Integral Transforms for Engineers

Author(s): Larry C. Andrews, Bhimsen K. Shivamoggi

Published: 1999

PDF ISBN: 9780819478481 | Print ISBN: 9780819432322

DESCRIPTION

Integral transform methods provide effective ways to solve a variety of problems arising in the engineering, optical, and physical sciences. Suitable as a self-study for practicing engineers and applied mathematicians and as a textbook in graduate-level courses in optics, engineering sciences, physics, and mathematics.

Buy this book on SPIE.org

TABLE OF CONTENTS SHOW ALL CHAPTER OUTLINES +

SAVE THIS BOOK TO YOUR LIBRARY

This will count as one of your downloads.

You will have access to both the presentation and article (if available).

DOWNLOAD NOW

This content is available for download via your institution's subscription. To access this item, please sign in to your personal account.

Email or Username Forgot your username?

Password Forgot your password?

Show

Keep me signed in

No SPIE account? Create an account

Front Matter

DOWNLOAD PDF

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

CHAPTER 1.

Special Functions

Chapter Outline +

1.1 Introduction
1.2 The Gamma Function
1.3 The Error Function and Related Functions
1.4 Bessel Functions
1.5 Useful Engineering Functions

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

CHAPTER 2.

Fourier Integrals and Fourier Transforms

Chapter Outline +

2.1 Introduction
2.2 Fourier Integral Representations
2.3 Proof of the Fourier Integral Theorem
2.4 Fourier Transform Pairs
2.5 Properties of the Fourier Transform
2.6 Transforms of More Complicated Functions
2.7 The Convolution Integrals of Fourier
2.8 Transforms Involving Generalized Functions
2.9 Hilbert Transforms
2.10 Additional Topics

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

CHAPTER 3.

Applications Involving Fourier Transforms

Chapter Outline +

3.1 Introduction
3.2 Boundary Value Problems
3.3 Heat Conduction in Solids
3.4 Mechanical Vibrations
3.5 Potential Theory
3.6 Hydrodynamics
3.7 Elasticity in Two Dimensions
3.8 Probability and Statistics

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

CHAPTER 4.

The Laplace Transform

Chapter Outline +

4.1 Introduction
4.2 The Transforms of Some Typical Functions
4.3 Basic Operational Properties
4.4 Transforms of More Complicated Functions
4.5 The Inverse Laplace Transform
4.6 Complex Inversion Formula
4.7 Additional Topics

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

CHAPTER 5.

Applications Involving Laplace Transforms

Chapter Outline +

5.1 Introduction
5.2 Evaluating Integrals
5.3 Solutions of ODEs
5.4 Solutions of PDEs
5.5 Linear Integral Equations

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

CHAPTER 6.

The Mellin Transform

Chapter Outline +

6.1 Introduction
6.2 Evaluation of Mellin Transforms
6,3 Complex Variable Methods
6.4 Applications
6.5 Table of Mellin Transforms

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

CHAPTER 7.

The Hankel Transform

Chapter Outline +

7.1 Introduction
7.2 Evaluation of Hankel Transforms
7.3 Applications
7.4 Table of Hankel Transforms

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

CHAPTER 8.

Finite Transforms

Chapter Outline +

8.1 Introduction
8.2 Finite Fourier Transforms
8.3 Sturm—Liouville Transforms
8.4 Finite Hankel Transform

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

CHAPTER 9.

Discrete Transforms

Chapter Outline +

9.1 Introduction
9.2 Discrete Fourier Transform
9.3 The Z Transform
9.4 Difference Equations
9.5 Table of Z Transforms

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

Bibliography

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

Appendix A Review of Complex Variables

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

Appendix B Table of Fourier Transforms

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

Appendix C Table of Laplace Transforms

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

Back Matter

DOWNLOAD PDF

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

My Library

You currently do not have any folders to save your paper to! Create a new folder below.