Notes on counting an introduction to enumerative combinatorics
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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| Format: | Buch |
| Sprache: | English |
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Cambridge
Cambridge University Press
[2017]
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| Schriftenreihe: | Australian Mathematical Society lecture series
26 |
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Datensatz im Suchindex
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| author | Cameron, Peter J. 1947- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.62 |
| dewey-search | 511/.62 |
| dewey-sort | 3511 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV044515182 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:54:42Z |
| institution | BVB |
| isbn | 9781108404952 9781108417365 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029914868 |
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| physical | xii, 222 Seiten |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Australian Mathematical Society lecture series |
| series2 | Australian Mathematical Society lecture series |
| spelling | Cameron, Peter J. 1947- Verfasser (DE-588)120275929 aut Notes on counting an introduction to enumerative combinatorics Peter J. Cameron Cambridge Cambridge University Press [2017] © 2017 xii, 222 Seiten txt rdacontent n rdamedia nc rdacarrier Australian Mathematical Society lecture series 26 Title from publisher's bibliographic system (viewed on 07 Jul 2017) 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 Combinatorial analysis Mathematical analysis Numeration Abzählende Kombinatorik (DE-588)4132720-2 gnd rswk-swf Abzählende Kombinatorik (DE-588)4132720-2 s DE-604 Erscheint auch als Online-Ausgabe 978-1-108-27745-7 Australian Mathematical Society lecture series 26 (DE-604)BV001902595 26 |
| spellingShingle | Cameron, Peter J. 1947- Notes on counting an introduction to enumerative combinatorics Australian Mathematical Society lecture series Combinatorial analysis Mathematical analysis Numeration Abzählende Kombinatorik (DE-588)4132720-2 gnd |
| subject_GND | (DE-588)4132720-2 |
| 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 |
| topic | Combinatorial analysis Mathematical analysis Numeration Abzählende Kombinatorik (DE-588)4132720-2 gnd |
| topic_facet | Combinatorial analysis Mathematical analysis Numeration Abzählende Kombinatorik |
| volume_link | (DE-604)BV001902595 |
| work_keys_str_mv | AT cameronpeterj notesoncountinganintroductiontoenumerativecombinatorics |