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Asymptotic Analysis: Central Theorems and Applications

Asymptotic Analysis: Central Theorems and Applications

Paperback

Series: Mathematics Study Resources, Book 35

General Mathematics

PREORDER - Expected ship date November 19, 2026

ISBN10: 3662743817
ISBN13: 9783662743812
Publisher: Springer
Published: Nov 19 2026
Pages: 142
Language: English

This book is based on a lecture on asymptotic analysis that the author has given multiple times. It is aimed both at students who want to learn about asymptotic methods and at practitioners seeking new inspiration for their work.
After a brief introduction to asymptotic concepts, the book focuses particularly on asymptotic expansions and how to compute with them. Standard techniques for proving asymptotic formulas - such as Laplace's method and the method of steepest descent for estimating complex contour integrals - are discussed using examples. A recurring theme is the relationship between the asymptotic behaviour of a sequence or function on the one hand, and the analytic continuation of an associated object obtained via a transformation on the other. In this context, generating functions are introduced and used to solve recurrence relations.

Also from

Wirth, Jens

Also in

General Mathematics