Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2017
|
| Schriftenreihe: | Australian Mathematical Society Lecture Series
26 |
| Links: | https://doi.org/10.1017/9781108277457 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xii, 222 Seiten) |
| ISBN: | 9781108277457 |
Internformat
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| spelling | Cameron, Peter J. Notes on counting an introduction to enumerative combinatorics Peter J. Cameron Cambridge Cambridge University Press 2017 1 Online-Ressource (xii, 222 Seiten) txt c cr Australian Mathematical Society Lecture Series 26 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. Erscheint auch als Druck-Ausgabe 9781108404952 Erscheint auch als Druck-Ausgabe 9781108417365 |
| spellingShingle | Cameron, Peter J. Notes on counting an introduction to enumerative combinatorics |
| title | Notes on counting an introduction to enumerative combinatorics |
| title_auth | Notes on counting an introduction to enumerative combinatorics |
| title_exact_search | Notes on counting an introduction to enumerative combinatorics |
| title_full | Notes on counting an introduction to enumerative combinatorics Peter J. Cameron |
| title_fullStr | Notes on counting an introduction to enumerative combinatorics Peter J. Cameron |
| title_full_unstemmed | Notes on counting an introduction to enumerative combinatorics Peter J. Cameron |
| title_short | Notes on counting |
| title_sort | notes on counting an introduction to enumerative combinatorics |
| title_sub | an introduction to enumerative combinatorics |
| work_keys_str_mv | AT cameronpeterj notesoncountinganintroductiontoenumerativecombinatorics |