Integral transforms in applied mathematics

By:

Miles, John

Publication details: Cambridge University Press, 2008 New York:Description: 97p. ; pb, 23cmISBN:

9780521090681

Subject(s):

DDC classification:

515.723 MIL

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. 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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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	515.723 MIL (Browse shelf(Opens below))	1	Available		030953

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Previous	515.72 PAL Reconstructive integral geometry	515.72 TRE Introduction to pseudodifferential and fourier integral operators ,Vol. 2 :	515.7222 DAV Spectral theory and differential operators	515.723 MIL Integral transforms in applied mathematics	515.723 WID Laplace transform	515.724 TRE Introduction to pseudodifferential and fourier integral operators, Vol.1 :	515.7242 GRI Microlocal analysis for differential operators: an introduction	Next

Includes bibliography and index

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. 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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