Softcover ISBN:  9780821843147 
Product Code:  CRMM/2.S 
List Price:  $49.00 
MAA Member Price:  $44.10 
AMS Member Price:  $39.20 
eBook ISBN:  9781470438487 
Product Code:  CRMM/2.E 
List Price:  $45.00 
MAA Member Price:  $40.50 
AMS Member Price:  $36.00 
Softcover ISBN:  9780821843147 
eBook: ISBN:  9781470438487 
Product Code:  CRMM/2.S.B 
List Price:  $94.00 $71.50 
MAA Member Price:  $84.60 $64.35 
AMS Member Price:  $75.20 $57.20 
Softcover ISBN:  9780821843147 
Product Code:  CRMM/2.S 
List Price:  $49.00 
MAA Member Price:  $44.10 
AMS Member Price:  $39.20 
eBook ISBN:  9781470438487 
Product Code:  CRMM/2.E 
List Price:  $45.00 
MAA Member Price:  $40.50 
AMS Member Price:  $36.00 
Softcover ISBN:  9780821843147 
eBook ISBN:  9781470438487 
Product Code:  CRMM/2.S.B 
List Price:  $94.00 $71.50 
MAA Member Price:  $84.60 $64.35 
AMS Member Price:  $75.20 $57.20 

Book DetailsCRM Monograph SeriesVolume: 2; 1993; 265 ppMSC: Primary 35; Secondary 76; 80; 78; 44
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.
ReadershipMathematics, physics, and engineering undergraduates in a course on boundary value problems; scientists and engineers interested in the stability of fluid flows, or hotfluid injection in petroleum fields, or nondestructive eddycurrent testing.

Table of Contents

Part 1. General Methods

Chapter 1. Introduction

Chapter 2. Basic integral transforms

Chapter 3. Kernels of integral transforms

Chapter 4. Hyperbolic equations

Chapter 5. Parabolic equations

Chapter 6. The threedimensional wave equation

Part 2. Applications

Chapter 7. Convective stability problems

Chapter 8. Temperature fields in oil strata

Chapter 9. Eddycurrent testing problems


Reviews

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


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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.
Mathematics, physics, and engineering undergraduates in a course on boundary value problems; scientists and engineers interested in the stability of fluid flows, or hotfluid injection in petroleum fields, or nondestructive eddycurrent testing.

Part 1. General Methods

Chapter 1. Introduction

Chapter 2. Basic integral transforms

Chapter 3. Kernels of integral transforms

Chapter 4. Hyperbolic equations

Chapter 5. Parabolic equations

Chapter 6. The threedimensional wave equation

Part 2. Applications

Chapter 7. Convective stability problems

Chapter 8. Temperature fields in oil strata

Chapter 9. Eddycurrent testing problems

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