Combinatorial Reciprocity Theorems: An Invitation to Enumerative Geometric Combinatorics (Graduate Studies in Mathematics) - Hardcover
Synopsis
Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and suitably normalized). Such combinatorial reciprocity theorems occur in connections with graphs, partially ordered sets, polyhedra, and more. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics. Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Topics include concise introductions to partially ordered sets, polyhedral geometry, and rational generating functions, followed by highly original chapters on subdivisions, geometric realizations of partially ordered sets, and hyperplane arrangements.
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About the Author
Matthias Beck: San Francisco State University, San Francisco, CA, Raman Sanyal: Goethe-Universität Frankfurt, Frankfurt, Germany
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Combinatorial Reciprocity Theorems : An Invitation to Enumerative Geometric Combinatorics
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Combinatorial Reciprocity Theorems (Hardcover)
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American Mathematical Society, Providence, 2019
ISBN 10: 147042200X
ISBN 13: 9781470422004
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Hardcover. Condition: new. Hardcover. Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and suitably normalized). Such combinatorial reciprocity theorems occur in connections with graphs, partially ordered sets, polyhedra, and more. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics.Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Topics include concise introductions to partially ordered sets, polyhedral geometry, and rational generating functions, followed by highly original chapters on subdivisions, geometric realizations of partially ordered sets, and hyperplane arrangements. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics. Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781470422004
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Combinatorial Reciprocity Theorems An Invitation to Enumerative Geometric Combinatorics
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Combinatorial Reciprocity Theorems : An Invitation to Enumerative Geometric Combinatorics
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Combinatorial Reciprocity Theorems : An Invitation to Enumerative Geometric Combinatorics
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Combinatorial reciprocity theorems. An invitation to enumerative geometric combinatorics.
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Combinatorial Reciprocity Theorems (Hardcover)
Published by
American Mathematical Society, Providence, 2019
ISBN 10: 147042200X
ISBN 13: 9781470422004
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Hardcover. Condition: new. Hardcover. Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and suitably normalized). Such combinatorial reciprocity theorems occur in connections with graphs, partially ordered sets, polyhedra, and more. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics.Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Topics include concise introductions to partially ordered sets, polyhedral geometry, and rational generating functions, followed by highly original chapters on subdivisions, geometric realizations of partially ordered sets, and hyperplane arrangements. Using the combinatorial reciprocity theorems as a leitmotif, this book unfolds central ideas and techniques in enumerative and geometric combinatorics. Written in a friendly writing style, this is an accessible graduate textbook with almost 300 exercises, numerous illustrations, and pointers to the research literature. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9781470422004
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