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The mathematics of Frobenius in context : a journey through 18th to 20th century mathematics

Author: Thomas Hawkins
Publisher: New York [u.a.] : Springer, 2013.
Series: Sources and studies in the history of mathematics and physical sciences
Edition/Format:   Computer file : EnglishView all editions and formats
Database:WorldCat
Summary:

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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Details

Named Person: Georg Frobenius
Material Type: Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Thomas Hawkins
ISBN: 9781461463320 1461463327 9781461463337 1461463335
OCLC Number: 874362996
Description: XIII, 699 S. : graph. Darst.
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
Responsibility: Thomas Hawkins.

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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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