Loehr, Nicholas

Combinatorics (Discrete Mathematics and Its Applications)

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ISBN 13:
9781032476711
author:
Loehr, Nicholas
format:
Paperback
publisher:
Chapman & Hall/CRC
language:
English
Publication Year:
2023
Pages:
642
Dimensions:
25.4 x 17.8 x 3.3 centimetres (1
Genre:
Science, Mathematics, General,
Condition:
New
Availability:
Item usually sent within 10 working days
£54.09

Description

Combinatorics by Nicholas Loehr provides a comprehensive introduction to enumerative, bijective, and algebraic combinatorics. The textbook focuses on bijective proofs, offering elegant solutions to counting problems through one-to-one correspondences between two sets of objects. The book develops an array of mathematical tools to solve counting problems, including basic counting rules, recursions, inclusion-exclusion techniques, generating functions, and linear algebraic methods. These tools are used to analyze various combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and more. The second edition includes greater coverage of ordinary and exponential generating functions as a problem-solving tool, along with two new chapters, several new sections, and improved exposition throughout. The book features many examples and exercises of varying difficulty to support its comprehensive approach to combinatorics.

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