiple Fourier series; 
Smyrl, J.L. (Royal College of Science, Glasgow) The impact of a shockwave on a thin wedge moving at supersonic speed  
Edinburgh  Hayman, W.K. (Imperial College, London) Circles, spheres and condensers 
Edinburgh  Land, F.W. (Hull) A background for mathematics teaching 
Edinburgh  Goodstein, R.L. (Leicester) Formalisations of recursive arithmetic 
Dundee  Macbeath, M. (Dundee) Noneuclidean geometry 
Glasgow  Weston, J.D. (NewcastleonTyne) A theory of operational calculus 
St Andrews  Jones, D.S. (Keele) Some boundary value problems in the theory of diffraction 
196263  Back to the top 
Edinburgh  Read, S. Some thoughts on closing the gap between school and university mathematics 
Edinburgh  Halberstam, H. (Dublin) Perfect difference sets 
Edinburgh  Swierkowski, S. (Glasgow) Some problems involving translations, rotations and reflections; 
Lambert, J.D. (St Andrews) Finite difference techniques of increased accuracy  
Edinburgh  Quadling, D.A. (Marlborough) Current developments in school mathematics 
Edinburgh  Giles, R. (Glasgow) Modern mathematics and the foundations of physics 
Glasgow  Monk, D. (Edinburgh) Unexceptional models in algebraic geometry: a survey of recent results 
St Andrews  Ursell, F. (Manchester) Shortwave asymptotics  a class of singular perturbation problems 
196364  Back to the top 
Edinburgh  Pack, D.C. (Dundee) Mathematicians at Anderson's University 
Edinburgh  Cox, D.R. (Birbeck, London) Some industrial applications of the theory of probability 
Edinburgh  Howie, J.M. (Glasgow) Congruences on inverse semigroups; 
Squires, E.J. Elementary particles and asymptotic limits of scattering amplitudes  
Edinburgh  Donald, D. The teaching of sets in schools; 
Blackburn, W.T. The teaching of groups in schools;  
More, W. The teaching of vectors in schools  
Edinburgh  Everitt, W.N. (Dundee) The use of classical and functional analysis in eigenfunction expansion 
Dundee  Synge, J.L. (Dublin Institute for Advanced Studies) The Hamiltonian method and its application to water waves 
Glasgow  Rogers, C.A. (University College, London) Sections and projections of convex bodies 
St Andrews  Ledermann, W. (Sussex) Recent progress in the theory of finite groups 
196465  Back to the top 
Edinburgh  Rutherford, D.E. (St Andrews) Boolean matrices 
Strathclyde  Nonweiler, T.R.F. (Glasgow) The design of wings for high speed flight 
Edinburgh  Erdélyi, A. (Edinburgh) Axially symmetric potentials 
Edinburgh  Duncan, J. (Aberdeen) Dual representations of Banach algebras; 
West, T. Riesz operators  
Edinburgh  Sillitto, A.G. A view of school geometry 
Dundee  Cohn, P.M. (Queen Mary College, London) Rings with a weak algorithm 
Edinburgh  Rankin, R.A. (Glasgow) Some conjectures of J.W.L. Glaisher 
Aberdeen  Wylie, S. (GCHQ) The Travelling Salesman and Related Problems 
St Andrews  Atiyah, M.F. (Oxford) A Lefschetz fixed point formula for elliptic operators 
196566  Back to the top 
Edinburgh  Patterson, E.M. (Aberdeen) (Presidential address) Pseudorings 
Glasgow  Mitchell, A.R. (St Andrews) Some recent advances in the numerical solution of partial differential equations 
Edinburgh  Bonsall, F.F. (Edinburgh) The stability of a wedge under continuous transformations 
Edinburgh  Willmore, T.J. (Durham) Convex immersions 
Edinburgh  (joint with the Edinburgh Mathematical Association) 
Gravett, K.A.H. (Oxford) Mathematics as logic  
Dundee  Collins, W.D. (Strathclyde) Hyperbolic systems of equations in applied mathematics 
London  Burlington House (joint with the London Mathematical Society) 
Flanders, H. (Purdue) Aspects of the differential geometry of hypersurfaces  
Macbeath, A.M. (Dundee) Topological lattices of subgroups  
Aberdeen  Yano, K. (Tokyo Institute of Technology) Almost complex and almost contact spaces 
St Andrews  Coulson, C.A. (Oxford) Lower bounds to eigenvalues 
196667  Back to the top 
Edinburgh  McHarg, E.A. (Glasgow) (Presidential address) Some problems in differential equations 
Edinburgh  Butler, D.S. (Strathclyde) Applications of numerical analysis to noncontinuum flow 
Dundee  Ringrose, J.R. (NewcastleuponTyne) Representations of operator algebras 
Strathclyde  Scorer, R.S. (Imperial) Unstable centrifugal forces 
Edinburgh  (joint with the Edinburgh Mathematical Association) 
Armitage, J.V. (Durham) The place of geometry in schools  
Edinburgh  Goldie. A.W. (Leeds) A survey of noncommutative noetherian rings 
Aberdeen  McLeod, J.B. (Oxford) Regge poles and HilbertSchmidt operators 
St Andrews  Coxeter, H.S.M. (Toronto) The abstract group G^{{3,9,10}} 
196768  Back to the top 
Edinburgh  Fulton, J. (Edinburgh) (Presidential address) The QD algorithm 
Edinburgh  Silvey, S.D. (Glasgow) Optimum regression designs for convex loss functions 
Edinburgh  Noble, M.E. (University of Kent) Interpolatory function theory 
Dundee  Chadwick, P. (University of East Anglia) Mixtures of two continua 
Edinburgh  (joint with the Edinburgh Mathematical Association) 
Matthews, G. (Nuffield Foundation) From cradle to college  
Glasgow  LonguetHiggins, H.C. (Edinburgh) A mathematical theory of temporal recall 
Aberdeen  Robertson, M.M. (Surrey) Identities associated with Farey sequences 
St Andrews  Zeeman, E.C. (Warwick) Thom's theory of catastrophes 
 
196869  Back to the top 
Edinburgh  Gillespie, R.P. (Glasgow) (Presidential address) The problem of Bolza 
HeriotWatt  Zemanian, A.H. (SUNY, on leave at Edinburgh) The Hankel transformation of generalized functions 
Edinburgh  Fox, L. (Oxford University Computing Laboratory) How to obtain meaningless numerical answers 
Strathclyde  Craggs, J.W. (Leeds) Elementary solutions of partial differential equations 
Edinburgh  (joint with the Edinburgh Mathematical Association) 
Skemp, R.R. (Manchester) Psychological foundations of learning mathematics  
Aberdeen  Macbeath, A.M. (Birmingham) Galois theory and modular functions 
Stirling  Hall, P. (Cambridge) Some advances and retreats in the study of simple groups 
St Andrews  Rankin, R.A. (Glasgow) Designs 
196970  Back to the top 
Edinburgh  Schlapp, R. (Edinburgh) (Presidential address) Aspects of dynamical stability 
Glasgow  Godwin, H.J. (Swansea) Work on Euclid's algorithm 
Edinburgh  Carter, R.W. (Warwick) Geometrical structures associated with simple groups of Lie type 
Edinburgh  Mackie, A.G. (Edinburgh) Some pure and applied mathematical problems on the borders of particle and continuum mechanics 
