Integral Transforms in Applied Mathematics
An intermediate-level text on the use of integral transforms in applied mathematics and engineering. Existing works either cover the subject in more elementary form or are advanced treatises. In a very lucid style the author deals with the use of this important mathematical tool to solve ordinary and partial differential equations in problems in electrical circuits, mechanical vibration and wave motion, heat conduction, and fluid mechanics. The book is divided into five parts covering integral …
Read More ↓Title Statements
- Full title :Integral Transforms in Applied Mathematics / John W. Miles.
Summary
An intermediate-level text on the use of integral transforms in applied mathematics and engineering. Existing works either cover the subject in more elementary form or are advanced treatises. In a very lucid style the author deals with the use of this important mathematical tool to solve ordinary and partial differential equations in problems in electrical circuits, mechanical vibration and wave motion, heat conduction, and fluid mechanics. The book is divided into five parts covering integral transform pairs, the Laplace transform, Fourier transforms, Hankel transforms, and finite Fourier transforms. A basic knowledge of complex variables and elementary differential equations is assumed. There are many exercises and examples drawn from the above fields, tables of the transform pairs needed in the text, and a glossary of terms with which the student may be unfamiliar. For the student who seeks further background on the subject, an annotated bibliography is provided.
Read More ↓Edition Statements
- Publication Date:1971.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:1971.
Notes
Title from publishers bibliographic system (viewed on 06 Mar 2013).
The Physical Object
- Description:online resource (xii, 97 s.) : : illustrations
Edition Identifiers
- ISBN:9780511897351, 0511897359
- oclc:ocn939591818
- Dewey Decimal:515.723
Table of Contents
1. INTEGRAL-TRANSFORM PAIRS -- 2. -- THE LAPLACE TRANSFORM -- 3. FOURIER TRANSFORMS -- 4. HANKEL TRANSFORMS -- 5. FINITE FOURIER TRANSFORMS -- APPENDIX 1: PARTIAL-FRACTION EXPANSIONS -- APPENDIX 2: TABLES -- APPENDIX 3: LIST OF NOTATIONS.
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