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.
Integral Transforms and Their Applications
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Editorial Reviews
Review
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."
—THE AUSTRALIAN MATHEMATICAL SOCIETY
"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 für 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)
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Most Helpful Customer Reviews
4 of 4 people found the following review helpful:
5.0 out of 5 stars
new chap 19 on numerical inverse laplace transforms,
By
This review is from: Integral Transforms and their Applications (Hardcover)
Chapter 19 is an excellent modern review of the main numerical inverse Laplace transform methods in use today. It does a good job of tying together many of the methods into a unifying theoretical light. Pretty much the only modern review out there, it was written by Dr John Knight, who is a co-author of one of the more important numerical inverse methods (Fourier series method of de Hoog, Knight & Stokes).
The rest of the book is great too.
3 of 6 people found the following review helpful:
5.0 out of 5 stars
Great Introduction,
By Edward Qubain (Austin TX USA) - See all my reviews
This review is from: Integral Transforms and Their Applications (Applied Mathematical Sciences) (Paperback)
This well written book teaches by example and will quickly make you proficient in the subject. Davies uses complex analysis to approach the subject which provides a way to visualize the problems.
1 of 4 people found the following review helpful:
1.0 out of 5 stars
No details, impossible to learn from,
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This review is from: Integral Transforms and their Applications (Hardcover)
This book covers a huge range of topics. There are no details. I am unable to work the homework problems with the details provided in the text. I'm googling information and will purchase a few more textbooks so I can learn something. This book might be good as a reference book if you already know what you're doing.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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descending expansion, regular generalized functions, singular generalized function, dual integral equations, inversion contour, inversion integral, matrix transfer function, asymptotic information, loop integrals, minimal realization, deform the contour, singularity structure Key Phrases - Capitalized Phrases (CAPs): (learn more)
Convolution Equations, Asymptotic Behavior of Power Series, Asymptotic Properties, Realization of Transfer Functions, Solve Problem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
descending expansion, regular generalized functions, singular generalized function, dual integral equations, inversion contour, inversion integral, matrix transfer function, asymptotic information, loop integrals, minimal realization, deform the contour, singularity structure Key Phrases - Capitalized Phrases (CAPs): (learn more)
Convolution Equations, Asymptotic Behavior of Power Series, Asymptotic Properties, Realization of Transfer Functions, Solve Problem New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 80
books:
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99
books
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See all 99 books citing this book
- Laplace Transform (Mathematics Series) by D. V. Widder on page 27, and Back Matter
- Differential Equations (with CD-ROM) by Paul Blanchard in Back Matter (1), and Back Matter (2)
- Laplace Transform, The (Series in Modern Applied Mathematics) by R Bellman on page 27, and Back Matter
- Generalized Functions. Volume I: Properties and Operations by I. M. Gel'fand on page 151, and Back Matter
- Generalized Functions: Theory and Technique by Ram P. Kanwal in Back Matter
See all 80 books this book cites
- Transform Methods for Solving Partial Differential Equations, Second Edition (Symbolic & Numeric Computation) by Dean G. Duffy on page 200, page 302, and page 614
- The Handbook of Integration by Daniel Zwillinger on page 5, and page 13
- Handbook of Formulas and Tables for Signal Processing (Electrical Engineering Handbook) by Alexander D. Poularikas on page 333, and page 343
- Waves and Compressible Flow (Texts in Applied Mathematics) by Hilary Ockendon in Back Matter
- Integral and Discrete Transforms with Applications and Error Analysis (Chapman & Hall/CRC Pure and Applied Mathematics) by Abdul Jerri in Back Matter
See all 99 books citing this book
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