Substitutional Analysis by Daniel Rutherford

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Substitutional Analysis by Daniel Rutherford

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Part of Dover Books On Mathema 14tics series

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Substitutional Analysis by Daniel Rutherford

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.

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Daniel Edwin Rutherford (1906-66) was Professor of Mathematics and Applied Mathematics at Scotland's University of St. Andrews. Substitutional Analysis is widely considered the most historically important of his many books.
SKU Unavailable
ISBN 13 9780486491202
ISBN 10 048649120X
Title Substitutional Analysis
Author Daniel Rutherford
Series Dover Books On Mathema 14tics
Condition Unavailable
Binding Type Paperback
Publisher Dover Publications Inc.
Year published 2013-05-31
Number of pages 112
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable