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Substitutional Analysis by Daniel Rutherford at Abbey's Bookshop,
Substitutional Analysis
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Daniel Rutherford

Substitutional Analysis

Daniel Rutherford

$23.95

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English
Dover
17 April 2013
Mathematics & Sciences; Algebra
Series: Dover Books on Mathema 1.4tics
"This classic monograph on representation theory and the symmetric group is suitable for advanced undergraduates and graduate students of mathematics. The Bulletin of the American Mathematical Society hailed Daniel Edwin Rutherford's treatment as """"a long overdue account of Young's representation theory of the symmetric group,"""" noting that """"many of Young's complicated proofs have been simplified through a free use of mathematical induction.""""Starting with an elementary overview of the theory of the symmetric group, the book proceeds to an examination of Young's formula, followed by an introduction to the fundamental notion of a standard diagram. Subsequent chapters present the passage to orthogonal and natural representations. No prior knowledge of the general theory of group characters is assumed, and the author deduces the necessary theory for the symmetric group. The final chapter illustrates the substitutional aspect of the theory, and a helpful appendix and bibliography conclude the text."
By:  
Imprint:   Dover
Country of Publication:   United States
Dimensions:   Height: 228mm,  Width: 152mm,  Spine: 6mm
Weight:   149g
ISBN:   9780486491202
ISBN 10:   048649120X
Series:   Dover Books on Mathema 1.4tics
Pages:   112
Publication Date:  
Audience:   General/trade ,  ELT Advanced
Format:   Paperback
Publisher's Status:   Unspecified
Preface Introduction I. The Calculus of Permutations II. The Calculus of Tableaux III. The Semi-normal Representations IV. The Orthogonal and Natural Representations V. Group Characters VI. Substitutional Equations Appendix: Tables for the Case n = 3 Bibliography Index

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