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

저자: Thomas Hawkins
출판사: New York : Springer, ©2013.
시리즈: Sources and studies in the history of mathematics and physical sciences.
판/형식:   전자도서 : 문서 : 영어모든 판과 형식 보기
데이터베이스:WorldCat
요약:
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,  더 읽기…
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장르/형태: Electronic books
명시된 사람: Ferdinand Georg Frobenius
자료 유형: 문서, 인터넷 자료
문서 형식: 인터넷 자원, 컴퓨터 파일
모든 저자 / 참여자: Thomas Hawkins
ISBN: 9781461463337 1461463335
OCLC 번호: 854969970
설명: 1 online resource (698 pages).
내용: 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.
일련 제목: Sources and studies in the history of mathematics and physical sciences.
책임: Thomas Hawkins.
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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  더 읽기…

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From the reviews: "The author has succeeded admirably in describing the mathematical work of Frobenius. ... this book is an excellent contribution to the mathematical literature ... it is, or should 더 읽기…

 
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