8vo (9"x6"). Black cloth-covered boards with giltstamped titles. Top corner of upper cover bumped. Top-edge stamped with the words "Book Production Reprint Library," no other ex-lib markings. No dj. From the series: Computer Science and Scientific Computing.

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Bibliographic Details

Title

Asymptotic Approximations of Integrals

Publisher

Academic Press, Inc, San Diego, CA

Publication Date

1989

Language

English

ISBN 10

0127625356

ISBN 13

9780127625355

Binding

Hardcover

Edition

First edition.

Condition

Very Good+

Seller catalogs

Mathematics

About this title

Synopsis

Asymptotic methods are frequently used in many branches of both pure and applied mathematics, and this classic text remains the most up-to-date book dealing with one important aspect of this area, namely, asymptotic approximations of integrals. In this book, all results are proved rigorously, and many of the approximation formulas are accompanied by error bounds. A thorough discussion on multidimensional integrals is given, with references provided. Asymptotic Approximations of Integrals contains the ‘distributional method’, not available elsewhere. Most of the examples in this text come from concrete applications. Since its publication twelve years ago, significant developments have occurred in the general theory of asymptotic expansions, including smoothing of the Stokes phenomenon, uniform exponentially improved asymptotic expansions, and hyperasymptotics. These new concepts belong to the area now known as ‘exponential asymptotics’. Expositions of these new theories are available in papers published in various journals, but not yet in book form.

Book Description

This classic text remains the most up-to-date book to deal with asymptotic approximations of integrals. All results discussed are proved rigorously, and many of the approximation formulas are accompanied by error bounds. Included is a thorough discussion on multidimensional integrals, with references provided, plus the 'distributional method', not available elsewhere.

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