Ferdinand Georg Frobenius | |
|---|---|
.jpg) Ferdinand Georg Frobenius | |
| Born | 26 October 1849 |
| Died | 3 August 1917 (aged 67) Berlin, Kingdom of Prussia, German Empire |
| Nationality | German |
| Alma mater | University of Göttingen University of Berlin |
| Known for | Differential equations Group theory Cayley–Hamilton theorem Frobenius method Frobenius matrix Frobenius inner product |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Berlin ETH Zurich |
| Doctoral advisor | Karl Weierstrass Ernst Kummer |
| Doctoral students | Richard Fuchs Edmund Landau Issai Schur Konrad Knopp Walter Schnee |
Ferdinand Georg Frobenius (26 October 1849 – 3 August 1917) was a German mathematician, best known for his contributions to the theory of elliptic functions, differential equations, number theory, and to group theory. He is known for the famous determinantal identities, known as Frobenius–Stickelberger formulae, governing elliptic functions, and for developing the theory of biquadratic forms. He was also the first to introduce the notion of rational approximations of functions (nowadays known as Padé approximants), and gave the first full proof for the Cayley–Hamilton theorem. He also lent his name to certain differential-geometric objects in modern mathematical physics, known as Frobenius manifolds.