Asymptotic Expansions of Integrals

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Clear path into powerful asymptotic techniques

If you enjoy mathematics that turns intimidating integrals into something structured and usable, this is a deeply rewarding read. It has the feel of a serious classic, but it teaches with unusual clarity, building from approachable ideas into methods like stationary phase and steepest descents. Readers who like books that work both as a course text and a long-term reference will probably keep coming back to it.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.

Asymptotic Expansions of Integrals

Regular price
Unit price
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ISBN: 9780486650821
Publisher: Dover Publications
Date of Publication: 2010-11-18
Format: Paperback
Related Collections: Science
Related Topics: Mathematics, Physics
Goodreads rating: 3.2
(rated by 5 readers)

Description

An accessible introduction to asymptotic analysis focusing on the asymptotic expansion of integrals. The text presents the principles and methods used in applied mathematics, with nine chapters that begin with elementary material and end with numerous problems and exercises. Prerequisites are basic calculus, differential equations, and complex variables. Topics include integration by parts, Watson’s lemma, Laplace’s method, stationary phase, and steepest descents, as well as the Mellin transform method and additional aspects of steepest descent. Each chapter is illustrated with diagrams and tables. The work has been used as a classroom text and is provided in an inexpensive paperback edition. It serves as a reference for both students and researchers working with asymptotics.
 

Clear path into powerful asymptotic techniques

If you enjoy mathematics that turns intimidating integrals into something structured and usable, this is a deeply rewarding read. It has the feel of a serious classic, but it teaches with unusual clarity, building from approachable ideas into methods like stationary phase and steepest descents. Readers who like books that work both as a course text and a long-term reference will probably keep coming back to it.

Note: While we do our best to ensure the accuracy of cover images, ISBNs may at times be reused for different editions of the same title which may hence appear as a different cover.