Asymptotic Methods for Integrals: 6 - Rilegato

Temme, Nico M.

 
9789814612159: Asymptotic Methods for Integrals: 6
Rilegato
ISBN 10: 9814612154 ISBN 13: 9789814612159
Casa editrice: World Scientific Pub Co Inc, 2014

Sinossi

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 particulars 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.

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Recensione

The book is a useful contribution to the literature. It contains many asymptotic formulas that can be used by practitioners. --Zentralblatt MATH

I recommend this substantial text, complementing existing treatments, not only as an introductory text for graduate students but as a mine of information for experts. --Sir Michael Berry, University of Bristol, UK

This book compiles many of the relevant asymptotic methods for integrals, classical and modern, known nowadays. As the author is an expert, not only in asymptotics of integrals, but also in special functions, the book pays special attention to the application of asymptotic methods of integrals in the approximation of special functions. --Mathematical Reviews

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Editore
World Scientific Pub Co Inc
Data di pubblicazione
2014
Lingua
Inglese
ISBN 10 
9814612154
ISBN 13 
9789814612159
Rilegatura
Copertina rigida
Numero di pagine
605
Contatto del produttore
non disponibile
Persona responsabile
non disponibile