Edinburgh  White, A.J. (Aberdeen) The structure semigroup of a measure algebra 
Dundee  Eells, J. (Warwick) Fredholm structures 
Aberdeen  Britton, J.L. (Kent) Recent results on the Burnside problem 
St Andrews  Wall, C.T.C. (Liverpool) Transversality 
197071  Back to the top 
Edinburgh  Hunter, J. (Glasgow) (Presidential address) Some thoughts on Fermat's Last Theorem 
Strathclyde  Jeffrey, A. (Newcastle) Dispersion in nonlinear waves 
Edinburgh  Reeve, J.E. (King's College London) Some reflections on the cubic curve 
HeriotWatt  Lapwood, E.R. (Cambridge) The earth as a giant bell 
Edinburgh  Jack, H. (Dundee) Integrals of functions of matrix argument 
Dundee  Smith, C.A.B. (University College London) Genetics, evolution and some related and unrelated mathematics 
Stirling  Thompson, J.G. (Cambridge) Finite simple groups  some special cases 
Edinburgh  Brauer, R. (Harvard) (Hardy Lecturer) Some problems in the theory of finite groups 
St Andrews  Kingman, J.F.C. (Oxford) Markov transition functions 
197172  Back to the top 
Edinburgh  Everitt, W.N. (Dundee) (Presidential address) A return to an inequality in Hardy, Littlewood and Polya 
Glasgow  Johnson, B.E. (NewcastleuponTyne) Amenable algebras 
Edinburgh  Moffatt, H.K. (Cambridge) Knotted vortex lines  the clue to dynamo action 
Edinburgh  Schwarzenberger, R.L.E. (Warwick) Topological problems in mathematical crystallography 
HeriotWatt  Aitchison, J. (Glasgow) Hippocratic school geometry 
Dundee  Arscott, F.M. (London) Orthogonal polynomials in several variables 
Aberdeen  Howie, J.M. (St Andrews) Products with amalgamation in groups, rings and semigroups 
Stirling  Smithies, F. (Cambridge) Semigroups of linear operators 
197273  Back to the top 
Edinburgh  Erdélyi, A. (Edinburgh) (Presidential address) Singular perturbations 
Strathclyde  Knops, R.J. (HeriotWatt) Qualitative behaviour in the theory of elasticity 
Edinburgh  Robson, J.C. (Leeds) The language of noetherian rings 
HeriotWatt  Fletcher, R. (Dundee) Exact penalty functions  the philosopher's stone 
Edinburgh  MacIntyre, A.J. (Aberdeen) Isomorphism theorems in model theory 
Stirling  Whittle, P. (Cambridge) Optimal stopping problems 
Aberdeen  Halmos, P.R. (Indiana) Noncommutative approximation theory 
St Andrews  Rado, R. (Reading) Families of sets 
Edinburgh  Rota G.C. (MIT) (Hardy Lecturer) Enumeration and the calculus of finite differences 
197374  Back to the top 
Edinburgh  Collins, W.D. (Strathclyde) (Presidential address) Time optimal control of a crane 
Glasgow  NashWilliams, C.St.J.A. (Aberdeen) Some recent milestones in graph theory 
Edinburgh  Meldrum, J.D.P. (Edinburgh) Nearrings and groups 
Edinburgh  Robinson, P.D. (Bradford) Dual variational principles and Padéapproximant bounds 
Edinburgh  Robinson, D.J.S. (Illinois at UrbanaChampaign) Splitting theorems and the vanishing of certain cohomology groups 
Dundee  Wilkinson, J.H. (National Physical Laboratory) How small is zero? A central problem in numerical analysis 
Aberdeen  Allan, G.R. (Cambridge) Integral formulae in several complex variables 
St Andrews  Benjamin, T. Brooke (Essex) Modern mathematics and mechanics 
197475  Back to the top 
Edinburgh  Howie, J.M. (St Andrews) (Presidential address) Varieties 
Strathclyde  Sibson, R. (Cambridge) Metrics and distances 
Edinburgh  Mirrlees, J.A. (Oxford) The mathematical economics of taxation and punishment 
HeriotWatt  Taylor, J.G. (King's College, London) Black holes and gravity 
Edinburgh  Duncan, J. (Stirling) Cauchy and Banach 
Dundee  Morton, K.W. (Reading) Finite difference and finite element methods 
Stirling  Rees, E.G. (Oxford) When are two maps homotopic? 
St Andrews  Higman, G. (Oxford) Infinite simple groups 
197576  Back to the top 
Edinburgh  Knops, R.J. (HeriotWatt) (Presidential address) Nonlinear elasticity 
Glasgow  Mitchell, A.R. (Dundee) The finite element method  success or failure 
Edinburgh  Wall, G.E. (Sydney) The functional equation of the exponential function in noncommutative variables 
Newcastle uponTyne  (Joint meeting with the LMS) Erdélyi, A. (Edinburgh) Integral transforms of generalized functions Brown, G. (New South Wales) Convolutions of measures 
Edinburgh  Streater, R.F. (Bedford College, London) Classical and quantum probability 
Dundee  Colton, D.L. (Glasgow) Integral operators and partial differential equations 
Aberdeen  Ledermann, W. (Sussex) Schur's multiplier 
Stirling  Robertson, S.A. (Southampton) Mobility in classical geometry and in categories 
197677  Back to the top 
Edinburgh  Wallace, D.A.R. (Strathclyde) (Presidential address) Polynomials and group rings 
Strathclyde  Jones, D.S. (Dundee) Aerodynamic noise 
Edinburgh  Blyth, T.S. (St Andrews) Residuated mappings 
HeriotWatt  Ringrose, J.R. (NewcastleuponTyne) Recent developments in operator algebras 
Edinburgh  Taylor, S.J. (Lancaster) Small sets in potential theory and probability 
Stirling  Richardson, R.W. (Durham) An application of the Serre conjecture to semisimple algebraic groups 
Aberdeen  Roach, G.F. (Strathclyde) Multiparametric problems 
St Andrews  Green, J.A. (Warwick) Modular representations 
197778  Back to the top 
Edinburgh  Bonsall, F.F. (Edinburgh) (Presidential address) Operator representations and analogies 
Edinburgh  Powell, M.J.D. (Cambridge) Numerical methods for nonlinear constraints in optimization calculations 
Glasgow  Ball, J.M. (HeriotWatt) Compensated compactness 
Edinburgh  Williamson, J.H. (Reading) IN groups, SIN groups, and some others 
Edinburgh  Goldie, A.W. (Leeds) Some recent developments in noncommutative ring theory 
Dundee  Martin, D. (Glasgow) Black holes 
Aberdeen  Rankin, R.A. (Glasgow) Differences between primes: a survey 
St Andrews  Rose, J.S. (NewcastleuponTyne) Some naive approaches to the problem of group extensions 
197879  Back to the top 
Edinburgh  Sands, A.D. (Dundee) (Presidential address) Radicals of rings 
Strathclyde  McLeod, J.B. (Oxford) The Kortewegde Vries equation and connection problems for ordinary differential equations 
Edinburgh  (meeting held in memory of the late Professor Arthur Erdélyi) 
Sneddon, I.N. (Glasgow) Some aspects of the life and work of Arthur Erdélyi  
Newcastle uponTyne  (Joint meeting with the LMS) Wassermann, A.S. (Glasgow) Classes of wellbehaved C*algebras Atiyah, M.F. (Oxford) The YangMills equations, Morse theory and the Weil conjectures 
HeriotWatt  Neumann, P.M. (Oxford) A problem of nineteenth century group theory 
