Synopsis
Bijective proofs are some of the most elegant and powerful techniques in all of mathematics. Suitable for readers without prior background in algebra or combinatorics, Bijective Combinatorics presents a general introduction to enumerative and algebraic combinatorics that emphasizes bijective methods.
The text systematically develops the mathematical tools, such as basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear-algebraic methods, needed to solve enumeration problems. These tools are used to analyze many combinatorial structures, including words, permutations, subsets, functions, compositions, integer partitions, graphs, trees, lattice paths, multisets, rook placements, set partitions, Eulerian tours, derangements, posets, tilings, and abaci. The book also delves into algebraic aspects of combinatorics, offering detailed treatments of formal power series, symmetric groups, group actions, symmetric polynomials, determinants, and the combinatorial calculus of tableaux. Each chapter includes summaries and extensive problem sets that review and reinforce the material.
Lucid, engaging, yet fully rigorous, this text describes a host of combinatorial techniques to help solve complicated enumeration problems. It covers the basic principles of enumeration, giving due attention to the role of bijective proofs in enumeration theory.
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About the Author
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.
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Bijective Combinatorics.
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CRC Press, Boca Raton, London, New York, 2011
ISBN 10: 143984884X
ISBN 13: 9781439848845
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Hardcover
First Edition
Seller: Nicoline Thieme, Leipzig, Germany
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Condition: Sehr gut. 1. Aufl.;. 4° 590 pages with fig.; Orig.-Glanzfolienpappband; 1250g; [Deutsch]; fine 1. Auflage; _ x1x_. BUCH. Seller Inventory # 79157
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Bijective Combinatorics (Discrete Mathematics and Its Applications)
Seller: BookHolders, Towson, MD, U.S.A.
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Condition: Good. [ No Hassle 30 Day Returns ][ Ships Daily ] [ Underlining/Highlighting: NONE ] [ Writing: NONE ] [ Edition: first ] Publisher: Routledge Pub Date: 2/2/2011 Binding: Hardcover Pages: 612 first edition. Seller Inventory # 6927159