Notes on Counting: An Introduction to Enumerative Combinatorics

ISBN-13: 9781108404952 / Miękka / 2017 / 234 str.

Opis

An introduction to enumerative combinatorics, vital to many areas of mathematics. It is suitable as a class text or for individual study.

Recenzje

'Cameron's Notes on Counting is a clever introductory book on enumerative combinatorics … Overall, the text is well-written with a friendly tone and an aesthetic organization, and each chapter contains an ample number of quality exercises. Summing Up: Recommended.' A. Misseldine, CHOICE

Spis treści

1. Introduction; 2. Formal power series; 3. Subsets, partitions and permutations; 4. Recurrence relations; 5. The permanent; 6. q-analogues; 7. Group actions and cycle index; 8. Mobius inversion; 9. The Tutte polynomial; 10. Species; 11. Analytic methods: a first look; 12. Further topics; 13. Bibliography and further directions; Index.