The Mathematics of Frobenius in Context

Part I. Overview of Frobenius’ Career and Mathematics

1. A Berlin Education
Thomas Hawkins

2. Professor at the Zurich Polytechnic: 1874–1892
Thomas Hawkins

3. Berlin Professor: 1892–1917
Thomas Hawkins

Part II. Berlin-Style Linear Algebra

4. The Paradigm: Weierstrass’ Memoir of 1858
Thomas Hawkins

5. Further Development of the Paradigm: 1858–1874
Thomas Hawkins

Part III. The Mathematics of Frobenius

6. The Problem of Pfaff
Thomas Hawkins

7. The Cayley–Hermite Problem and Matrix Algebra
Thomas Hawkins

8. Arithmetic Investigations: Linear Algebra
Thomas Hawkins

9. Arithmetic Investigations: Groups
Thomas Hawkins

10. Abelian Functions: Problems of Hermite and Kronecker
Thomas Hawkins

11. Frobenius’ Generalized Theory of Theta Functions
Thomas Hawkins

12. The Group Determinant Problem
Thomas Hawkins

13. Group Characters and Representations 1896–1897
Thomas Hawkins

14. Alternative Routes to Representation Theory
Thomas Hawkins

15. Characters and Representations After 1897
Thomas Hawkins

16. Loose Ends
Thomas Hawkins

17. Nonnegative Matrices
Thomas Hawkins

18. The Mathematics of Frobenius in Retrospect
Thomas Hawkins

Keywords: Mathematics, History of Mathematical Sciences, Linear and Multilinear Algebras, Matrix Theory