Mathematician:Carl Gustav Jacob Jacobi

Mathematician
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 Eigenvalue Algorithm
 * Jacobi's Formula
 * Jacobi Identity
 * Super Jacobi Identity
 * Jacobi Integral
 * Jacobi Inversion Problem
 * Jacobi's Iterative Method
 * Jacobi's Necessary Condition
 * Jacobi Rotation
 * Jacobi's Theorem


 * Jacobi Field
 * Jacobi Form
 * Jacobi Group
 * Jacobi Polynomials
 * Jacobi Symbol
 * Jacobi Theta Function


 * Jacobian
 * Jacobian Matrix
 * Jacobian Determinant


 * Carathéodory-Jacobi-Lie Theorem (with and )
 * Hamilton-Jacobi Equation (with )
 * Jacobi-Lie Bracket (with )

Publications

 * 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
 * 1846 - 1857: Opuscula mathematica

Notable Quotes

 * The sole aim of science is the honor of the human mind,
 * and from this point of view
 * a question about numbers
 * is as important
 * as a question about the system of the world.
 * -- to


 * God ever arithmetises. (1936)
 * -- Quoted in : They Say: What Say They? : Let Them Say