By Loehr, Nicholas. Emphasizing bijective methods, this introductory text details the tools needed to solve problems in enumerative combinatorics. These tools can be used to analyze many structures including words, permutations, functions, graphs, trees, and more. Later chapters delve into algebraic
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By Loehr, Nicholas. Emphasizing bijective methods, this introductory text details the tools needed to solve problems in enumerative combinatorics. These tools can be used to analyze many structures including words, permutations, functions, graphs, trees, and more. Later chapters delve into algebraic The text requires only a familiarity with basic logic, set theory, and proof techniques.
Nearly exercises, from routine verifications to unsolved problems, are included, many with solutions or hints. Read more. Nicholas A. Loehr teaches in the Department of Mathematics at Virginia Tech. His research interests include enumerative and algebraic combinatorics; symmetric and quasisymmetric functions; integer partitions, lattice paths, parking functions, and tableaux; bijective methods; and algorithm analysis. Subscribe now to be the first to hear about specials and upcoming releases. South Pacific.
Title Author. Bijective Combinatorics Hardback By Loehr, Nicholas Emphasizing bijective methods, this introductory text details the tools needed to solve problems in enumerative combinatorics. This book is the exception to that rule. I found this book engaging. The proofs are very clear, and in many cases several proofs are offered.
This book could serve several purposes. By focusing on the first half of the book, it could be an excellent choice for a first course in combinatorics for senior undergraduates. This is a very nice book that deserves serious consideration.
Author's Bio Nicholas A. Bijective Combinatorics. This preview is indicative only. The content shown may differ from the edition of this book sold on Wheelers. My Account Sign in Register. Out of Print. Pre-release title. On Special. Firm Sale. Internationally Sourced. In your basket. Large Print. Title Author Advanced Search. Discrete Mathematics and Its Applications part: A rule I have found to be true is that any book claiming to be suitable for beginners and yet leading to the frontiers of unsolved research problems does neither well.
A Bijective Proof of a Factorization Formula for Specialized Macdonald Polynomials
Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? 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.
Bijective Combinatorics by Nicholas Loehr pdf