Dundee  Chadwick, P. (East Anglia) Continuum theories of rubber like solids 
Stirling  Bollobás, B. (Cambridge) The structure of graphs 
St Andrews  Dynkin, E.B. (Cornell) (Hardy Lecturer) Timereversibility of stochastic processes and duality in probability theory and analysis 
197980  Back to the top 
Edinburgh  Rankin, R.A. (Glasgow) (Presidential address) The Edinburgh Mathematical Society  the first fifty years 
Stirling  Cameron, P.J. (Oxford) Multiple transitivity in graphs 
Edinburgh  Beardon, A.F. (Cambridge) Negative curvature and complex analysis 
Edinburgh  Wiegold, J. (University College, Cardiff) Problems about generating simple groups 
Edinburgh  Sutherland, W.A. (Oxford) Manifolds and bundles: an expository talk 
Dundee  Edmunds, D.E. (Sussex) Spectral asymptotics 
Aberdeen  Sleeman, B.D. (Dundee) Nonwell posed problems for the wave equation 
Glasgow  Penrose, R. (Oxford) Several complex variable theory and theoretical physics: some new developments 
198081  Back to the top 
Edinburgh  Blyth, T.S. (St Andrews) (Presidential address) Pseudocomplements 
Strathclyde  Chillingworth, D.R.J. (Southampton) Loss of stability, bifurcation and a topological index 
Edinburgh  Macdonald, I.G. (Queen Mary College, University of London) The BakerCampbellHausdorff formula 
HeriotWatt  Lance, E.C. (Leeds) Ktheory in geometry, algebra and analysis 
Edinburgh  Woodall, D.R. (Nottingham) How to divide a cake fairly 
Stirling  Adams, J.F. (Cambridge) Triviality, Spin(8) , F_{4}, the Cayley projective plane and all that 
Aberdeen  Fraenkel, L.E. (Sussex) Dirichlet's principle and the Sobolev space w^{1}_{2} : a meeting ground of pure and applied mathematics 
St Andrews  Garling, D.J.H. (Cambridge) Complex convexity 
Edinburgh  Bombieri, E. (Princeton) (Hardy Lecturer) Minimal submanifolds and variational problems 
198182  Back to the top 
Edinburgh  Duncan, J. (Stirling) (Presidential address) Semigroup algebras 
Glasgow  Williams, D. (Swansea) WienerHopf factorization of matrices and operators 
Edinburgh  Lambert, J.D. (Dundee) Numerical analysis  an extension of the calculus? "Calculus is the art of setting up and solving differential equations; this is how it originated, and this is what it is about": Lipman Bers 
Edinburgh  Sinclair, A.M. (Edinburgh) Wiener's Tauberian theorem and the Gaussian semigroup 
Edinburgh  Ursell, F.J. (Manchester) Uniform asymptotics of integrals 
Dundee  Young, N.J. (Glasgow) Power transfer and the nonEuclidean geometry of operators 
Aberdeen  Northcott, D.G. (Sheffield) Familiar and unfamiliar aspects of linear algebra 
St Andrews  Stewart, I.N. (Warwick) Hopf bifurcation writ large 
198283  Back to the top 
Edinburgh  Roach, G.F. (Strathclyde) (Presidential address) Modified Green's functions and null field methods 
Strathclyde  Churchhouse, R.F. (Cardiff) The (re) discovery and (new) proof of two continued fractions of the RogersRamanujan type 
Edinburgh  Pack, D.C. (Strathclyde) Complementary variational principles and the estimation of flux 
Edinburgh  New Senate Hall (The Centenary Meeting and Dinner)_{ } Atiyah, M.F. (Oxford) Angular momentum, convex polyhedra and algebraic geometry 
HeriotWatt  Dales, H.G. (Leeds) Application of complex analysis to real problems 
Dundee  Stuart, C.A. (Lausanne) The range of some nonlinear differential equations 
Stirling  Devlin, K.J. (Lancaster) Do mathematicians have GUTS (or what is the connection between very large sets and metric spaces) ? 
St Andrews  Lennox, J.C. (Cardiff) Grigorchuk's elementary solution of the generalised Burnside problem 
Edinburgh  Tits, J. H. (Collège de France, Paris) (Hardy lecturer) The Leech lattice 
198384  Back to the top 
Edinburgh  Mackie, A.G. (Edinburgh) (Presidential address) A contour integral equation 
Glasgow  Sharp, R.Y. (Sheffield) Local rings and generalized fractions 
Edinburgh  Sewell, M.J. (Reading) A unified approach to maximum and minimum principles 
Edinburgh  Series, C.M. (Warwick) From Eudoxus to Thurston: continued fractions, lunar cycles and train tracks 
Dundee  Collins, D.J. (Queen Mary College, London) From topology to groups to graphs 
Newcastle uponTyne  (Joint meeting with the LMS) Segal, G.B. (Oxford) Loop groups Størmer, E. (Oslo) Involutive antiautomorphisms of von Neumann algebras 
Stirling  Clenshaw, C.W. (Lancaster) Beyond floating point: arithmetic with large numbers 
Aberdeen  Anderson, I. (Glasgow) Some recent combinatorial inequalities 
198485  Back to the top 
Edinburgh  Adamson, I.T.A.C. (Dundee) (Presidential address) Not quite linear 
Strathclyde  Benjamin, T. Brooke (Oxford) Advantages of Hamiltonian theories in continuum mechanics 
Edinburgh  Maclachlan, C. (Aberdeen) Volumes of hyperbolic manifolds 
HeriotWatt  Brown, K.A. (Glasgow) Noetherian rings twentyfive years after Goldie's theorem 
Edinburgh  Baker, C.T.H. (Manchester) Structure in the numerical solution of Volterra integral equations 
Stirling  Moon, J.W. (Alberta) Random trees and river networks 
Aberdeen  Rees, E.G. (Edinburgh) Algebraic varieties of matrices 
St Andrews  Rand, D.A. (Warwick) Universality and chaos in dynamical systems 
Edinburgh  Bott, R.H. (Harvard) (Hardy Lecturer) What is an instanton? 
198586  Back to the top 
Edinburgh  Munn, W.D. (Stirling) (Presidential address) Inverse semigroups 
Glasgow  Murray, J.D. (Oxford) Pattern formation mechanisms in developmental biology: analysis and applications 
Edinburgh  Archbold, R.J. (Aberdeen) Kaplansky's StoneWeierstrass conjecture 
Edinburgh  Fletcher, R. (Dundee) Expected conditioning 
Edinburgh  Eells, J. (Warwick) The geometry of Coulomb gauge fields 
Dundee  Whiteman, J.R. (Brunel) Finiteelement methods, including superconvergence, for problems involving singularities 
Aberdeen  Moffatt, H.K. (Cambridge) The Euler equations of fluid flow  a variational problem under topological constraints 
St Andrews  Robson, J.C. (Leeds) Projective modules and simple rings 
198687  Back to the top 
Edinburgh  Hubbuck, J.R. (Aberdeen) (Presidential address) Hmultiplications on Cartesian products 
Strathclyde  Crighton, D.G. (Cambridge) Acoustics, asymptotics and applied mathematics 
Edinburgh  Biggs, N.L. (Royal Holloway and Bedford New College) Regular trees and their quotients 
HeriotWatt  Ripley, B.D. (Strathclyde) Pseudorandomness: some unexpected applications of number theory 
Dundee  Bruce, J.W. (Newcastle upon Tyne) Whatever happened to calculus? 
