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Asymptotic Methods for Integrals

Asymptotic Methods for Integrals

Hardcover

Series: Analysis, Book 6

General Mathematics

ISBN10: 9814612154
ISBN13: 9789814612159
Publisher: World Scientific Publishing Company
Published: Nov 13 2014
Pages: 628
Weight: 2.64
Height: 1.60 Width: 6.60 Depth: 10.10
Language: English

This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson's lemma, Laplace's method, the saddle point and steepest descent methods, stationary phase and Darboux's method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena: turning points and transition points, coinciding saddle and singularities. In all these examples, the special functions are indicated that describe the peculiar behavior of the integrals.

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General Mathematics