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Birthday: 10th Dec 1804

-Born in Potsdam, Prussia (now Germany)

-Family: Jewish, Wealthy

Father- Banker

Eldest Brother- Physicist

Early Education:

-Taught by uncle

-Gymnasium (Year one

allowed to graduate to

University) (Only 12 yrs. old)

University:

University of Berlin: Spring 1821

Jacobi researches Classics, Philosophy, and focuses in Mathematics

-begins research solving quintic equations by radicals (1821)

-studies Lagrange b/c of poor standards at University

Post University Research

The Life and Legend of Carl Gustav Jacob Jacobi

http://en.wikipedia.org/wiki/Joseph-Louis_Lagrange

-1823-24 Jacobi passed examinations to teach mathematics

-Can teach at prestigious Gymnasium in Berlin (Joachimsthal) but submits for doctoral dissertation to University of Berlin

-Habilitation Thesis (provides for him to teach= on iterated functions)

-Berlin Academy of Sciences in 1825 doesn't publish

-1825- converts to catholicism

http://www.cathnewsusa.com/2011/05/jewish-catholic-dialogue-discusses-sources-of-authority/

Early Career

-transferred to the University of Königsberg in 1826 (works with Neumann and Bessel)

-Develops Theory of Elliptic Functions based on four theta functions (alongside Niels Henrick Abel of Norway) (gains Legendre's interest)

-determines that the quotients of the theta functions yields the three Jacobian Elliptic Functions: sn z, cn z, and dn z (pub. 1829)

-1932= Hyperelliptic functions obtained by inverting Hyperelliptic integrals= develops Abelian Functions (complex functions of several variables)

Elliptic functions

by: Katelyn Luck

Period: S4

Mrs. Hazelton

Further Contributions:

Further Contributions:

Hamilton-Jacobi equation- created as a result of work with differential ens. and dynamics

Use: Study of Quantum and rational mechanics and their presentation

Figure 4: Differential of the action function as a function of variations and in the endpoint of an extremal world line.

-Concerning the Structure and Properties of Determinants (research in partial differential equations of the first order and how they could be applied to the differential equations of dynamics)

Use: Theory of Determinants and Invention of Functional Determinant for analytical Investigations

Further Contributions:

-proved if single-valued function of one variable is doubly periodic then the ratio of the periods is imaginary

-Jacobi Triple Product Formula (properties of theta functions)

Functional Determinant

Death:

-January 1851- catches influenza

-Dies 18th of Feb, 1851 after contracting Smallpox with little recovery period between illnesses in Berlin, Germany

http://www.usna.edu/Users/math/meh/jacobi.html

Bibliography:

Biography in Encyclopaedia Britannica. http://www.britannica.com/eb/article-9043197/Carl-Jacobi

"Carl Gustav Jacob Jacobi." Jacobi Biography. Web. 25 May 2015. http://www-history.mcs.st-and.ac.uk/Biographies/Jacobi.html

D Stander, Makers of modern mathematics : Carl Gustave Jacob Jacobi, Bull. Inst. Math. Appl. 24(1-2) (1988), 27-28.

J McCleary, On Jacobi's remarkable curve theorem, Historia Math. 21 (3) (1994), 377-385.

S S Demidov, On the history of the theory of first-order partial differential equations : C G J Jacobi's 'first method' (Russian), Istor.-Mat. Issled. 26 (1982), 137-153.

T Hawkins, Jacobi and the birth of Lie's theory of groups, in S S Demidov et al. (eds), Amphora : Festschrift for Hans Wussing on the occasion of his 65th birthday (Basel- Boston- Berlin, 1992), 289-313.

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