Stirling  HeathBrown, R. (Oxford) Arithmetic progressions in integer sets 
Edinburgh  (Joint meeting with the LMS) 
Davies, E.B. (London) Heat kernel bounds for LaplaceBeltrami operators and subelliptic operators on manifolds  
Stein, E.M. (Princeton) Harmonic analysis on nilpotent groups  
Christ, M. (California, Berkeley) Particularly singular integrals and a ∂^{} problem  
Davie, A.M. (Edinburgh) Fourier analysis of dynamical systems  
Varpoulos, N.Th. (Paris) Dirichlet forms on Lie groups  
St Andrews  Segal, D. (Oxford) On counting subgroups of finite index, and some rational Poincaré series 
Edinburgh  Rabin, M. (Harvard) (Hardy Lecturer) Randomized algorithms in number theory 
198788  Back to the top 
Edinburgh  Heywood, P. (Edinburgh) (Presidential address) A_{p} conditions in harmonic analysis 
Glasgow  Pritchard, A.J. (Warwick) The distance of a stable matrix from the set of unstable ones 
Edinburgh  Kendall, W.S. (Strathclyde) Symbolic computation, Ito calculus and the statistics of shape 
Edinburgh  Ogden, R.W. (Glasgow) Bifurcation phenomena in nonlinear elasticity 
Edinburgh  Falconer, K.J. (Bristol) Fractals: some recent theory and applications 
Dundee  Hall, G.S. (Aberdeen) Geometry and symmetry in relativity theory 
Stirling  Allenby, R.B.J.T. (Leeds) Residual properties of 1relator groups and 1relator products 
Aberdeen  Donaldson, S.K. (Oxford) Quasiconformal 4manifolds 
198889  Back to the top 
Edinburgh  Moss, R.M.F. (Stirling) (Presidential address) Homotopy groups of spheres 
Strathclyde  Gibbon, J.D. (Imperial College, London) Global attractors and lowdimensional behaviour of partial differential equations 
Edinburgh  Carter, R.W. (Warwick) KacMoody algebras 
HeriotWatt  Percival, I.C. (Queen Mary College, London) Chaos in Hamiltonian systems 
Edinburgh  Truman, A. (University College, Swansea) Stochastic mechanics and quantum mechanics 
Stirling  Milner, A.J.R.G. (Edinburgh) An algebraic theory of communicating automata 
Aberdeen  Coates, J. (Cambridge) Iwasawa theory 
St Andrews  Gillespie, T.A. (Edinburgh) The transfer of inequalities in analysis 
Edinburgh  Jones, V.F.R. (Berkeley) (Hardy Lecturer) Braid group representations in quantum physics 
198990  Back to the top 
Edinburgh  Sleeman, B.D. (Dundee) (Presidential address) Biological complexity and Hamiltonian dynamics 
Glasgow  Lyons, T.J. (Edinburgh) Brownian motion and stochastic differential equations 
Edinburgh  Lions, P.L. (ParisDauphine) Recent mathematical results on the MaxwellBoltzmann equation and related kinetic models 
Edinburgh  LeedhamGreen, C.R. (Queen Mary College, London) A geometrical structure theorem for finite pgroups 
Edinburgh  Gibson, C.G. (Liverpool) Geometry of robotics 
Dundee  May, R.M. (Oxford) The transmission dynamics of HIV/AIDS 
Aberdeen  Quillen, D.G. (Oxford) Index theory, circle actions and cyclic cohomology 
St Andrews  Howie, J. (HeriotWatt) An algorithmic approach to solving equations over groups 
199091  Back to the top 
Edinburgh  Ball, J.M. (HeriotWatt) (Presidential address) Layers within layers  the calculus of variations and crystal microstructure 
Strathclyde  Körner, T.W. (Cambridge) Molehills out of mountains 
Napier  Ockendon, J.R. (Oxford) Free boundary problems in crystal growth and superconductivity 
HeriotWatt  Cornwell, J.F. (St Andrews) Quantum groups 
Edinburgh  Madsen, I. (Aarhus) The cyclotomic trace and diffeomorphisms of manifolds 
Dundee  Spence, A. (Bath) Stable matrices and Hopf bifurcations in large systems, with applications to problems in fluid mechanics 
Stirling  Bailey, R. (Goldsmiths' College, London) Latin cubes 
St Andrews  Morris, A.O. (Aberystwyth) Schur's Qfunctions and their applications 
Edinburgh  Blaine Lawson, H. (Stony Brook) (Hardy Lecturer) Manifolds of positive curvature 
 
199192  Back to the top 
Edinburgh  Rees, E.G. (Edinburgh) (Presidential address) Evolutes, focal sets, and Morse theory 
Glasgow  Preiss, D. (University College, London) New results in classical geometric measure theory 
Edinburgh  Odoni, R.W.K. (Glasgow) Monogenic rings of integers 
Edinburgh  (Joint meeting with ICMS, Edinburgh) 
Mitchell, A.R. (Dundee) Attractors in long time numerical solutions of nonlinear systems  
James, R.D. (University of Minnesota) Paper folding and the microstructure of crystals  
Edinburgh  Kropholler, P.H. (Queen Mary and Westfield College) Bounded cohomology 
Dundee  Institute of Technology 
Lacey, A.A. (HeriotWatt University) Blowup for reactiondiffusion equations  
Stirling  Grimmett, G.R. (Bristol) Large deviations, and the method of bounded differences 
Aberdeen  Berry, M.V. (Bristol) Divergent series: reaping Dingle's harvest 
199293  Back to the top 
Edinburgh  Lickorish, W.B.R. (Cambridge) The TemperleyLieb algebra and (quantum) invariants for 3manifolds 
Strathclyde  Toland, J.F. (Bath) An extraordinary bifurcation of large amplitude homoclinic orbits for Hamiltonian systems 
Glasgow  Pride, S.J. (Glasgow) Using pictures to study groups and semigroups 
HeriotWatt  Bullett, S.R. (Queen Mary and Westfield College) Geometry and topology of iterated correspondences 
Edinburgh  Ransford, T.J. (Cambridge) Hausdorff dimension of Julia sets 
Stirling  Titterington, D.M. (Glasgow) A statistician's perception of perceptrons (neural networks) 
Aberdeen  MacIntyre, A.J. (Oxford) Logic and real analytic functions 
St Andrews  Duff, I.S. (Rutherford Appleton Laboratory & C.E.R.F.A.C.S.) Solution of symmetric, indefinite, sparse, linear equations 
Edinburgh  Feit, W. (Yale) (Hardy Lecturer) The existence of algebraic number fields with given Galois group and maximal subfields of division rings 
Edinburgh  (EMS/LMS Popular lectures) 
Robertson, S.A. (Southampton) How to see objects in four dimensions  
Alexander, R. McN. (Leeds) Optimisation of running and jumping  
199394  Back to the top 
Edinburgh  McBride, A.C. (Strathclyde) (Presidential address) A Celebration of RL Int. 
