Thomas Hawkins
Springer New York
e druk, 2015
9781489987006
The Mathematics of Frobenius in Context
A Journey Through 18th to 20th Century Mathematics
Specificaties
Paperback, blz.
|
Engels
Springer New York |
e druk, 2015
ISBN13: 9781489987006
Rubricering
Onderdeel van serie
Sources and Studies in the History of Mathematics and Physical Sciences
Levertijd ongeveer 8 werkdagen
Samenvatting
Frobenius made many important contributions to mathematics in the
latter part of the 19th century. Hawkins here focuses on his work in
linear algebra and its relationship with the work of Burnside, Cartan,
and Molien, and its extension by Schur and Brauer. He also discusses
the Berlin school of mathematics and the guiding force of Weierstrass
in that school, as well as the fundamental work of d'Alembert,
Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid
the groundwork for Frobenius's work in linear algebra. The book
concludes with a discussion of Frobenius's contribution to the theory
of stochastic matrices.
Specificaties
ISBN13:9781489987006
Taal:Engels
Bindwijze:paperback
Uitgever:Springer New York
Inhoudsopgave
<p>.-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.</p>