Notes on counting : an introduction to enumerative combinatorics / Peter J. Cameron, University of St Andrews, Scotland.
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 s...
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| Online Access: |
Full Text (via Cambridge) |
|---|---|
| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
2017.
|
| Series: | Australian Mathematical Society lecture series ;
26. |
| Subjects: |
MARC
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| 100 | 1 | |a Cameron, Peter J., |e author. | |
| 245 | 1 | 0 | |a Notes on counting : |b an introduction to enumerative combinatorics / |c Peter J. Cameron, University of St Andrews, Scotland. |
| 264 | 1 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2017. | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (xii, 222 pages) : |b illustrations | ||
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| 490 | 1 | |a Australian Mathematical Society Lecture Series ; |v 26 | |
| 520 | |a 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. | ||
| 504 | |a Includes bibliographical references (pages 212-216) and index. | ||
| 505 | 0 | |a Introduction -- Formal power series -- Subsets, partitions and permutations -- Recurrence relations -- The permanent -- q-analogues -- Group actions and the cycle index -- Möbius inversion -- The Tutte polynomial -- Species -- Analytic methods: a first look -- Further topics -- Bibliography and further directions. | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Combinatorial analysis. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Numeration. | |
| 650 | 7 | |a Combinatorial analysis |2 fast | |
| 650 | 7 | |a Mathematical analysis |2 fast | |
| 650 | 7 | |a Numeration |2 fast | |
| 758 | |i has work: |a Notes on counting (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFXRTc9wCcw3j7kYyBXcfq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Cameron, Peter J. (Peter Jephson), 1947- |t Notes on counting. |d Cambridge, United Kingdom ; New York, NY, USA : Cambridge University Press, 2017 |z 9781108417365 |w (OCoLC)983186719 |
| 830 | 0 | |a Australian Mathematical Society lecture series ; |v 26. | |
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| 952 | f | f | |p Can circulate |a University of Colorado Boulder |b Online |c Online |d Online |h Library of Congress classification |i web |