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

作者: Thomas Hawkins
出版商: New York : Springer, ©2013.
叢書: Sources and studies in the history of mathematics and physical sciences.
版本/格式:   電子書 : 文獻 : 英語所有版本和格式的總覽
資料庫:WorldCat
提要:
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,  再讀一些...
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類型/形式: Electronic books
提及的人: Ferdinand Georg Frobenius
資料類型: 文獻, 網際網路資源
文件類型: 網路資源, 電腦資料
所有的作者/貢獻者: Thomas Hawkins
ISBN: 9781461463337 1461463335 1461463327 9781461463320
OCLC系統控制編碼: 854969970
描述: 1 online resource (698 pages).
内容: 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.
叢書名: Sources and studies in the history of mathematics and physical sciences.
責任: Thomas Hawkins.

摘要:

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  再讀一些...

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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 再讀一些...

 
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