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Combinatorics, Second Edition by Nicholas A. Loehr is a nonfiction available to read on EtoBox.

What is Combinatorics, Second Edition about?

"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 t

Who reads Combinatorics, Second Edition?

Author

Nicholas A. Loehr

Publisher

Chapman and Hall/CRC

Published

2017

Language

EN

ISBN

9781498780254

Category

nonfiction

Subjects

Mathematics, Stem