CRM Monograph Series 1993; 265 pp; softcover Volume: 2 ISBN10: 0821843141 ISBN13: 9780821843147 List Price: US$33 Member Price: US$26.40 Order Code: CRMM/2.S
 This book does what few books on integral transforms do: it constructs the kernels of the integral transforms by solving the generalized SturmLiouville problems associated with the partial differential equations at hand. In the first part of the book, the authors construct the kernels and then use them to solve elementary problems of mathematical physics. This section, which proceeds mainly by examples and includes exercises, requires little mathematical background and provides an introduction to the subject of integral transforms. In the second part of the book, the method of integral transforms is used to solve modern applied problems in convective stability, temperature fields in oil strata, and eddy current testing. The choice of topics reflects the authors' research experience and involvement in industrial applications. The first part of the book is accessible to undergraduates, while the second part is aimed more at graduate students and researchers. Because of the applications it discusses, the book will interest engineers (especially petroleum engineers) and physicists. Titles in this series are copublished with the Centre de Recherches Mathématiques. Readership Undergraduates, graduate students and research mathematicians interested in applications of integral transforms. Reviews "Well written and may be recommended to all who are interested in applications of integral transforms."  Zentralblatt MATH Table of Contents Part 1: General Methods  Introduction
 Basic integral transforms
 Kernels of integral transforms
 Hyperbolic equations
 Parabolic equations
 The threedimensional wave equation
Part 2: Applications  Convective stability problems
 Temperature fields in oil strata
 Eddycurrent testing problems
 Answers to the problems
 References
 About the authors
 Index