Glasgow  Schofield, A.H. (Bristol) Ore localisation and universal localisation 
Napier  Drazin, P.G. (Bristol) Hydrodynamic stability 
Edinburgh  Wilson, R.J. (Open University) Edgecolourings of graphs 
Edinburgh  Giblin, P.J. (University of Liverpool) Shape, symmetry and grasp 
Dundee  Lloyd, N.G. (Aberystwyth) Polynomial differential equations: Hilbert's sixteenth problem 
Aberdeen  Ward, R.S. (University of Durham) Discrete SineGordon solitons 
St Andrews  Wainger, S. (University of Wisconsin) Lebesgue's theorem on the derivative of the integral, Fourier transforms, and some nilpotent Lie groups 
Edinburgh  (EMS/LMS Popular lectures) 
Pinch, R.G. (Cambridge) Fermat's last theorem  
Wright, C. (Solipsys Limited) Juggling  
199495  Back to the top 
Edinburgh  Zeeman, E.C. (Hertford College, Oxford) Controversies in Mathematics; on the ideas of Daniel Bernoulli and René Thom 
Strathclyde  Elgin, J.N. (Imperial College, London) Perturbations of optical solitons 
Edinburgh  McDuff, D. (SUNY at Stony Brook) The geometry of symplectic energy 
HeriotWatt  Ockendon, H. (University of Oxford) The changing face of mathematics in industry 
Edinburgh  Dunwoody, M.J. (University of Southampton) Ends of graphs and groups 
Abertay  Wood, A.D. (Dublin City University) Stokes phenomenon demystified 
Stirling  McDiarmid, C.J.H. (University of Oxford) Random graph colouring 
St Andrews  Berger, M.A. (University College, London) Topological invariants of vector fields 
Edinburgh  Parthasarathy, K.R. (Indian Statistical Institute, Delhi) (Hardy Lecturer) What is a quantum Markov process? 
Edinburgh  (EMS/LMS Popular lectures) 
Saunders, P.T. (King's College, London) Measuring the Marigold  
Ray, N. (Manchester) Wild Geometry  
199596  Back to the top 
Edinburgh  Craik, A.D.D. (St Andrews) (Presidential address) Tradition and innovation: Scottish mathematics of the early 19th Century 
Glasgow  Reid, A.W. (Cambridge) padic Lie groups in lowdimensional topology 
Edinburgh  Welsh, D.J.A. (Oxford) Polynomials of knots, colourings and codes and their complexity 
Edinburgh  Langley, J.K. (Nottingham) Value distribution of meromorphic functions and some connections with iteration 
Dundee  Carr, J. (HeriotWatt) Selfsimilarity in coarsening models 
Stirling  Rippon, P.J. (Open University) Some geometric properties of quadratic Julia sets 
Glasgow  (Joint meeting with London Mathematical Society) 
Pin, J.E. (Paris VI, LITP and CRNS) Automata, finite semigroups and the Hall topology for the free group  
Maclachlan, C. (Aberdeen) Bianchi groups and quadratic forms  
Lubotsky, A. (Jerusalem) Subgroup growth: the gap problem  
Goodearl, K.R. (Santa Barbara) Some geometric aspects of quantum coordinate rings  
Rickard, J. (Bristol) Infinitedimensional representations of finite groups  
Levitt, G. (Toulouse) Elements of finite order in GL(n, Z) and the dynamics of free group automorphisms  
Aberdeen  Hitchin, N.J. (Cambridge) Theta functions and Riemannian geometry 
Glasgow  (EMS/LMS Popular lectures) 
Hilton, P.J. (SUNY) New wine in old bottles  
Sewell, M.J. (Reading) Bubbles and dinosaurs  
199697  Back to the top 
Edinburgh  Atiyah, M.F. (Trinity College, Cambridge) Duality in Mathematics and Physics 
Strathclyde  Budd, C.J. (Bath) New types of bifurcations in nonsmooth problems 
Napier  Rees, S.M. (Liverpool) Some group actions on the circle 
Edinburgh  Newell, A.C. (Warwick) The description of natural patterns 
Edinburgh  Power, S.C. (Lancaster) Towers of finitedimensional algebras 
Stirling  Thomason, A.G. (Cambridge) Ramsey's Theorem  then and now 
Aberdeen  Johnson, B.E. (NewcastleuponTyne) Crossed homomorphisms and group actions in topological spaces 
St Andrews  Laffey, T.J. (University College, Dublin) The inverse eigenvalue problem for matrices with nonnegative entries 
Edinburgh  (EMS/LMS Popular lectures) 
Atkinson, M.D. (St Andrews) Staying ahead of the opposition  
Kent, J.T. (Leeds) How to study random shapes  
199798  Back to the top 
Edinburgh  Smith, P.F. (Glasgow) (Presidential address) Division algebras and Forfar 
Glasgow  Roe, J. (Oxford) Products in Ktheory and Khomology 
HeriotWatt  Gowers, W.T. (Cambridge) Arithmetic progressions of length four 
Edinburgh  Hinch, E.J. (Cambridge) A load of balls in Newton's cradle 
Edinburgh  MendesFrance, M. (Bordeaux) Thermodynamics of curves and real zeros of polynomials 
Dundee  Iserles, A. (Cambridge) The numerical analysis of differential equations on manifolds 
Aberdeen  Bridson, M.R. (University of Oxford) The geometry of word problems in groups 
St Andrews  Hawkes, T.O. (Warwick) Some reflections on character tables 
Strathclyde  (LMS/EMS Popular Lectures) 
Körner, T.W. (Cambridge) Marrying, Voting, Choosing  
Pedley, T.J. (Cambridge) Giraffe Blood Flow and Patternforming Bacteria  
199899  Back to the top 
Edinburgh  Trefethen, L.N. (Oxford University Computing Laboratory) SchwarzChristoffel mapping in the computer era 
Strathclyde  Abrahams, I.D. (Manchester) Matrix WienerHopf factorization with applications in fluid and solid mechanics 
Napier  Brezinski, C. (Lille) A historical survey of convergence acceleration methods and Padé approximation 
Edinburgh  Partington, J.R. (Leeds) Convolutions and complexity 
Edinburgh  James, G.D. (Imperial College) Symmetric groups and related algebras 
Abertay  Sherratt, J. (HeriotWatt University) Painting by numbers in biology: mathematical modelling of pattern formation 
Stirling  Jackson, W. (Goldsmith's College) Applications of graph connectivity to network reliability 
Edinburgh  McDuff, D. (SUNY at Stonybrook) (Hardy Lecturer) A survey of symplectic topology 
Aberdeen  Rendall, A. (Max Planck Institut, Potsdam) Blowup singularities in solutions of hyperbolic PDE's and their significance for general relativity 
Glasgow  (LMS/EMS Popular Lectures) 
Berkshire, F. (Imperial College) Floating, Spinning, Tumbling  
Series, C.M. (Warwick) Tangent Circles  Patterns and Packings  
199900  Back to the top 
Edinburgh  Maclachlan, C. (Aberdeen) (Presidential address) Hyperbolic 3manifolds and arithmetic 
Glasgow  Bardos, C. (Paris) Deterministic approach to the limit of a large reversible system 
HeriotWatt  Vassiliev, D. (Bath) The Dirac equation without spinors 
Edinburgh  Ainsworth, M. (Strathclyde) Fundamental systems of numerical schemes for linear convectiondiffusion equations and their relationship to accuracy 
Edinburgh  Tillmann, U.L. (Oxford) The moduli space of Riemann surfaces  a homotopy approach 
