| Document Type
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BL
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| Record Number
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667165
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| Doc. No
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dltt
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| Main Entry
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Hawkins, Thomas,1938-
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| Title & Author
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The mathematics of Frobenius in context : a journey through 18th to 20th Century mathematics /\ Thomas Hawkins
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| Publication Statement
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New York :: Springer,, c2013
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| Series Statement
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Sources and studies in the history of mathematics and physical sciences
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| Page. NO
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1 online resource (xiii, 699 p.)
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| ISBN
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1461463335 (electronic bk.)
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: 9781461463337 (electronic bk.)
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9781461463320
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| Bibliographies/Indexes
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Includes bibliographical references (p. 659-685) and index
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| Contents
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A Berlin Education -- Professor at the Zurich Polytechnic: 1874-1892 -- 3 Berlin Professor: 1892-1917 -- The Paradigm: Weierstrass' Memoir of 1858 -- Further Development of the Paradigm: 1858-1874 -- 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
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| Abstract
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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
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| Subject
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Frobenius, Ferdinand Georg,1849-1917
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| Subject
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Algebras, Linear-- History
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| Subject
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Mathematics-- History
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| Dewey Classification
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512.5
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| LC Classification
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QA184
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QA184
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| Added Entry
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Ohio Library and Information Network
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