Notes on Counting: An Introduction to Enumerative Combinatorics

Nonfiction, Science & Nature, Mathematics, Combinatorics, Discrete Mathematics
Cover of the book Notes on Counting: An Introduction to Enumerative Combinatorics by Peter J. Cameron, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Peter J. Cameron ISBN: 9781108278546
Publisher: Cambridge University Press Publication: June 21, 2017
Imprint: Cambridge University Press Language: English
Author: Peter J. Cameron
ISBN: 9781108278546
Publisher: Cambridge University Press
Publication: June 21, 2017
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Risk Management in the Outdoors by Peter J. Cameron
Cover of the book Engaging the Disengaged by Peter J. Cameron
Cover of the book Global Optimization Methods in Geophysical Inversion by Peter J. Cameron
Cover of the book Understanding Neuropsychiatric Disorders by Peter J. Cameron
Cover of the book Sophocles: Oedipus the King by Peter J. Cameron
Cover of the book Illegal Peace in Africa by Peter J. Cameron
Cover of the book Nations by Peter J. Cameron
Cover of the book The Destruction of Jerusalem in Early Modern English Literature by Peter J. Cameron
Cover of the book Constitutional Change through Euro-Crisis Law by Peter J. Cameron
Cover of the book The Cambridge Companion to Herodotus by Peter J. Cameron
Cover of the book Ibsen's Houses by Peter J. Cameron
Cover of the book The New Cambridge History of the Bible: Volume 2, From 600 to 1450 by Peter J. Cameron
Cover of the book Soil Mechanics by Peter J. Cameron
Cover of the book The Linguistics of Speech by Peter J. Cameron
Cover of the book Radar Meteorology by Peter J. Cameron
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy