Applied Integral Transforms

by ; ;
Edition: Reprint
Format: Paperback
Pub. Date: 2007-04-24
Publisher(s): Amer Mathematical Society
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Summary

"This book constructs the kernels of integral transforms by solving the generalized Sturm-Liouville problems associated with the partial differential equations at hand." "In the first part of the book, the authors construct the kernels and use them to solve elementary problems of mathematical physics. 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 first part of the book is accessible to undergraduates, while the second part is aimed at graduate students and researchers. Because of the applications, the book will interest engineers (especially petroleum engineers) and physicists."--BOOK JACKET.

Table of Contents

General Methods: Introduction Basic integral transforms
Kernels of integral transforms
Hyperbolic equations Parabolic equations
The three-dimensional wave equation
Applications: Convective stability problems
Temperature fields in oil strata Eddy-current testing problems
Answers to the problems
References
About the authors
Index
Table of Contents provided by Publisher. All Rights Reserved.

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