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Richard P. Stanley
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Enumerative Combinatorics, Volume 2 Reprint Edition

by Richard P. Stanley (Author), Sergey Fomin (Contributor)
5.0 5.0 out of 5 stars 8 ratings
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This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on combinatorics, and includes the important Robinson-Schensted-Knuth algorithm. Also covered are connections between symmetric functions and representation theory. An appendix by Sergey Fomin covers some deeper aspects of symmetric function theory, including jeu de taquin and the Littlewood-Richardson rule. As in Volume 1, the exercises play a vital role in developing the material. There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.

Review

"...sure to become a standard as an introductory graduate text in combinatorics."
Bulletin of the AMS"

"As a researcher, Stanley has few peers in combinatorics...the trove of exercises with solutions will form a vital resource; indeed, exercise 6.19 on the Catalan numbers, in 66 (!) parts, justifies the investment by itself. Both volumes highly recommended for all libraries."
Choice

"Volume 2 not only lives up to the high standards set by Volume 1, but surpasses them... Stanley's book is a valuable contribution to enumerative combinatorics. Beginners will find it an accessible introduction to the subject, and experts will still find much to learn from it."
Mathematical Reviews

Book Description

An introduction, suitable for beginning graduate students, showing connections to other areas of mathematics.
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  1. ISBN-10
    0521560691
  2. ISBN-13
    978-0521560696
  3. Edition
    Reprint
  4. Publisher
    Cambridge University Press
  5. Publication date
    January 13, 1999
  6. Language
    English
  7. Dimensions
    6.5 x 1.5 x 9.5 inches
  8. Print length
    600 pages
  9. See all details
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Product details

  • Publisher ‏ : ‎ Cambridge University Press; Reprint edition (January 13, 1999)
  • Language ‏ : ‎ English
  • Hardcover ‏ : ‎ 600 pages
  • ISBN-10 ‏ : ‎ 0521560691
  • ISBN-13 ‏ : ‎ 978-0521560696
  • Item Weight ‏ : ‎ 2.3 pounds
  • Dimensions ‏ : ‎ 6.5 x 1.5 x 9.5 inches
  • Customer Reviews:
    5.0 5.0 out of 5 stars 8 ratings

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Richard P. Stanley

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5 out of 5 stars
5 out of 5
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Sam Clemens
5.0 out of 5 stars The standard introduction to symmetric function theory
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