Analytic Combinatorics (Hardcover)

Marni Mishna

ISBN 10: 113848976X / ISBN 13: 9781138489769

Edité par Taylor & Francis Ltd, London, 2019

A propos de cet article

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.

N° de réf. du vendeur 9781138489769

Détails bibliographiques

• Titre: Analytic Combinatorics (Hardcover)
• Éditeur: Taylor & Francis Ltd, London
• Date de parution: 2019
• Langue: anglais
• ISBN à 10 chiffres: 113848976X
• ISBN à 13 chiffres: 9781138489769
• Reliure: Hardcover
• État de l'article: new

A propos de ce titre

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.

À propos de l?auteur

Marni Mishna is a professor of mathematics at Simon Fraser University, BC, Canada