Applied Integral Transforms (Crm Monograph) - Hardcover

Antimirov, M Ya

Hardcover

ISBN 10: 0821869981 ISBN 13: 9780821869987

Publisher: American Mathematical Society, 1993

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. The CRM Monograph Series is jointly published by the American Mathematical Society and the Centre de Recherches Math\'ematiques.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1993
• Language: English
• ISBN 10: 0821869981
• ISBN 13: 9780821869987
• Binding: Hardcover
• Number of pages: 265