Chronology

1700 - 1720

1702

David Gregory publishes Astronomiae physicae et geometricae elementa which is a popular account of Newton's theories.

1706

Jones introduces the Greek letter π to represent the ratio of the circumference of a circle to its diameter in his Synopsis palmariorum matheseos (A New Introduction to Mathematics).

1707

Newton publishes Arithmetica universalis (General Arithmetic) which contains a collection of his results in algebra.
De Moivre uses trigonometric functions to represent complex numbers in the form $r(\cos x + i \sin x)$ .

1708

La Hire calculates the length of the cardioid. (See this Famous curve.)

1710

Arbuthnot publishes an important statistics paper in the Royal Society which discusses the slight excess of male births over female births. This paper is the first application of probability to social statistics.

1711

Giovanni Ceva publishes De Re Nummeraria (Concerning Money Matters) which is one of the first works in mathematical economics.

1713

Jacob Bernoulli's book Ars conjectandi (The Art of Conjecture) is an important work on probability. It contains the Bernoulli numbers which appear in a discussion of the exponential series.

1715

Brook Taylor publishes Methodus incrementorum directa et inversa (Direct and Indirect Methods of Incrementation), an important contribution to the calculus. The book discusses singular solutions to differential equations, a change of variables formula, and a way of relating the derivative of a function to the derivative of the inverse function. There is also a discussion on vibrating strings.

1717

Johann Bernoulli declares that the principle of virtual displacement is applicable to all cases of equilibrium.

1718

Jacob Bernoulli's work on the calculus of variations is published after his death.
De Moivre publishes The Doctrine of Chances. The definition of statistical independence appears in this book together with many problems with dice and other games. He also investigated mortality statistics and the foundation of the theory of annuities.

1719

Brook Taylor publishes New principles of linear perspective. The first edition appeared four years earlier under the title Linear perspective. The work gives the first general treatment of vanishing points.