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1. Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems by Murray Spiegel | |
Paperback: 208
Pages
(1974-03-01)
list price: US$19.95 -- used & new: US$10.53 (price subject to change: see help) Asin: 0070602190 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (4)
Several exercises
Good for Fourier analysis and much more
Step-by-step explanations At the end of the chapter, there are exercises to test your knowledge, and most of the answers are in the back of the book.Modeling the exercises on the problems, you can usually work out what you should do for the exercise. This is a good study guide.
Good study aid! |
2. Fourier Analysis by T. W. Körner | |
Paperback: 591
Pages
(1989-11-24)
list price: US$80.00 -- used & new: US$32.77 (price subject to change: see help) Asin: 0521389917 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (7)
Possibly the most fun you can have reading a math book
Disappointing
A beautiful panorama, but unhelpful in some respects
Excellent!
Disappointment. |
3. An Introduction to Fourier Analysis and Generalised Functions (Cambridge Monographs on Mechanics) by M. J. Lighthill | |
Paperback: 80
Pages
(1958-01-01)
list price: US$24.99 -- used & new: US$19.35 (price subject to change: see help) Asin: 0521091284 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Great for self study |
4. Fourier Analysis and Its Applications (Pure and Applied Undergraduate Texts) by Gerald B. Folland | |
Hardcover: 433
Pages
(2009-01-13)
list price: US$72.00 -- used & new: US$65.00 (price subject to change: see help) Asin: 0821847902 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Folland is The One
one of the best books on the subject
Simple yet Instructive and exhaustive |
5. Fourier Analysis (Graduate Studies in Mathematics) by Javier Duoandikoetxea | |
Hardcover: 222
Pages
(2000-12-12)
list price: US$39.00 -- used & new: US$31.20 (price subject to change: see help) Asin: 0821821725 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
6. Exercises in Fourier Analysis by T. W. Körner | |
Paperback: 396
Pages
(1993-09-24)
list price: US$50.00 -- used & new: US$43.33 (price subject to change: see help) Asin: 0521438497 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Routine exercises studded with some gems Nevertheless the book does contain many gems. These are primarily results that depend on some of the same ideas as Fourier Analysis without really being Fourier Analysis. Some of these gems: an "insufficiently asked question of Halmos" (whether there is a uniformly convergent sum that does not satisfy the Weierstrass M-test); a harmonic analysis experiment involving two potatoes and some string; a complete proof of Apery's theorem that the Riemann Zeta Function zeta(3) is irrational; the Feynman trick for evaluating integrals by differentiating under the integral sign; a proof of the Prime Number Theorem; and Karamata's proof of Littlewood's strengthening of Tauber's Theorem. The index is full of jokes; be sure to read the index and browse any interesting-looking items. ... Read more |
7. A First Course in Fourier Analysis by David W. Kammler | |
Paperback: 864
Pages
(2008-01-28)
list price: US$75.00 -- used & new: US$44.89 (price subject to change: see help) Asin: 0521709792 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
This was my favorite text in college.
Not an accurate title
Moder Approach, Good Balance between Theory & Applications In a nutshell this is an excellent textbookfor anyone serious about Fourier Analysis and applying those methods viacomputer (or pencil)to real world situation. This is probably one of thebest books yet on this very important subject. Highly Recommended! ... Read more |
8. Modern Fourier Analysis (Graduate Texts in Mathematics) by Loukas Grafakos | |
Hardcover: 507
Pages
(2008-11-26)
list price: US$69.95 -- used & new: US$48.99 (price subject to change: see help) Asin: 0387094334 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Moreover, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online |
9. Fourier Analysis and Imaging by Ronald Bracewell | |
Hardcover: 704
Pages
(2004-01-31)
list price: US$179.00 -- used & new: US$97.79 (price subject to change: see help) Asin: 0306481871 Canada | United Kingdom | Germany | France | Japan | |
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10. Classical Fourier Analysis (Graduate Texts in Mathematics) by Loukas Grafakos | |
Hardcover: 492
Pages
(2008-10-06)
list price: US$69.95 -- used & new: US$52.79 (price subject to change: see help) Asin: 0387094318 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online |
11. Introduction to Fourier Analysis and Wavelets (Graduate Studies in Mathematics) by Mark A. Pinsky | |
Hardcover: 376
Pages
(2009-02-18)
list price: US$69.00 -- used & new: US$40.00 (price subject to change: see help) Asin: 082184797X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Excellent textbook and reference, which is readable!
