Analytic combinatorics: a multidimensional approach

by Mishna, Marni

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Title Statements

Full title :Analytic combinatorics : a multidimensional approach / Marni Mishna.

Summary

"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"--The publisher

Edition Statements

Publication Date:©2020

Publication Statements

Publisher(s):CRC Press, Taylor & Francis Group
Place of Publication:Boca Raton, FL
Language:eng
Publication Date:©2020

Notes

"A Chapman & Hall book."

The Physical Object

Description:xxi, 229 pages : : illustrations ; : 25 cm

Edition Identifiers

ISBN:113848976X, 9781138489769
oclc:on1105957165
LC Classification:QA164
Dewey Decimal:511.6

I. Enumerative combinatorics. A primer on combinatorial calculus ; Combinatorial parameters ; Derived and transcendental classes -- II. Methods for asymptotic analysis. Generating functions as analytic objects ; Parallel taxonomies ; Singularities of multivariable rational functions ; Integration and multivariable coefficient asymptotics ; Multiple points ; Partitions.