Algebraic Combinatorics: Walks, Trees, Tableaux, and More
Author:   Richard P. Stanley
Publisher:   Springer-Verlag New York Inc.
Edition:   2013 ed.
ISBN:  

9781489992857


Pages:   223
Publication Date:   08 July 2015
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Algebraic Combinatorics: Walks, Trees, Tableaux, and More


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Full Product Details

Author:   Richard P. Stanley
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2013 ed.
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   3.635kg
ISBN:  

9781489992857


ISBN 10:   1489992855
Pages:   223
Publication Date:   08 July 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

Preface.- Notation.- 1. Walks in graphs.- 2. Cubes and the Radon transform.- 3. Random walks.- 4. The Sperner property.- 5. Group actions on boolean algebras.- 6. Young diagrams and q-binomial coefficients.- 7. Enumeration under group action.- 8. A glimpse of Young tableaux.- Appendix. The RSK algorithm.- Appendix. Plane partitions.- 9. The Matrix–Tree Theorem.- Appendix. Three elegant combinatorial proofs.- 10. Eulerian diagraphs and oriented trees.- 11. Cycles, bonds, and electrical networks.- 12. Miscellaneous gems of algebraic combinatorics.- Hints.- References.

Reviews

The chosen topics represent a sample of enumerative combinatorics suitable for the elementary algebra available to an undergraduate student. ... This is a book that can be used to teach a topics course for senior undergraduates. It will help them to solidify their just-acquired abstract algebra and at the same it will introduce them to some beautiful topics in pure or applied combinatorics. (Felipe Zaldivar, MAA Reviews, maa.org, December, 2015) This gentle book provides the perfect stepping-stone up. The various chapters treat diverse topics ... . Stanley's emphasis on `gems' unites all this--he chooses his material to excite students and draw them into further study. ... Summing Up: Highly recommended. Upper-division undergraduates and above. (D. V. Feldman, Choice, Vol. 51 (8), April, 2014)


From the reviews: This gentle book provides the perfect stepping-stone up. The various chapters treat diverse topics ... . Stanley's emphasis on 'gems' unites all this--he chooses his material to excite students and draw them into further study. ... Summing Up: Highly recommended. Upper-division undergraduates and above. (D. V. Feldman, Choice, Vol. 51 (8), April, 2014)


Author Information

Professor Richard Stanley is one of the most well-known algebraic combinatorists in the world. He is currently professor of Applied Mathematics at the Massachusetts Institute of Technology. Amongst his several visiting professorships, Stanley has received numerous awards including the George Polya Prize in Applied Combinatorics, Guggenheim Fellowship, admission to both the American Academy and National Academies of Sciences, Leroy P. Steele Prize for Mathematical Exposition, Rolf Schock Prize in Mathematics, Senior Scholar at Clay Mathematics Institute, Aisenstadt Chair, Honorary Doctor of Mathematics from the University of Waterloo, and an honorary professorship at the Nankai University. Professor Stanley has had over 50 doctoral students and is well known for his excellent teaching skills. Stanley’s list of publications amount to over 155.

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