Fourier Analysis and Wavelets for Everyone
For the Students! |
12. Fourier Analysis: An Introduction (Princeton Lectures in Analysis, Volume 1) by Elias M. Stein, Rami Shakarchi | |
Hardcover: 320
Pages
(2003-03-17)
list price: US$62.50 -- used & new: US$44.00 (price subject to change: see help) Asin: 069111384X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory. Customer Reviews (8)
Nice book so far
excellent
very good but it is not an introduction
Excellent for an easy intro to distributions and it's applications
OK, but not a masterpiece |
13. Introduction to Fourier Analysis on Euclidean Spaces. (PMS-32) by Elias M. Stein, Guido Weiss | |
Hardcover: 312
Pages
(1971-11-01)
list price: US$97.50 -- used & new: US$64.94 (price subject to change: see help) Asin: 069108078X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
A superb classic in harmonic analysis. This book is one component ofthe Stein trilogy on harmonic analysis (together with "SingularIntegrals and Differentiability Properties of Functions" and"Harmonic Analysis", both also reviewed by myself), and as suchit must be regarded as an authoritative reference on the subject sinceElias Stein and Guido Weiss are two of the leading experts in the field,and the material they selected was taken from their teaching and researchexperience. The contents of the book are: The Fourier Transform; BoundaryValues of Harmonic Functions; The Theory of H^p Spaces on Tubes; SymmetryProperties of the Fourier Transform; Interpolation of Operators; SingularIntegrals and Systems of Conjugate Harmonic Functions; Multiple FourierSeries. Includes motivation and full explanations for each topic,excercises for each chapter, called "further results", andextensive references. Outstanding printing quality and niceclothbound. These three volumes should be present in every analyst'slibrary. Please take a look to the rest of my reviews (just click on myname above). ... Read more |
14. Fourier Analysis, Self-Adjointness (Methods of Modern Mathematical Physics, Vol. 2) by Michael Reed, Barry Simon | |
Hardcover: 361
Pages
(1975-10-12)
list price: US$166.00 -- used & new: US$69.99 (price subject to change: see help) Asin: 0125850026 Canada | United Kingdom | Germany | France | Japan | |
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15. Classical and Modern Fourier Analysis by Loukas Grafakos | |
Hardcover: 870
Pages
(2003-06-14)
list price: US$73.33 -- used & new: US$40.58 (price subject to change: see help) Asin: 013035399X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
New version (s) available |
16. Who Is Fourier?: A Mathematical Adventure by Transnational College of LEX | |
Paperback: 435
Pages
(1995-04-01)
list price: US$29.95 -- used & new: US$24.55 (price subject to change: see help) Asin: 0964350408 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (42)
Excellent intro to wave mechanics
Who is fourier?
Very well written summary of Fourier analysis
Fourier made easy
Who is Fourier ? |
17. Fourier Analysis on Finite Groups and Applications by Audrey Terras | |
Paperback: 456
Pages
(1999-05-01)
list price: US$58.00 -- used & new: US$52.09 (price subject to change: see help) Asin: 0521457181 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Innovative choice of topics, if somewhat sketchy in the presentation
To the point!
