ProofWiki:Mathematicians/Carl Gustav Jacob Jacobi
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Prolific Prussian mathematician, now most famous for his work with the elliptic functions.
Contents |
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
- John J. O'Connor and Edmund F. Robertson: "Carl Gustav Jacob Jacobi": MacTutor History of Mathematics archive
- Eric Temple Bell: Men of Mathematics (1937): Chapter $\text{XVIII}$
