Description 
1 online resource (698 pages) 
Series 
Sources and Studies in the History of Mathematics and Physical Sciences 

Sources and studies in the history of mathematics and physical sciences.

Contents 
Overview of Frobenius' Career and Mathematics. A Berlin Education  Professor at the Zurich Polytechnic: 18741892  Berlin Professor: 18921917  BerlinStyle Linear Algebra. The Paradigm: Weierstrass' Memoir of 1858  Further Development of the Paradigm: 18581874  The Mathematics of Frobenius. The Problem of Pfaff  The CayleyHermite 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 18961897  Alternative Routes to Representation Theory  Characters and Representations After 1897  Loose Ends  Nonnegative Matrices  The Mathematics of Frobenius in Retrospect 
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, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Frobenius, Ferdinand Georg, 18491917.


Algebras, Linear  History.


Mathematics  History.

Genre/Form 
History.

Form 
Electronic book

ISBN 
1299859097 (electronic bk.) 

1461463327 

1461463335 (electronic bk.) 

9781299859098 (electronic bk.) 

9781461463320 

9781461463337 (electronic bk.) 
