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A Distributional Approach to Asymptotics - Theory and Applications (Paperback, 2nd ed. 2002. Softcover reprint of the original 2nd ed. 2002)
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A Distributional Approach to Asymptotics - Theory and Applications (Paperback, 2nd ed. 2002. Softcover reprint of the original 2nd ed. 2002)
Series: Birkhauser Advanced Texts / Basler Lehrbucher
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"...The authors of this remarkable book are among the very few who
have faced up to the challenge of explaining what an asymptotic
expansion is, and of systematizing the handling of asymptotic
series. The idea of using distributions is an original one, and we
recommend that you read the book...[it] should be on your bookshelf
if you are at all interested in knowing what an asymptotic series
is." -"The Bulletin of Mathematics Books" (Review of the 1st
edition) ** "...The book is a valuable one, one that many applied
mathematicians may want to buy. The authors are undeniably experts
in their field...most of the material has appeared in no other
book." -"SIAM News" (Review of the 1st edition) This book is a
modern introduction to asymptotic analysis intended not only for
mathematicians, but for physicists, engineers, and graduate
students as well. Written by two of the leading experts in the
field, the text provides readers with a firm grasp of mathematical
theory, and at the same time demonstrates applications in areas
such as differential equations, quantum mechanics, noncommutative
geometry, and number theory. Key features of this significantly
expanded and revised second edition: * addition of a new chapter
and many new sections * wide range of topics covered, including the
Ces.ro behavior of distributions and their connections to
asymptotic analysis, the study of time-domain asymptotics, and the
use of series of Dirac delta functions to solve boundary value
problems * novel approach detailing the interplay between
underlying theories of asymptotic analysis and generalized
functions * extensive examples and exercises at the end of each
chapter * comprehensive bibliography and index This work is an
excellent tool for the classroom and an invaluable self-study
resource that will stimulate application of asymptotic
General
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