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

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 prov...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hawkins, Thomas (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Sources and Studies in the History of Mathematics and Physical Sciences,
Temas:
Mathematics.
History.
Algebras, Linear.
History of Mathematical Sciences.
Linear Algebra.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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