Mathematician:Carl Gustav Jacob Jacobi
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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 Integral
- Jacobi Inversion Problem
- Jacobi's Necessary Condition
- Jacobi Rotation
- Jacobi's Theorem
- Jacobi Field
- Jacobi Form
- Jacobi Group
- Jacobi's Iterative Method (also known as just the Jacobi Method)
- Jacobi Polynomials
- Jacobi Symbol
- Carathéodory-Jacobi-Lie Theorem (with Constantin Carathéodory and Sophus Lie)
- Hamilton-Jacobi Equation (with William Rowan Hamilton)
- Jacobi-Lie Bracket (with Sophus Lie)
Results named for Carl Gustav Jacob Jacobi can be found here.
Definitions of concepts named for Carl Gustav Jacob Jacobi can be found here.
Publications
- 1829: Fundamenta Nova Theoriae Functionum Ellipticarum ("New Elements in the Theory of Elliptic Functions")
- 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)
- 1841: Zur combinatorischen Analysis (J. reine angew. Math. Vol. 22: pp. 372 – 374)
- 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.
- -- Epigraph to 1972: George F. Simmons: Differential Equations
- God ever arithmetises. (1936)
- -- Quoted in 1937: Eric Temple Bell: Men of Mathematics: They Say: What Say They? : Let Them Say
Sources
- John J. O'Connor and Edmund F. Robertson: "Carl Gustav Jacob Jacobi": MacTutor History of Mathematics archive
- 1937: Eric Temple Bell: Men of Mathematics ... (previous) ... (next): They Say: What Say They? : Let Them Say
- 1937: Eric Temple Bell: Men of Mathematics: Chapter $\text{XVIII}$
- 1972: George F. Simmons: Differential Equations ... (next): Epigraph
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Jacobi, Carl Gustav Jacob (1804-51)
- 1991: David Wells: Curious and Interesting Geometry ... (previous) ... (next): A Chronological List Of Mathematicians
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Jacobi, Carl Gustav Jacob (1804-51)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Jacobi, Carl Gustav Jacob (1804-51)
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Jacobi, Carl Gustav Jacob (1804-51)
- 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): Jacobi, Carl Gustav Jacob (1804-51)