Asymptotic Approximations of Integrals PDF
By:R. Wong
Published on 2014-05-10 by Academic Press
Asymptotic Approximations of Integrals deals with the methods used in the asymptotic approximation of integrals. Topics covered range from logarithmic singularities and the summability method to the distributional approach and the Mellin transform technique for multiple integrals. Uniform asymptotic expansions via a rational transformation are also discussed, along with double integrals with a curve of stationary points. For completeness, classical methods are examined as well. Comprised of nine chapters, this volume begins with an introduction to the fundamental concepts of asymptotics, followed by a discussion on classical techniques used in the asymptotic evaluation of integrals, including Laplace's method, Mellin transform techniques, and the summability method. Subsequent chapters focus on the elementary theory of distributions; the distributional approach; uniform asymptotic expansions; and integrals which depend on auxiliary parameters in addition to the asymptotic variable. The book concludes by considering double integrals and higher-dimensional integrals. This monograph is intended for graduate students and research workers in mathematics, physics, and engineering.
This Book was ranked at 16 by Google Books for keyword Computer Science.
Book ID of Asymptotic Approximations of Integrals's Books is EpHiBQAAQBAJ, Book which was written byR. Wonghave ETAG "Qv7gwQdv7Vc"
Book which was published by Academic Press since 2014-05-10 have ISBNs, ISBN 13 Code is 9781483220710 and ISBN 10 Code is 1483220710
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