Description: Notes on Counting: An Introduction to Enumerative Combinatorics An introduction to enumerative combinatorics, vital to many areas of mathematics. It is suitable as a class text or for individual study. Peter J. Cameron (Author) 9781108404952, Cambridge University Press Paperback, published 21 June 2017 234 pages 22.7 x 15.2 x 1.3 cm, 0.35 kg '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 Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, which stems from many years' experience of teaching, invites students into the subject and prepares them for more advanced texts. It is suitable as a class text or for individual study. The author provides proofs for many of the theorems to show the range of techniques available, and uses examples to link enumerative combinatorics to other areas of study. The main section of the book introduces the key tools of the subject (generating functions and recurrence relations), which are then used to study the most important combinatorial objects, namely subsets, partitions, and permutations of a set. Later chapters deal with more specialised topics, including permanents, SDRs, group actions and the Redfield–Pólya theory of cycle indices, Möbius inversion, the Tutte polynomial, and species. 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. Subject Areas: Combinatorics & graph theory [PBV], Discrete mathematics [PBD]
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BIC Subject Area 1: Combinatorics & graph theory [PBV]
BIC Subject Area 2: Discrete mathematics [PBD]
Item Height: 227mm
Item Width: 152mm
Author: Peter J. Cameron
Publication Name: Notes on Counting: an Introduction to Enumerative Combinatorics
Format: Paperback
Language: English
Publisher: Cambridge University Press
Subject: Mathematics
Publication Year: 2017
Type: Textbook
Item Weight: 350g
Number of Pages: 234 Pages