Dundee  Maini, P.K. (Oxford) Chemotaxis as a model pattern generator: applications to snakes, slime, mould, alligators and chickens 
Stirling  McKee, J.F. (Oxford) Pisot numbers with negative trace 
St Andrews  Margulis, G.A. (Yale) Diophantine approximation, lattices and flows on homogeneous spaces 
Strathclyde  (LMS Popular Lectures) 
Barrow, J. (Cambridge) Simplicity and complexity  
Falconer, K.J. (St Andrews) Fractals  the New Geometry  
200001  Back to the top 
Edinburgh  Kauffman, L.H. (University of Illinois at Chicago) Virtual knot theory 
Strathclyde  Griffiths, D.F. (Dundee) Mixed finite element methods, stability and related issues 
Napier  Light, W.A. (Leicester) Approximating scattered data with radial basis functions 
Edinburgh  Etheridge, A.M. (Oxford) Grasshoppers everywhere: evolution in spatially continuous populations 
Edinburgh  Donkin, S. (Queen Mary & Westfield College, London) Symmetric and exterior powers 
Aberdeen  Morton, H.R. (Liverpool) Skein theory and the Murphy operators 
Stirling  Hill, R. (Salford) Codes, Lies and Videotape 
Edinburgh  Diaconis, P. (Stanford) (Hardy Lecturer) An introduction to random matrix theory 
St Andrews  Brezis, H. (Université Pierre et Marie Curie, Paris VI) New thoughts on Sobolev spaces: connections to topology 
Strathclyde  (EMS/LMS Popular Lectures) 
Budd, C.J. (Bath) Simulating the world  
Cameron, P.J. (Queen Mary & Westfield) Codes  
200102  Back to the top 
Edinburgh  Howie, J. (HeriotWatt) (Presidential address) Group theory and threedimensional manifolds 
Glasgow  CrawleyBoevey, W.W. (Leeds) Counting representations of quivers 
HeriotWatt  Chaplain, M.A.J. (Dundee) Aspects of cancer growth: mathematical modelling, mutations and metastases 
Edinburgh  Leader, I.B. (Cambridge) Discrete isoperimetric inequalities 
Edinburgh  Wiggins, S.B. (Bath) Arnold diffusion 
Dundee  Suli, E. (Oxford) Finite element approximation of partial differential equations: stability, accuracy, adaptability 
Aberdeen  Notbohm, D. (Leicester) On the homotopy theory of classifying spaces 
Edinburgh  Its, A. (Purdue) (LMS Hardy Lecture) Asymptotics of orthogonal polynomials, the RiemannHilbert problem and universality in matrix models 
St Andrews  Stallard, G.M. (Oxford) Dimensions of Julia sets 
Strathclyde  (EMS/LMS Popular Lectures) 
Mason, H. (Cambridge) Our dynamic sun  
Silvester, J. (King's College, London) Geometry Ancient & Modern  
200203  Back to the top 
Edinburgh  van Lint, J.H. (Technical University of Eindhoven) Recent applications of coding theory 
Strathclyde  Stuart, A.M. (Warwick) Stochastic behaviour of deterministic systems 
Napier  Dritschel, D.G. (St Andrews) Intertwining mathematics and numerics in the simulation of atmospheric and oceanic fluid dynamics 
Edinburgh  Davenport, J.H. (Bath) Recent developments in cryptographic number theory 
Stirling  Jerrum, M.R. (University of Edinburgh) Computing the permanent: a study in Markov chain Monte Carlo 
Abertay  Toland, J.F. (University of Bath and ICMS Edinburgh) Linking in the calculus of variations 
Edinburgh  (joint with the British Society for the History of Mathematics) 
Searl, J.W. (Edinburgh) Where do ideas come from?  
Mason, H. (Madras College, St Andrews) J.E.A. Steggall: teaching mathematics 18801933  
Neumann, P.M. (The Queen's College, Oxford) A discourse concerning algebra: finite fields in nineteenth century algebra  
Stedall, J. (The Queen's College, Oxford) A discourse concerning algebra: John Wallis (16161703) and seventeenth century algebra  
Aberdeen  Skorobogatov, A. (Imperial) On the Hasse principle for curves and surfaces 
Edinburgh  (Joint meeting with LMS as part of ICMS Hodge Centenary Conference) 
Atiyah, M.F. (Edinburgh) Sir William Hodge  the man and the mathematician  
Penrose, R. (Oxford) Mathematical experiences as a Cambridge research student under William Hodge  
Hirzebruch, F. (Bonn) Hodge numbers, Chern numbers, Catalan numbers  
200304  Back to the top 
Edinburgh  Gillespie, T.A. (Edinburgh) (Presidential address) Variations on Hilbert's matrix 
Glasgow  Rees, S.E. (Newcastle) The fable of the hare and the tortoise; a race between word hyperbolic and nilpotent groups 
HeriotWatt  Sloan, D.M. (Strathclyde) On norms of inverses of pseudospectral differentiation matrices 
Edinburgh  Kropholler, P.H. (Glasgow) Classifying spaces for proper group actions 
Edinburgh  Hambly, B.M. (Oxford) Directed percolation, queues and random matrices 
Dundee  Stark, J. (Imperial) Tcell Fratricide, Homeostasis and HIV 
Stirling  Woodall, D.R. (Nottingham) Paradoxes of preferential voting 
Edinburgh  Tao, T. (University of California Los Angeles) (Hardy Lecturer) Honeycombs and sums of Hermitian matrices 
St Andrews  Thomas, R.M. (Leicester) Groups and formal languages 
200405  Back to the top 
Edinburgh  Roe, J. (Penn State University) Manifolds of bounded geometry 
Strathclyde  Graham, I.G. (Bath) Boundary element methods: analysis of accuracy & complexity 
Napier  GravesMorris, P.R. (Bradford) The parameterisation of resonances 
Edinburgh  Zuazua Iriondo, E. (Universidad Autónoma de Madrid) Control: theory and numerics 
Edinburgh  Green, B.J. (Bristol) Linear equations in the primes: recent progress and future prospects 
Aberdeen  Reid, M. (Warwick) Diptych varieties and CC* covers of Mori flips of type A 
Stirling  Keating, J.P. (Bristol) Random Matrix Theory and the Riemann Zeta Function 
St Andrews  Pollicott, M. (Warwick University, visiting Porto) Guessing the size of fractal sets 
200506  Back to the top 
Edinburgh  Rowlinson, P. (Stirling) (Presidential address) Star complements in finite graphs 
Glasgow  Liebeck, M. (Imperial College) Probabilistic group theory and Fuchsian groups 
HeriotWatt  Leimkuhler, B. (Leicester) Molecular dynamics in and out of equilibrium 
Edinburgh  Byrne, H.M. (Nottingham) Multiscale modelling of solid tumour growth 
Edinburgh  Goldberg, L.A. (Warwick) Markov chains and sampling graph colourings 
Dundee  Higham, N.J. (Manchester) Four theorems in matrix analysis, with applications 
Aberdeen  Robertson, A.G. (Newcastle) Trees, buildings and boundaries 
St Andrews  Geck, M. (Aberdeen) Canonical bases in representation theory 
Edinburgh  Manin, Y. (Max Planck Institute, Bonn) (Hardy Lecturer) Iterated integrals of modular forms and noncommutative modular symbols 
200607  Back to the top 
Edinburgh  Carbery, A. (Edinburgh) How much mass can you put into space without there being too much in any tube, and why do we care? 
