Zustellung: Mo, 27.10. - Do, 30.10.
Versand in 7 Tagen
VersandkostenfreiFrobenius made many important contributions to mathematics in thelatter part of the 19th century. Hawkins here focuses on his work inlinear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discussesthe Berlin school of mathematics and the guiding force of Weierstrassin that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laidthe groundwork for Frobenius's work in linear algebra. The bookconcludes with a discussion of Frobenius's contribution to the theoryof stochastic matrices.
Inhaltsverzeichnis
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.
Mehr aus dieser Reihe
Produktdetails
Erscheinungsdatum
23. Juli 2013
Sprache
englisch
Seitenanzahl
716
Reihe
Mathematics and Statistics (R0)
Autor/Autorin
Thomas Hawkins
Illustrationen
XIII, 699 p.
Verlag/Hersteller
Produktart
gebunden
Abbildungen
XIII, 699 p.
Gewicht
1226 g
Größe (L/B/H)
241/160/42 mm
ISBN
9781461463320
Entdecken Sie mehr
Pressestimmen
From the book reviews:
I highly recommend Hawkins book. It is very mathematical all the way through. Hawkins work is extraordinarily useful. It allows the mathematical community, even the great majority of us who do not read German well, to understand the work of the very important mathematician Frobenius. The great length of the book is essential to the book s success. (David P. Roberts, MAA Reviews, October, 2014)
The author has succeeded admirably in describing the mathematical work of Frobenius. this book is an excellent contribution to the mathematical literature it is, or should be, a role model for historical writing, and for bringing the mathematics of the recent past back to life. (Franz Lemmermeyer, zbMATH, Vol. 1281, 2014)
Bewertungen
0 Bewertungen
Es wurden noch keine Bewertungen abgegeben. Schreiben Sie die erste Bewertung zu "The Mathematics of Frobenius in Context" und helfen Sie damit anderen bei der Kaufentscheidung.