Mathematician:Carl Gustav Jacob Jacobi

Prolific Prussian mathematician, now most famous for his work with the elliptic functions.

Nationality
Prussian

History

 * Born: 10 Dec 1804, Potsdam, Prussia (now Germany)
 * Died: 18 Feb 1851, Berlin, Germany

Theorems and Definitions

 * Jacobi's Formula
 * Jacobi Field
 * Jacobi Inversion Problem
 * Jacobi Polynomials
 * Carathéodory-Jacobi-Lie Theorem (with Constantin Carathéodory and Sophus Lie)
 * Jacobi Method
 * Jacobi Eigenvalue Algorithm
 * Jacobi Rotation
 * Jacobi Form
 * Jacobi Group
 * Jacobi Theta Function
 * Jacobi Identity
 * Super Jacobi Identity
 * Jacobi Integral
 * Jacobi Symbol
 * Jacobian

Books and Papers

 * 1829: Fundamenta nova theoriae functionum ellipticarum
 * 1832: Commentatio de transformatione integralis duplicis indefiniti in formam simpliciorem
 * 1834: De usu legitimo formulae summatoriae Maclaurinianae
 * 1836: Sur le movement d'un point et sur un cas particulier du problème des trois corps (in which the Jacobi Integral is introduced)
 * 1839: Canon arithmeticus
 * 1841: De determinantibus functionalibus (in which the Jacobian is introduced)
 * 1846 - 1857: Opuscula mathematica

Also see

 * : Chapter $\text{XVIII}$