Mishna, Marni

Analytic Combinatorics: A Multidimensional Approach (Discrete Mathematics and Its Applications)

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ISBN 13:
9781032475134
author:
Mishna, Marni
format:
Paperback
publisher:
CRC Press
language:
English
Publication Year:
2023
Pages:
252
Dimensions:
23.2 x 15 x 1.8 centimetres (0.5
Genre:
Science, Mathematics, General,
Condition:
New
Availability:
Item usually sent within 10 working days
£54.09

Description

Analytic Combinatorics: A Multidimensional Approach is a reader-friendly introduction to the concept of analytic combinatorics. It explores the interactions between complex analysis and combinatorics, connecting to number theory, algebraic geometry, probability, and formal language theory.

The book starts by discussing objects that can be enumerated using generating functions, such as tree classes and lattice walks, before introducing multivariate generating functions including kernel methods and diagonal constructions. It then explains methods of counting these objects, involving advanced mathematics from outside combinatorics.

With a focus on combinatorics-centric exposition to illustrate analytic techniques, the book includes problems, exercises, and reviews of material discussed in each chapter. A comprehensive glossary, lists of figures and symbols, and expert author background make this textbook a valuable resource for understanding the structure and large-scale behavior of discrete objects.

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