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

著者: Thomas Hawkins
出版: New York : Springer, ©2013.
シリーズ: Sources and studies in the history of mathematics and physical sciences.
エディション/フォーマット:   電子書籍 : Document : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
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,  続きを読む
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ジャンル/形式: Electronic books
History
その他のフォーマット: Print version:
関連の人物: Ferdinand Georg Frobenius; Ferdinand Georg Frobenius
資料の種類: Document, インターネット資料
ドキュメントの種類: インターネットリソース, コンピューターファイル
すべての著者/寄与者: Thomas Hawkins
ISBN: 9781461463337 1461463335 1461463327 9781461463320 9781299859098 1299859097
OCLC No.: 854969970
物理形態: 1 online resource (698 pages).
コンテンツ: 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.
シリーズタイトル: Sources and studies in the history of mathematics and physical sciences.
責任者: Thomas Hawkins.

概要:

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  続きを読む

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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 続きを読む

 
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