#### 1810

- Gergonne publishes the first volume of his new mathematics journal
*Annales de mathématique pures et appliquées* which became known as *Annales de Gergonne*.

#### 1811

- Poisson publishes
*Traité de mécanique* (*Treatise on Mechanics*). It includes Poisson's work on the applications of mathematics to topics such as electricity, magnetism and mechanics.

#### 1812

- Laplace publishes the two volumes of
*Théorie Analytique des probabilités* (*Analytical Theory of Probabilities*). The first book studies generating functions and also approximations to various expressions occurring in probability theory. The second book contains Laplace's definition of probability, Bayes's rule, and mathematical expectation.

#### 1814

#### 1815

- Peter Roget (the author of Roget's Thesaurus) invents the "log-log" slide rule.
- Pfaff publishes important work on what are now called "Pfaffian forms".

#### 1816

- Peacock, Herschel and Babbage are the leaders of the Analytical Society at Cambridge which publishes an English translation of Lacroix's textbook
*Traité de Calcul differéntiel et intégral*.

#### 1817

- Bessel discovers a class of integral functions, now called "Bessel functions", in his study of a problem of Kepler to determine the motion of three bodies moving under mutual gravitation.
- Bolzano publishes
*Rein analytischer Beweis* (*Pure Analytical Proof*) which contain an attempt to free calculus from the concept of the infinitesimal. He defines continuous functions without the use of infinitesimals. The work contains the Bolzano-Weierstrass theorem.

#### 1818

- Inspired by the work of Laplace, Adrain publishes Investigation of the figure of the Earth and of the gravity in different latitudes.

#### 1819

- Horner submits a paper giving "Horner's method" for solving algebraic equations to the Royal Society and was published in the same year in the Philosophical Transactions of the Royal Society.