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

Format:

Book

Author/Creator:

Hawkins, Thomas, 1938-

Series:

Sources and studies in the history of mathematics and physical sciences

Sources and Studies in the History of Mathematics and Physical Sciences

Language:

English

Subjects (All):

Frobenius, Ferdinand Georg, 1849-1917.

Frobenius, Ferdinand Georg.

Algebras, Linear--History.

Algebras, Linear.

Mathematics--History.

Mathematics.

Genre:

History

Physical Description:

1 online resource

Place of Publication:

New York Springer ©2013

Language Note:

English

System Details:

text file PDF

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

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

Notes:

Includes bibliographical references and index

Print version record

Other Format:

Print version:

ISBN:

9781461463337

1461463335

1461463327

9781461463320

9781299859098

1299859097

OCLC:

854969970

Access Restriction:

Restricted for use by site license