Combinatorics Hardback
by Nicholas (Virginia Technical University, Blacksburg, USA) Loehr
Part of the Discrete Mathematics and Its Applications series
Hardback
- Information
Description
Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics.
The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects.
The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics.
Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods.
These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more.
Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool.
Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.
Information
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:618 pages, 15 Tables, black and white; 203 Illustrations, black and white
- Publisher:Taylor & Francis Inc
- Publication Date:18/08/2017
- Category:
- ISBN:9781498780254
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Hardback
- Pages:618 pages, 15 Tables, black and white; 203 Illustrations, black and white
- Publisher:Taylor & Francis Inc
- Publication Date:18/08/2017
- Category:
- ISBN:9781498780254