Strathclyde  Wathen, A. (Oxford) Matrix iterations and saddlepoint systems: from optimization to NavierStokes and back 
HeriotWatt  Grebogi, C. (Aberdeen) Chaotic dynamics and modelling 
Edinburgh  Bridgeland, T. (Sheffield) Quivers and surface singularities 
Edinburgh  Ball, K.M. (University College, London) From monotone transportation to geometry and probability 
Dundee  Sandstede, B (Surrey) Dynamics of nonlinear waves 
Stirling  Proctor, M.R.E. (Cambridge) Instabilities of patterns induced by strong spatial resonances 
Aberdeen  Chuang, J. (Bristol) Rhombus tilings and tiltings 
200708  Back to the top 
Edinburgh  Campbell, C.M. (St Andrews) (Presidential address) Presentations galore 
Glasgow  Stuart. C.A. (Ecole Polytechnique Fédérale de Lausanne) Buckling and bifurcation 
Strathclyde  Jimack P.K. (Leeds) Multigrid and nonlinear systems of PDEs 
Edinburgh  Kirwan, F. (Oxford) Nonreductive group actions and symplectic implosion 
Edinburgh  (125th Anniversary Meeting) 
Taylor, M.J. (Manchester) Aspects of Galois theory in arithmetic geometry  
Toland, J.F. (Bath) A relaxed approach to optimization with geometric constraints  
Dundee  Stevens, A. (Max Planck Institute, Leipzig) Mathematical analysis of pattern formation: Turing mechanisms vs local interaction in developing cell systems 
Aberdeen  Ranicki, A.A. (Edinburgh) The Poincaré duality theorem and its converse 
St Andrews  Parker, C.W. (Birmingham) Characterizations of simple groups 
Edinburgh  Weinberger, S. (University of Chicago and Hebrew University) (Hardy Lecturer) Playing the Novikov game 
200809  Back to the top 
Edinburgh  Ricci, F. (Scoula Normale Superiore, Pisa) Uncertainty inequalities and semigroups 
Glasgow  Hess, K. (Lausanne) Free loop spaces in topology and physics 
Edinburgh  (Joint EMS/LMS meeting) 
Valette, A. (Neuchâtel) The Haagerup property and its stability properties  
Zelmanov, E. (UC San Diego) Asymptotic properties of finite groups and finite dimensional algebras  
Bartholdi, L. (Göttingen) Automatically presented groups  
Bridson, M.R. (Oxford) Dimension, rigidity and fixed point theorems  
HeriotWatt  Fraenkel, L.E. (Bath) On the increase in asymmetry of capacity, surface area and the like 
Edinburgh  Linton, C.M. (Loughborough) Three astronomical anniversaries 
Dundee  Ricca, R. (University of MilanoBicocca) Topology bounds the energy of knots and links 
Stirling  King, J.R. (Nottingham) Divergent series and the role of exponentially small terms in differential equations 
St Andrews  Caranti, A. (Trento) Ciphers and groups 
200910  Back to the top 
Edinburgh  Archbold, R.J. (Aberdeen) (Presidential address) Strength of convergence and improper actions of groups 
Strathclyde  Chapman, S.J. (Oxford) Kelly vs Markowitz: a comparison of alternative systems for maximising gain and minimising risk 
HeriotWatt  Batty, C.J.K. (Oxford) Functional calculus of unbounded operators 
Edinburgh  Snaith, N. (Bristol) (Popular lecture) Hollywood's Hippest Mathematics: random matrices and Riemann zeros 
Edinburgh  Totaro, B.J. (Cambridge) The Hodge conjecture 
Stirling  Diekmann, O. (Utrecht) On delay equations and population dynamics 
Aberdeen  Drutu, C. (Oxford) On limit spaces and actions of groups [This meeting was cancelled due to travel difficulties caused by volcanic ash] 
St Andrews  Lackenby, M. (Oxford) Classifying knots via Reidemeister moves 
Edinburgh  Nakajima, H. (Kyoto) (Hardy Lecturer) Quiver varieties and cluster algebras 
201011  Back to the top 
Edinburgh  Keller, B. (Paris VII) Quiver mutation and quantum dilogarithm identities 
Strathclyde  Crowdy, D.G. (Imperial College) Function theory in multiply connected domains 
Glasgow  Maddocks, J.H. (École Polytechnique Fédérale de Lausanne) meeting cancelled due to adverse weather conditions 
Edinburgh  Neunhoffer, M. (St Andrews) (Popular lecture) Sudoku and mathematics 
Edinburgh  Tao, T. (UCLA, visiting Newton Institute) Discrete random matrices 
Dundee  Silvester, D.J. (Manchester) Fast iterative solvers for saddle point problems 
Aberdeen  Reiten, I. (Trondheim) Cluster algebras and cluster categories 
Stirling  Gourley, S. (Surrey) Modelling the evolution of insecticide resistance in mosquitoes and effective use of insecticides 
201112  Back to the top 
Edinburgh  Davies, P. (Strathclyde) (Presidential address) Numerical approximation of wave scattering problems 
Glasgow  Maddocks, J.H. (École Polytechnique Fédérale de Lausanne) Optimal packings of tubes, global radius of curvature, and ideal knot shapes 
HeriotWatt  Niethammer, B. (Oxford) Selfsimilar solutions for Smoluchowski's coagulation equation 
Edinburgh  Olhede, S. (UCL) Modulated oscillations 
Edinburgh  Wright, C. (Solipsys Limited) (Popular lecture) Juggling: theory and practice 
Dundee  Preziosi, L. (Politecnico di Torino) The mathematics of cancer: an overview 
Aberdeen  Monod, N. (École Polytechnique Fédérale de Lausanne) Fixed points and derivations 
St Andrews  Dehornoy, P. (Caen) Set Theory fifty years after Cohen 
Edinburgh  Ghys, E. (Ecole Normale Supérieure de Lyon) (Hardy Lecturer) Monge and optimal transport 
201213  Back to the top 
Edinburgh  Thomas R. (Imperial College, London) The Göttsche conjecture 
Strathclyde  Craster, R. (Imperial College, London) Vignettes in Mathematics 
HeriotWatt  Howison, S. (Oxford) Games with exhaustible resources 
Edinburgh  Donnelly, C. (Imperial College, London) Badger culling and the science led policy challenge 
Edinburgh  Bedford, D. (Keele) (Popular lecture) Tales of ants, bricks, bugles, barrels and infinity 
Dundee  MarciniakCzochra, A. (Heidelberg) Mathematical models of fitness selection during cell differentiation and stem cellinitiated cancer development 
Stirling  Britton, N. (Bath) Give him our noses and let him go: modelling interspecific kleptoparasitism 
St Andrews  Möller, R. (Reykyavik) Visualizing the shape of a group 
201314  Back to the top 
Edinburgh  Chaplain, M.A.J. (Dundee) (Presidential address) Cucumber, calculus and cancer: a presidential perspective 
