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 Much Ado About Nothing by Daniel  Edwin Rutherford
Cover of the book The Convolution Transform by Daniel  Edwin Rutherford
Cover of the book Whittling and Woodcarving by Daniel  Edwin Rutherford
Cover of the book Introduction to Fluid Dynamics by Daniel  Edwin Rutherford
Cover of the book Duncan's Ritual of Freemasonry by Daniel  Edwin Rutherford
Cover of the book The Art of War by Daniel  Edwin Rutherford
Cover of the book Easy Mission-Style Woodworking Projects by Daniel  Edwin Rutherford
Cover of the book Lyric Poems by Daniel  Edwin Rutherford
Cover of the book The Four Books of Architecture by Daniel  Edwin Rutherford
Cover of the book The Pyrgic Puzzler by Daniel  Edwin Rutherford
Cover of the book Knitting for Anarchists by Daniel  Edwin Rutherford
Cover of the book Introduction to Modern Algebra and Matrix Theory by Daniel  Edwin Rutherford
Cover of the book The Immortal Games of Capablanca by Daniel  Edwin Rutherford
Cover of the book 2,001 Most Useful Spanish Words by Daniel  Edwin Rutherford
Cover of the book Gravitational Curvature 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