Integral Transforms and their Applications

Book Description

This book is an introduction and reference for the applications of integral transforms to a wide range of common mathematical problems. Emphasis is placed on the development of techniques and on the connection between properties of transforms and the kinds of problems for which they provide tools. Over 400 problems accompany the text, illustrating areas of applications. This third edition has been substantially updated, extended, and reorganized. Graduate students and researchers working in mathematics and physics will find this book useful.

Customer Reviews:

new chap 19 on numerical inverse laplace transforms.......2006-11-03

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.

Great Introduction.......2000-08-04

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.

The Discrete Fourier Transform: Theory, Algorithms and Applications

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The Discrete Fourier Transform: Theory, Algorithms and Applications
D. Sundararajan
Manufacturer: World Scientific Publishing Company
ProductGroup: Book
Binding: Hardcover

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ASIN: 9810245211

The Fourier Transform & Its Applications

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MUST HAVE
The best book for Fourier transform
Good book on practical, fourier analysis, excellent problems
excellent on fundamentals
unusual and rare symbolism to be an engineering book!!!!!!!!

The Fourier Transform & Its Applications
Ronald N. Bracewell
Manufacturer: McGraw-Hill Science/Engineering/Math
ProductGroup: Book
Binding: Hardcover

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ASIN: 0073039381

Book Description

This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of transforms. The pedagogy in this classic text is excellent. The author has included such tools as the pictorial dictionary of transforms and bibliographic references. In addition, there are many excellent problems throughout this book, which are more than mathematical exercises, often requiring students to think in terms of specific situations or asking for educated opinions. To aid students further, discussions of many of the problems can be found at the end of the book.

Customer Reviews:

MUST HAVE.......2007-05-12

If you need a reference on the Fourier Transform. THIS IS IT!!!!!

The best book for Fourier transform.......2003-06-22

When I came to the field of Fourier transform, the book provides me a clear, easy-understanding picture to the field so that I believe any of you can get into the field by use of the book. If you are looking for your first book to Fourier transform, don't waste your time, it is. Even through my life in the research, I depended on it most of the time. It's too great.

Good book on practical, fourier analysis, excellent problems.......2001-05-01

This book is an old classic in fourier analysis - it emphasizes intuitive understanding and uses images a lot to convey information, e.g. the book includes a pictorial dictionary of fourier transforms, and recommends using the method of dragging a strip of paper to get a better understanding of convolutions. The problems are challenging and very interesting, e.g. one problem asks the reader to explain the differences in spectra when reconstructing a signal by linear interpolation vs. sketching a smooth graph between the sample points by hand. (there are also easier problems for to begin with, before one tackles "engineering" questions as the one above) Highly recommended!

excellent on fundamentals.......2000-01-25

If you are looking for thorough explanations with great physical insight - this is the book to get. It is for people who want to know WHY more than HOW. However, If you are looking for how (to implement), I suggest the book "Fast Fourier Transform" by Brigham

unusual and rare symbolism to be an engineering book!!!!!!!!.......1999-09-30

Too confusing...it does not use standard engineering symbols, like for tables, you just need a week to get use to it. For starters...I don't recommend it.

Applied Functional Analysis: Applications to Mathematical Physics (Applied Mathematical Sciences)

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motivated , well written, easy to read , nearly complete
Excellent account on modern operator theory
Indispensible to any serious student of Mathematics!

Applied Functional Analysis: Applications to Mathematical Physics (Applied Mathematical Sciences)
Eberhard Zeidler
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387944427

Book Description

This is the first part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. The book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world and which play an important role in the history of mathematics. The book's approach begins with the question "what are the most important applications" and proceeds to try to answer this question. The applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. The presentation is self-contained. As for prerequisites, the reader should be familiar with some basic facts of calculus. The second part of this textbook has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

Customer Reviews:

motivated , well written, easy to read , nearly complete.......2000-10-15

This is a incredible book on applied functional analyses.Every topic is motivated with an applied problem.The definitions are motivated either by the aplication or by the subsequent use.There are remainders showing you the inteconections between the subjects and finally the index and the Symbols index are both complete and very usefull.The book is not complete. However he missing subjects usually are in the other colection by the same author.

Excellent account on modern operator theory.......2000-04-05

This well-written text covers the fundamentals of modern linear operator theory and points out most of its connections to other branches of mathematics and physics ( differential equations, integral equations, finite elements, elasticity, quantum mechanics, and more). It includes all the basic theory on Banach spaces, Hilbert spaces, orthogonality, Fourier series, etc., and a chapter on the PDE's of mathematical physics. The excercises are both illustrating and challenging. I find it useful for undergrads, graduate students, and as a reference for working mathematicians. Must read companion volume 109 also.

Please check my other reviews in my member page (just click on my name above).