Strathclyde  Robinson, J. (Warwick) A simple partial differential equation with surprising behaviour 
Glasgow  Smith, I. (Cambridge) Symplectic topology of Euclidean space 
Edinburgh  Maclagan, D. (Warwick) Geometry of the moduli space of genus zero curves 
Stirling  Carrillo de la Plata, J.A. (Imperial College) Stability and pattern formation in nonlocal interaction models 
Edinburgh  Barrow, J.D. (Cambridge) (Popular lecture) Maths and sport 
Aberdeen  Sniady, P. (Munich) Combinatorics of asymptotic representation theory 
St Andrews  Leary, I. (Southampton) Platonic polygonal complexes 
201415  Back to the top 
Edinburgh  Wooley, T. (Bristol) A translationinvariant perspective on arithmetic (and) harmonic analysis 
Glasgow  Stroppel, C. (Bonn) Classical dualities from a modern perspective 
HeriotWatt  Hairer, M. (Warwick) Taming infinities 
Edinburgh  Pintz, J. (Renyi Institute, Budapest) Bounded gaps between primes and some old conjectures of Paul Erdős 
Edinburgh  Tokieda, T. (Cambridge) (Popular lecture) Science from a sheet of paper 
Dundee  Perthame, B. (Paris) Mathematical aspects of tumour growth 
Stirling  Bridson, M.R. (Oxford) Curvature, complexity and finite shadows of infinite groups 
Aberdeen  Breuillard, E. (Paris Sud) Heights in Diophantine geometry, entropy and growth of groups 
Barcelona  EMS/SCM (Societat Catalana de Matemàtiques) joint meeting See THIS LINK 
201516  Back to the top 
ICMS/ Edinburgh  (Presidential address) Carbery, A. (Edinburgh) Analysis, topology and beyond: a reflective perspective on the teachingresearch continuum from Bolzano to Guth and Catz 
Strathclyde  Gerbeau, JF. (Inria and Sorbonne Universities UPMC) Approximated Lax pairs for nonlinear evolution equations 
ICMS/ Edinburgh  (Joint EMS/LMS meeting) Mathematical aspects of big data: _{ } 
Tardos, E. (Cornell) Learning, inference, and efficiency in games  
Brodzki, J. (Southampton) Joining the dots: mathematics of data  
Diakonikolas, I. (Edinburgh) Algorithmic aspects of inference  
Scott, M. (Glasgow) "Size is not all that matters"  scale, variety and complexity of BIG data  
Rivin, I. (St Andrews) Zeolites, experimental mathematics, and other potential applications of data science  
Coifman, R. (Yale) Harmonic analysis and geometry of databases, concept and context dualities  
McDiarmid, C. (Oxford) Random graphs from structured classes  
Cartis, C. (Oxford) The power of optimization algorithms  tractability and and scalability for large problems  
ICMS/ HeriotWatt  SaintRaymond, L. (ENS Paris / Harvard) Linear fluid models as scaling limits of interacting systems of particles 
Edinburgh  Twarock, R (York) (Popular lecture) Geometry: a secret weapon in the fight against viruses 
Dundee  Le Bris, C. (Ecole des Ponts and Inria, Paris) Modern materials science: mathematical theory and computational approaches 
Aberdeen  Eilers, S. (Copenhagen) The complete classification of CuntzKrieger algebras 
St Andrews  Zähle, M. (Jena) Geometry past and present  a stroll through curved spaces 
201617  Back to the top 
ICMS/ Edinburgh  Pach, J (Renyi Inst. Budapest and EPFL Lausanne) Towards a SemiAlgebraic Combinatorics 
Strathclyde  Graham, I. (Bath) Solving the Helmholtz equation at high frequency 
Stirling  Kratochvil, J. (Charles University, Prague) Geometric Representations of Graphs: Partial Extensions versus Simultaneous Embeddings 
Edinburgh  Monod, N. (EPFL Lausanne) (Popular Lecture) 1+1=1, or the BanachTarski paradox 
ICMS/ Edinburgh  Buck, D. (Imperial College, London) Knotted DNA: Mathematical Models and Biological Consequences 
Glasgow  Jones, Vaughan (Vanderbilt and Newton Institute) A machine for constructing representations of R. Thompson's groups, unitary and otherwise 
St Andrews  Jordan, T. (Bristol) Multifractal analysis beyond uniform hyperbolicity 
Dundee  Ghrist, R. (Pennsylvania) Topological Inference from Data 
ICMS/ Edinburgh  EMS/SCM (Societat Catalana de Matemàtiques) joint meeting See THIS LINK 
201718  Back to the top 
ICMS/ Edinburgh  (Presidential address) Strachan, I (Glasgow) Miura maps: from the Union Canal to quotient singularities 
St Andrews  Van Heijst, G. (TU Eindhoven) The behaviour of vortex structures near solid obstacles 
ICMS/ HeriotWatt  Schönlieb, CB. (Cambridge) Modelbased learning in imaging 
ICMS/ Edinburgh  Vega, L. (Basque Country) The Vortex Filament Equation: the Talbot effect and the transfer of energy and momentum. 
Edinburgh  (Popular Lecture) Grime, J. (Cambridge) Alan Turing and the Enigma Machine 
Glasgow  Snashell, N. (Leicester) Koszul Algebras, cohomology and support varieties 
Aberdeen  Bader, U. (Weitzmann Institute) The Ergodic Method for Linear Groups 
Stirling  White, J. (Bath) What makes a good drug for transdermal delivery or monitoring? Insights from mathematical modelling. 
Glasgow  Chaplain, M.A.J. (St Andrews) Mathematical Modelling, Mutations and Metastases: Can We Cure Cancer with Calculus? 
201819  Back to the top 
Edinburgh  Marsh, R. (Leeds) Frieze patterns of integers 
Stirling  Zastawniak, T. (York) Branching processes representation of solutions to nonlinear Dirac equations 
ICMS/ HeriotWatt  Quastel, J. (Toronto & Newton Institute) The KPZ fixed point 
Glasgow  Stallard, G. (Open University) Complex dynamics: the intriguing case of wandering domains 
Strathclyde  Martinsson, P.G. (Texas) Randomised algorithms for large scale linear algebra and data analytics 
Dundee  Pironneau, O. (Paris VI) Mathematics and Supercomputing 
Aberdeen  Kuhlmann, S. (Konstanz) Automorphism groups of fields of generalised series 
St Andrews  Acheson, D. (Oxford) Mathematics, Magic and Playing the Guitar 
201920  Back to the top 
ICMS/ Edinburgh  AGM and Presidential Address 
Dundee  Pulvirenti, M. (Rome I) 
ICMS/ Edinburgh  Leclerc, B. (Caen) 
Strathclyde  Strakos, Z. (Prague) 
ICMS/ HeriotWatt  Otto, F. (Max Planck Institute, Leipzig) 
Aberdeen  Mikhalkin, G. (Geneva) 
St Andrews  Twarock, R. (York)
