SIAM AG on Orthogonal Polynomials and Special Functions


Extract from OP-SF NET

Topic #17  -------------   OP-SF NET 8.6  -------------  November 15, 2001
From: OP-SF NET Editor (
Subject: SIAM adds text on Asymptotics to Classics Series

Asymptotic Approximations of Integrals
		By R. Wong
2001 / xvii + 543 pages / Softcover / ISBN 0-89871-497-4
List Price $77.00 / SIAM Member Price $53.90 / Order Code CL34

The Society for Industrial and Applied Mathematics (SIAM) announces the
August 2001 publication of Asymptotic Approximations of Integrals by
Roderick Wong as volume 34 in its Classics in Applied Mathematics series.
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 Asymptotic Approximations of Integrals, all
results are proved rigorously, and many of the approximation formulas are
accompanied by error bounds. A thorough discussion on multidimensional
integrals is given, and references are provided.  Asymptotic Approximations
of Integrals contains the distributional method, which is not available
elsewhere. Most of the examples in this text come from concrete

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.

This book can be used either as a text for graduate students in mathematics,
physics, and engineering or as a reference for research workers in these
fields.  Engineers and scientists will find it easy to apply the techniques
and results presented.

Roderick S. C. Wong is a Professor of Mathematics and Dean of the Faculty of
Science and Engineering at the City University of Hong Kong. The author of
over 80 published papers and four edited books, Professor Wong currently
serves on the editorial board of seven journals. He is the recipient of
several prestigious honors, awards, and grants and is an honorary professor
at three universities.

A complete table of contents and other information are available at SIAM's
Web site at

Sara J. Triller, Developmental Editor (

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