Applied Integral Transforms
by Antimirov, M. Ya.; Kolyshkin, A. A.; Vaillancourt, RemiEdition: 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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