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Synopsis
Analytic Combinatorics: A Multidimensional Approach is written in a reader-friendly fashion to better facilitate the understanding of the subject. Naturally, it is a firm introduction to the concept of analytic combinatorics and is a valuable tool to help readers better understand the structure and large-scale behavior of discrete objects. Primarily, the textbook is a gateway to the interactions between complex analysis and combinatorics. The study will lead readers through connections to number theory, algebraic geometry, probability and formal language theory.
The textbook starts by discussing objects that can be enumerated using generating functions, such as tree classes and lattice walks. It also introduces multivariate generating functions including the topics of the kernel method, and diagonal constructions. The second part explains methods of counting these objects, which involves deep mathematics coming from outside combinatorics, such as complex analysis and geometry.
Features
- Written with combinatorics-centric exposition to illustrate advanced analytic techniques
- Each chapter includes problems, exercises, and reviews of the material discussed in them
- Includes a comprehensive glossary, as well as lists of figures and symbols
About the author
Marni Mishna is a professor of mathematics at Simon Fraser University in British Columbia. Her research investigates interactions between discrete structures and many diverse areas such as representation theory, functional equation theory, and algebraic geometry. Her specialty is the development of analytic tools to study the large-scale behavior of discrete objects.
"synopsis" may belong to another edition of this title.
About the Author
Marni Mishna is a professor of mathematics at Simon Fraser University, BC, Canada
"About this title" may belong to another edition of this title.
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Analytic Combinatorics: A Multidimensional Approach
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Analytic Combinatorics : A Multidimensional Approach
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Analytic Combinatorics (Hardcover)
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Taylor & Francis Ltd, London, 2019
ISBN 10: 113848976X
ISBN 13: 9781138489769
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Hardcover. Condition: new. Hardcover. Analytic Combinatorics: A Multidimensional Approach is written in a reader-friendly fashion to better facilitate the understanding of the subject. Naturally, it is a firm introduction to the concept of analytic combinatorics and is a valuable tool to help readers better understand the structure and large-scale behavior of discrete objects. Primarily, the textbook is a gateway to the interactions between complex analysis and combinatorics. The study will lead readers through connections to number theory, algebraic geometry, probability and formal language theory. The textbook starts by discussing objects that can be enumerated using generating functions, such as tree classes and lattice walks. It also introduces multivariate generating functions including the topics of the kernel method, and diagonal constructions. The second part explains methods of counting these objects, which involves deep mathematics coming from outside combinatorics, such as complex analysis and geometry. Features Written with combinatorics-centric exposition to illustrate advanced analytic techniques Each chapter includes problems, exercises, and reviews of the material discussed in them Includes a comprehensive glossary, as well as lists of figures and symbols About the author Marni Mishna is a professor of mathematics at Simon Fraser University in British Columbia. Her research investigates interactions between discrete structures and many diverse areas such as representation theory, functional equation theory, and algebraic geometry. Her specialty is the development of analytic tools to study the large-scale behavior of discrete objects. This text offers an intuitive presentation to remove barriers to further study. The book will work through lattice path problems, where the more difficult points are combinatorial and build up to the more fine points of technique. The first half is more combinatorial, and works towards a comprehensive study of the Kernel method and diagonals. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781138489769
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Analytic Combinatorics: A Multidimensional Approach
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Analytic Combinatorics: A Multidimensional Approach (Discrete Mathematics and Its Applications)
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Chapman and Hall/CRC 2019-11-20, 2019
ISBN 10: 113848976X
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Analytic Combinatorics : A Multidimensional Approach
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Analytic Combinatorics : A Multidimensional Approach, 1st Edition
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Analytic Combinatorics: A Multidimensional Approach
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Analytic Combinatorics : A Multidimensional Approach, 1st Edition
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