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Asymptotic Methods for Integrals

10179.000

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AuthorTemme Nico M
ISBN9789814612159
Published LanguageEnglish
Publication Year2014
PublisherWorld Scientific
BindingHardback
Original Price$158
Pages628
Ships By2-3 days
SKU: WS-1457 Categories: ,

Description

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.

The text extensively covers the classical methods with an emphasis on how to obtain expansions, and how to use the results for numerical methods, in particular for approximating special functions. In this way, we work with a computational mind: how can we use certain expansions in numerical analysis and in computer programs, how can we compute coefficients, and so on.

About the author
Centrum Wiskunde & Informatica, The Netherlands

Additional information

Weight1.202 kg
Dimensions24.8 × 16.5 cm
Author

ISBN

Publisher

Pages

628

Ships By

2-3 days