Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Applied Integral Transforms
 
M. Ya. Antimirov Riga Technical University, Riga, Latvia
A. A. Kolyshkin Riga Technical University, Riga, Latvia
Remi Vaillancourt University of Ottawa, Ottawa, ON, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques
Applied Integral Transforms
Softcover ISBN:  978-0-8218-4314-7
Product Code:  CRMM/2.S
List Price: $49.00
MAA Member Price: $44.10
AMS Member Price: $39.20
eBook ISBN:  978-1-4704-3848-7
Product Code:  CRMM/2.E
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
Softcover ISBN:  978-0-8218-4314-7
eBook: ISBN:  978-1-4704-3848-7
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
Applied Integral Transforms
Click above image for expanded view
Applied Integral Transforms
M. Ya. Antimirov Riga Technical University, Riga, Latvia
A. A. Kolyshkin Riga Technical University, Riga, Latvia
Remi Vaillancourt University of Ottawa, Ottawa, ON, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques
Softcover ISBN:  978-0-8218-4314-7
Product Code:  CRMM/2.S
List Price: $49.00
MAA Member Price: $44.10
AMS Member Price: $39.20
eBook ISBN:  978-1-4704-3848-7
Product Code:  CRMM/2.E
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $36.00
Softcover ISBN:  978-0-8218-4314-7
eBook ISBN:  978-1-4704-3848-7
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 Details
     
     
    CRM Monograph Series
    Volume: 21993; 265 pp
    MSC: 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 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.

    Titles in this series are co-published with the Centre de recherches mathématiques.

    Readership

    Mathematics, physics, and engineering undergraduates in a course on boundary value problems; scientists and engineers interested in the stability of fluid flows, or hot-fluid injection in petroleum fields, or nondestructive eddy-current 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 three-dimensional wave equation
    • Part 2. Applications
    • Chapter 7. Convective stability problems
    • Chapter 8. Temperature fields in oil strata
    • Chapter 9. Eddy-current testing problems
  • Reviews
     
     
    • Well written and may be recommended to all who are interested in applications of integral transforms.

      Zentralblatt MATH
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 21993; 265 pp
MSC: 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 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.

Titles in this series are co-published with the Centre de recherches mathématiques.

Readership

Mathematics, physics, and engineering undergraduates in a course on boundary value problems; scientists and engineers interested in the stability of fluid flows, or hot-fluid injection in petroleum fields, or nondestructive eddy-current 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 three-dimensional wave equation
  • Part 2. Applications
  • Chapter 7. Convective stability problems
  • Chapter 8. Temperature fields in oil strata
  • Chapter 9. Eddy-current testing problems
  • Well written and may be recommended to all who are interested in applications of integral transforms.

    Zentralblatt MATH
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.