The Mathematics of Frobenius in Context A Journey Through 18th to 20th Century Mathematics /

• Main Author: Hawkins, Thomas. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Sources and Studies in the History of Mathematics and Physical Sciences,
• Subjects: Mathematics.; Matrix theory.; History of Mathematical Sciences.; Linear and Multilinear Algebras, Matrix Theory.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-6333-7

Frobenius is best known as creator of the theory of group characters and representations, but his name is attached to a multitude of theorems and concepts from a broad spectrum of mathematical disciplines. In this book his mathematics�is presented in context in two senses. The first provides the r...

Table of Contents:

• 1. A Berlin Education
• 2. Professor at the Zurich Polytechnic
• 3. Berlin Professor
• 4. The Paradigm
• 5. Further Development of the Paradigm
• 6. The Problem of Pfaff
• 7. The Cayley-Hermite Problem and Matrix Algebra
• 8. Arithmetical Investigations: Linear Algebra
• 9. Arithmetical Investigations: Groups
• 10. Abelian Functions
• 11. Frobenius' Generalized Theory of Theta Functions
• 12. The Group Determinant Problem
• 13. Group Characters and Representations
• 14. Alternate Routes to Representation Theory
• 15. Characters and Representations after 1897
• 16. Loose Ends
• 17. Nonnegative Matrices
• 18. The Mathematics of Frobenius in Retrospect
• References
• Index.