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

Author: Thomas Hawkins
Publisher: New York : Springer, ©2013.
Series: Sources and studies in the history of mathematics and physical sciences.
Edition/Format:   eBook : Document : EnglishView 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: Electronic books
Named Person: Ferdinand Georg Frobenius
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Thomas Hawkins
ISBN: 9781461463337 1461463335 1461463327 9781461463320
OCLC Number: 854969970
Description: 1 online resource (698 pages).
Contents: Overview of Frobenius' Career and Mathematics. A Berlin Education --
Professor at the Zurich Polytechnic: 1874-1892 --
Berlin Professor: 1892-1917 --
Berlin-Style Linear Algebra. The Paradigm: Weierstrass' Memoir of 1858 --
Further Development of the Paradigm: 1858-1874 --
The Mathematics of Frobenius. The Problem of Pfaff --
The Cayley-Hermite Problem and Matrix Algebra --
Arithmetic Investigations: Linear Algebra --
Arithmetic Investigations: Groups --
Abelian Functions: Problems of Hermite and Kronecker --
Frobenius' Generalized Theory of Theta Functions --
The Group Determinant Problem --
Group Characters and Representations 1896-1897 --
Alternative Routes to Representation Theory --
Characters and Representations After 1897 --
Loose Ends --
Nonnegative Matrices --
The Mathematics of Frobenius in Retrospect.
Series Title: Sources and studies in the history of mathematics and physical sciences.
Responsibility: Thomas Hawkins.

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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