Combinatorics (Volume 2) - English Edition

Author: (USA) Stanley (Stanley, R.P.)
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Features: This book introduces generating function combinations, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The discussion on symmetric functions is suitable for introductory graduate courses and focuses on combinatorics, particularly the Robinson-Schensted-Knuth algorithm, as well as the connection between symmetric functions and representation theory. The appendix (written by Sergey Fomin) provides a deeper exploration of symmetric function theory, including jeu de taquin and Littlewood-Richardson rules. Additionally, the book contains numerous exercises with reference answers. It is the second volume of the two-volume introduction to the foundations of counting combinatorics, suitable for graduate students and mathematicians.