Applied Integral Transforms (CRM Monograph Series, 2) - Softcover

M. Ya. Antimirov; A. A. Kolyshkin; And Remi Vaillancourt

Softcover

ISBN 10: 0821843141 ISBN 13: 9780821843147

Publisher: American Mathematical Society, 2007

Synopsis

This book does what few books on integral transforms do: it constructs the kernels of the 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 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.

About this title

Review

Well written and may be recommended to all who are interested in applications of integral transforms. -- Zentralblatt für Mathematik

Edition details

• Publisher: American Mathematical Society
• Publication date: 2007
• ISBN 10: 0821843141
• ISBN 13: 9780821843147
• Binding: Paperback
• Language: English
• Number of pages: 265