Click Here to Download: https://ouo.io/ejRTYr Asymptotic Methods For Integrals By: Nico M Temme Publisher: WSPC Print ISBN: 9789814612159, 9814612154 eText ISBN: 9789814612173, 9814612170 Pages: 628 Format: EPUB Available from $ 63.00 USD SKU 9789814612173 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. Contents: Basic Methods for Integrals Basic Methods: Examples for Special Functions Other Methods for Integrals Uniform Methods for Integrals Uniform Methods for Laplace-Type Integrals Uniform Examples for Special Functions A Class of Cumulative Distribution Functions Readership: Researchers in applied mathematics, engineering, physics, mathematical statistics, probability theory and biology. The introductory parts and examples will be useful for post-graduate students in mathematics. Key Features: The book gives a complete overview of the classical asymptotic methods for integrals
