Notes on Counting: An Introduction to Enumerative Combinatorics

Informationen zum Autor Peter J. Cameron is a Professor in the School of Mathematics and Statistics at the University of St Andrews, Scotland. Much of his work has centred on combinatorics and, since 1992, he has been Chair of the British Combinatorial Committee. He has also worked in group and semigroup theory, model theory, and other subjects such as statistical mechanics and measurement theory. Peter J. Cameron is the recipient of the Senior Whitehead Prize of 2017 from the London Mathematical Society. Klappentext An introduction to enumerative combinatorics, vital to many areas of mathematics. It is suitable as a class text or for individual study. Zusammenfassung Enumerative combinatorics! in its algebraic and analytic forms! is vital to many areas of mathematics! from model theory to statistical mechanics. This book! drawn from many years 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. Inhaltsverzeichnis 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.

Product details

• Authors: Peter J. Cameron, Peter J. (University of St Andrews Cameron, Cameron Peter J.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.12.2017
• EAN: 9781108417365
• ISBN: 978-1-108-41736-5
• No. of pages: 234
• Series: Australian Mathematical Society Lecture Series; Australian Mathematical Societ; Australian Mathematical Societ; Australian Mathematical Society Lecture Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Discrete Mathematics, MATHEMATICS / Combinatorics, Discrete Mathematics, Combinatorics & graph theory, Combinatorics and graph theory