Analytic Combinatorics in Several Variables (Hardcover)

Robin Pemantle

ISBN 10: 1108836623 / ISBN 13: 9781108836623

Published by Cambridge University Press, Cambridge, 2024

About this Item

Hardcover. Discrete structures model a vast array of objects ranging from DNA sequences to internet networks. The theory of generating functions provides an algebraic framework for discrete structures to be enumerated using mathematical tools. This book is the result of 25 years of work developing analytic machinery to recover asymptotics of multivariate sequences from their generating functions, using multivariate methods that rely on a combination of analytic, algebraic, and topological tools. The resulting theory of analytic combinatorics in several variables is put to use in diverse applications from mathematics, combinatorics, computer science, and the natural sciences. This new edition is even more accessible to graduate students, with many more exercises, computational examples with Sage worksheets to illustrate the main results, updated background material, additional illustrations, and a new chapter providing a conceptual overview. Discrete structures, like DNA sequences and the internet, are complex objects created from indivisible parts. Now more accessible to graduate students, this book introduces multivariate generating functions, which are used to create computational tools to detect and understand patterns in such structures. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781108836623

Bibliographic Details

Title: Analytic Combinatorics in Several Variables ...

Publisher: Cambridge University Press, Cambridge

Publication Date: 2024

Binding: Hardcover

Condition: new

Edition: 2nd Edition