{"product_id":"9789814612173","title":"Asymptotic Methods For Integrals","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eBasic Methods for Integrals\u003c\/li\u003e\n\u003cli\u003eBasic Methods: Examples for Special Functions\u003c\/li\u003e\n\u003cli\u003eOther Methods for Integrals\u003c\/li\u003e\n\u003cli\u003eUniform Methods for Integrals\u003c\/li\u003e\n\u003cli\u003eUniform Methods for Laplace-Type Integrals\u003c\/li\u003e\n\u003cli\u003eUniform Examples for Special Functions\u003c\/li\u003e\n\u003cli\u003eA Class of Cumulative Distribution Functions\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e 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.\u003cbr\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eThe book gives a complete overview of the classical asymptotic methods for integrals\u003c\/li\u003e\n\u003cli\u003eThe many examples give insight in the behavior of the well-known special functions\u003c\/li\u003e\n\u003cli\u003eThe detailed explanations on how to obtain the coefficients in the expansions make the results useful for numerical applications, in particular, for computing special functions\u003c\/li\u003e\n\u003cli\u003eThe many results on asymptotic representations of special functions supplement and extend those in the NIST Handbook of Mathematical Functions\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47185299374320,"sku":"9789814612173","price":63.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814612173_p0.jpg?v=1763691099","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814612173","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}