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Integral Transforms and Their Applications : Texts in Applied Mathematics - Brian Davies

Integral Transforms and Their Applications

Texts in Applied Mathematics

Hardcover Published: 2nd January 2002
ISBN: 9780387953144
Number Of Pages: 370

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This is a substantially updated, extended and reorganized third edition of an introductory text on the use of integral transforms. Chapter I is largely new, covering introductory aspects of complex variable theory. Emphasis is on the development of techniques and the connection between properties of transforms and the kind of problems for which they provide tools. Around 400 problems are accompanied in the text. It will be useful for graduate students and researchers working in mathematics and physics.

From the reviews of the third edition:

B. Davies

Integral Transforms and their Applications

"Extremely well-written and a joy to read . . . Whether the reader is seeking a useful text for a graduate course or a valuable reference on integral transforms, I would highly recommend Brian Davies' book."


"A testament to the quality and usefulness of this monograph is that a third edition has now appeared. ... In addition to the material previously included, there have been significant extensions in some of the topics ... . The writing style and the overall structure of the presentation have been modified ... and, as a consequence, the current edition is extremely well-written and a joy to read. ... I would highly recommend Brian Davies' book." (W.P. Wood, The Australian Mathematical Society Gazette, Vol. 30 (1), 2003)

"In its present third edition this well known work has undergone considerable reconstruction or augmentation ... . Due to the general character of this volume, the many examples worked out or provided, this volume will be of use to readers intending to make actual use of integral transforms." (H. Muthsam, Monatshefte fur Mathematik, Vol. 139 (2), 2003)

"Nevertheless that the new edition has less pages, it is now ... about 20% longer which can find a seemingly explanation by its more compact and now modern photocomposed copy preparation on the basis of a LaTeX file. ... As conclusion ... the new edition gained considerably ... it can be highly recommended to a broad readership." (J. Synnatzschke, ZAA, Vol. 21 (3), 2002)

Preface to the Third Edition
Preface to the Second Edition
Preface to the First Edition
Functions of a Complex Variablep. 1
The Laplace Transformp. 27
The Inversion Integralp. 39
Ordinary Differential Equationsp. 57
Partial Differential Equations Ip. 85
Integral Equationsp. 97
The Fourier Transformp. 111
Partial Differential Equations IIp. 129
Generalized Functionsp. 143
Green's Functionsp. 163
Transforms in Several Variablesp. 181
The Mellin Transformp. 195
Application to Sums and Integralsp. 211
Hankel Transformsp. 227
Integral Transforms Generated by Green's Functionsp. 249
The Wiener - Hopf Techniquep. 265
Methods Based on Cauchy Integralsp. 283
Laplace's Method for Ordinary Differential Equationsp. 303
Numerical Inversion of Laplace Transformsp. 327
Bibliographyp. 357
Indexp. 363
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387953144
ISBN-10: 0387953140
Series: Texts in Applied Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 370
Published: 2nd January 2002
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.4 x 15.6  x 2.54
Weight (kg): 0.69
Edition Number: 3
Edition Type: Revised