Table of Contents

Preface.- Permutations, Partitions, and Power Series.- Symmetric Functions.- Counting with the Elementary and Homogeneous.- Counting with a Nonstandard Basis.- Counting with RSK.- Counting Problems that Involve Symmetry.- Consecutive Patterns.- The Reciprocity Method.- Appendix: Transition Matrices.- References.- Index.

Reviews

“This book provides a current survey of techniques and applications of symmetric functions to enumeration theory, with emphasis on the combinatorics of the transition matrices between bases. … Each chapter ends with a substantial number of exercises along with full solutions, as well as accurate bibliographic notes. The book is definitely a very interesting addition to the literature on the subject.” (Domenico Senato, Mathematical Reviews, February, 2017)“Though the authors target graduate students, advanced undergraduates will also surely have the necessary prerequisites, easily grasp the book's goals, and find many chapters accessible. … Summing Up: Recommended. Upper-division undergraduates through professionals/practitioners.” (D. V. Feldman, Choice, Vol. 53 (12), September, 2016)