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

Author: Thomas Hawkins
Publisher: Dordrecht Springer 2013
Series: Sources and Studies in the History of Mathematics and Physical Sciences
Edition/Format:   Print book : Document   Computer File : English : 1View all editions and formats
Database:WorldCat
Summary:
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,  Read more...
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Genre/Form: Online-Publikation
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: Thomas Hawkins
ISBN: 9781489987006 1489987002 9781461463337 1461463335
OCLC Number: 880408966
Description: 1 online resource (698 p.)
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.
Series Title: Sources and Studies in the History of Mathematics and Physical Sciences
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Abstract:

This book on focuses on the work of Ferdinand Frobenius in linear algebra, its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. Also covers the  Read more...

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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 Read more...

 
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