Substitutional Analysis

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Substitutional Analysis by Daniel  Edwin Rutherford, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Daniel Edwin Rutherford ISBN: 9780486316338
Publisher: Dover Publications Publication: June 3, 2013
Imprint: Dover Publications Language: English
Author: Daniel Edwin Rutherford
ISBN: 9780486316338
Publisher: Dover Publications
Publication: June 3, 2013
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Neutrons, Nuclei and Matter by Daniel  Edwin Rutherford
Cover of the book Son of Gun in Cheek by Daniel  Edwin Rutherford
Cover of the book Essential German Grammar by Daniel  Edwin Rutherford
Cover of the book Introduction to French Poetry by Daniel  Edwin Rutherford
Cover of the book A First Course in Geometry by Daniel  Edwin Rutherford
Cover of the book The Last of the Mohicans by Daniel  Edwin Rutherford
Cover of the book Kwaidan by Daniel  Edwin Rutherford
Cover of the book Ten Nights Dreaming by Daniel  Edwin Rutherford
Cover of the book Five Great German Short Stories by Daniel  Edwin Rutherford
Cover of the book Games, Theory and Applications by Daniel  Edwin Rutherford
Cover of the book A History of Mechanical Inventions by Daniel  Edwin Rutherford
Cover of the book Designs and Patterns from Historic Ornament by Daniel  Edwin Rutherford
Cover of the book Chinese Domestic Furniture in Photographs and Measured Drawings by Daniel  Edwin Rutherford
Cover of the book Big Book of Magic Tricks by Daniel  Edwin Rutherford
Cover of the book The Soul of Wit by Daniel  Edwin Rutherford
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy