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

• Κύριος συγγραφέας: Hawkins, Thomas (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Σειρά: Sources and Studies in the History of Mathematics and Physical Sciences,
• Θέματα: Mathematics.; Matrix theory.; Algebra.; History.; History of Mathematical Sciences.; Linear and Multilinear Algebras, Matrix Theory.

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...

Πίνακας περιεχομένων:

• 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.