Integral Transforms in Applied Mathematics [ electronic resource ] / by John W. Miles.
By: Miles, John W.
Material type:
TextPublisher: Cambridge: Cambridge University Press , 2011ISBN: 9780511897351 ( e-book ).Subject(s): Mathematical Modeling and Methods | MathematicsGenre/Form: Electronic booksDDC classification: 515.723 Online resources: https://doi.org/10.1017/CBO9780511897351 View to click 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.
| Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
E-Book
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WWW | 515.723 MIL/I (Browse shelf) | Available | EB219 |
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.
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