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.

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Yes, you can access Asymptotic Approximations of Integrals by R. Wong, Werner Rheinboldt,Daniel Siewiorek in PDF and/or ePUB format, as well as other popular books in Matematica & Calcolo. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Academic Press

Year

2014

ISBN

9781483220710

Topic

Matematica

Subtopic

Calcolo

Front Cover
Asymptotic Approximations of Integrals
Copyright Page
Table of Contents
Dedication
Preface
Chapter I. Fundamental Concepts of Asymptotics
Chapter II. Classical Procedures
Chapter III. Mellin Transform Techniques
Chapter IV. The Summability Method
Chapter V. Elementary Theory of Distributions
Chapter VI. The Distributional Approach
Chapter VII. Uniform Asymptotic Expansions
Chapter VIII. Double Integrals
Chapter IX. Higher Dimensional Integrals
Bibliography
Symbol Index
Author Index
Subject Index