Indispensible to any serious student of Mathematics!.......1998-09-30

Prof. Zeidler has done the world of mathematicians an incredible service by writing this book. It is self-contained, very lucid, beautifully organised, and actually takes the trouble to relate various topics to each other. It makes the field of Functional Analysis more accessible to students taking their first course in it. It also is a handy reference for practicing mathematicians. I loved the little schematics in the book which point out connections between seemingly disconnected ideas. All in all- a great book. If you don't have it, and are interested enough in Math to be reading this review- go buy it!!!!

A Student's Guide to Fourier Transforms: With Applications in Physics and Engineering

Average customer rating:

Great
Does not review all the sampling methods
A five-star book
Assumes too much from the readers
Not enough detail

A Student's Guide to Fourier Transforms: With Applications in Physics and Engineering
J. F. James
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0521468299

Book Description

Telecommunications, acoustics and computer science. In the final chapter, particular attention is paid to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of many worked examples. Assuming no previous knowledge of the subject, this book will be invaluable to students of physics, electrical and electronic engineering and computer science.

Download Description

Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of computer-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science.

Customer Reviews:

Great.......2007-05-12

Gives a great mathematical breakdown of Wavelets with good references to applications. It easily related the Wavelet transform to the DFT.

Does not review all the sampling methods.......2006-03-02

The data provided is not complete for my application

A five-star book.......2002-03-29

I was appalled at the poor reviews this book has received. It
has been a tremendous help to me as a student and now lecturer
teaching this material at post-graduate level. It is exactly
what the title says - a student guide. It gives a very clear
introduction to the Fourier transform using abundant graphical
examples. Multi-dimensional transforms also get a brief
mention, and the book ends with a simple FFT routine written in
BASIC. Any interested student like myself will find this fun

to play with. Compared with other more expensive, weightier
books apparently written to make the subject as obscure as
possible, James's book is a delightful concise 128 page read. The
reader should gain an intuitive feel for many of the important
properties of the FT which will help greatly before tackling
more in-depth treatments. I think it is much better value for
money than many maths books on offer. Those wishing for the
most complicated explanation of Fourier transforms possible,
with no diagrams, applications or humour could try the book
by G.H.Hardy instead.

Assumes too much from the readers.......2000-11-05

This book consists in brief review of the fourier transform and a few applications.The brief review in the first two chapters is ok Only the essentials are given and the proofs are omitted.The problem starsts with the applications. There are applications to difraction of light to information theory and so on. However too much is assumed from the students with respect to those applications .After reading the chapters the students , i suspect, will ask what they have learned.A little more material explaining what the applications are about would improve the book a lot.It is almost useless in the present form

Not enough detail.......1999-10-28

I was a little disappointed with the book. Wanted a little more details and somemore solved examples. This book only introduces FT. It is a good book for the introductory classes in Physics and engineering, after that it is useless.

Minimax Theorems (Progress in Nonlinear Differential Equations and Their Applications)

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Minimax Theorems (Progress in Nonlinear Differential Equations and Their Applications)
Michel Willem
Manufacturer: Birkhäuser Boston
ProductGroup: Book
Binding: Hardcover

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ASIN: 0817639136

Asymptotic Distribution of Eigenvalues of Differential Operators (Mathematics and its Applications)

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Asymptotic Distribution of Eigenvalues of Differential Operators (Mathematics and its Applications)
Serge Levendorskii
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0792305396

Chaos, Nonlinearity, Complexity: The Dynamical Paradigm of Nature (Studies in Fuzziness and Soft Computing)

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Chaos, Nonlinearity, Complexity: The Dynamical Paradigm of Nature (Studies in Fuzziness and Soft Computing)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Book Description

This carefully edited book presents a focused debate on the mathematics and physics of chaos, nonlinearity and complexity in nature. It explores the role of non-extensive statistical mechanics in non-equilibrium thermodynamics, and presents an overview of the strong nonlinearity of chaos and complexity in natural systems that draws on the relevant mathematics from topology, measure-theory, inverse and ill-posed problems, set-valued analysis, and nonlinear functional analysis. It presents a self-contained scientific theory of complexity and complex systems as the steady state of non-equilibrium systems, denoting a homeostatic dynamic equilibrium between stabilizing order and destabilizing disorder.

Complex Analysis with Applications in Science and Engineering

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Complex Analysis with Applications in Science and Engineering
Harold Cohen
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Book Description

Complex Analysis with Applications in Science and Engineering weaves together theory and extensive applications in mathematics, physics and engineering. In this edition there are many new problems, revised sections, and an entirely new chapter on analytic continuation. This work will serve as a textbook for undergraduate and graduate students in the areas noted above.

Key Features of this Second Edition:

Excellent coverage of topics such as series, residues and the evaluation of integrals, multivalued functions, conformal mapping, dispersion relations and analytic continuation

Systematic and clear presentation with many diagrams to clarify discussion of the material

Numerous worked examples and a large number of assigned problems

Complex Functions with Applications to Flows and Fields (Mathematical-Physics for Science and Technology)

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Complex Functions with Applications to Flows and Fields (Mathematical-Physics for Science and Technology)
Luis Manuel Braga de Costa Campos
Manufacturer: CRC
ProductGroup: Book
Binding: Hardcover

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