9780521789875
Enumerative Combinatorics, Volume 2 - Richard P. Stanley
Cambridge University Press (2001)
In Collection
#6433

Read It:
Yes
Combinatorial enumeration problems, Mathematics / Combinatorics, Mathematics / Functional Analysis, Medical / General, Problemas Combinatorios De Enumeración

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 There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results.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.

Product Details
LoC Classification QA164.8 .S73 2001
Dewey 511
Format Paperback
Cover Price 55,00 €
No. of Pages 594
Height x Width 230 x 154 mm