Great cross-fertilization book |
18. Fourier Analysis on Number Fields (Graduate Texts in Mathematics) (v. 186) by Dinakar Ramakrishnan, Robert J. Valenza | |
Hardcover: 350
Pages
(1998-12-07)
list price: US$99.00 -- used & new: US$66.00 (price subject to change: see help) Asin: 0387984364 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
An Exellent Introductory Textbook to Modern Number Theory and Automorphic Forms
one more opinion This text could have appeared online as lecture notes, D. Ziegler
A treat for beginners to some exciting areas of mathematics Indeed, existing texts cover most ifnot all of the material in this new book.Others, including some new bookson automorphic forms, take the reader much further.However, not everyonehas the same starting point and all of these can be very frustrating for abeginner.The novelty and utility in this book is that it does not assumethe reader comes from some particular background.Off-hand I could namefive or six other books I would consult to learn the material"FANF" covers.But each comes from a different community ofmathematicians, with their own jargon, in different eras, and are intendedfor different audiences."FANF" sacrifices some proofs forclarity, and gives references to the classical sources for furtherdetails. One of the authors' goals was to give explicit background on thestructure of the fields involved, particularly the delicate arithmeticstructure of number fields which is sometimes frustrating to learn fromother sources.They have covered the structure of locally-compact fieldsvery well and clearly.In fact, in one of our graduate courses at YaleUniversity last fall, lectures on p-adic groups and trees were based out ofthe presentation in "FANF."The book is very concrete, which isespecially useful for analysts who aren't used to doing integrals over,say, function fields in finite characteristic.I think it will be afavorite amongst this community - it treats advanced stages of "mathphobia." At the same time this is the natural book for anintroductory course on modern automorphic forms.It completely covers theGL(1) theory and leaves the reader in an excellent position to continue onto study the Jacquet-Langlands theory.It has a nice treatment ofL-functions, and even includes some analytic results which featureprominently in the recent research of one of the authors.There isn't abook that I know of which fits the nice "FANF" occupies, andbetter yet, it complements the earlier ones very well. Let me justmention two examples of recent research which explain why I think a bookcovering its various topics is so important.Hyman Bass and Alex Lubotzkyfound a counter-example to the Platonov conjecture.This problem involvesthe representation theory of profinite groups, and lattices acting ontrees."FANF" has beautiful treatments of these.At the sametime, a key ingredient of their proof was understanding the cohomology ofdiscrete subgroups of Lie groups.Ultimately this can be interpreted as aproblem in automorphic forms!In fact, they used results of David Voganand Gregg Zuckerman about cohomological representations in their work. Another example is that the "Selberg Property-Tau" has becomevery important in p-adic group theory; it originated as a bound on Laplaceeigenvalues in modular forms.Fortunately these aspects of algebraicgroups are becoming more deeply linked, and "FANF" is amost-recommended book to start learning any of these subjects from. Stephen D. Miller Department of Mathematics Yale University ... Read more |
19. A First Course in Wavelets with Fourier Analysis by Albert Boggess, Francis J. Narcowich | |
Hardcover: 336
Pages
(2009-09-08)
list price: US$99.95 -- used & new: US$63.08 (price subject to change: see help) Asin: 0470431172 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely presenting signal analysis applications and problems. Essential and fundamental ideas are presented in an effort to make the book accessible to a broad audience, and, in addition, their applications to signal processing are kept at an elementary level. The book begins with an introduction to vector spaces, inner product spaces, and other preliminary topics in analysis. Subsequent chapters feature:
Applications to signal processing are provided throughout the book, most involving the filtering and compression of signals from audio or video. Some of these applications are presented first in the context of Fourier analysis and are later explored in the chapters on wavelets. New exercises introduce additional applications, and complete proofs accompany the discussion of each presented theory. Extensive appendices outline more advanced proofs and partial solutions to exercises as well as updated MATLAB® routines that supplement the presented examples. A First Course in Wavelets with Fourier Analysis, Second Edition is an excellent book for courses in mathematics and engineering at the upper-undergraduate and graduate levels. It is also a valuable resource for mathematicians, signal processing engineers, and scientists who wish to learn about wavelet theory and Fourier analysis on an elementary level. Customer Reviews (4)
A necesary textboox
Learn Wavelet
Informative Book for Wavelet Analysis!!!! The author paves the theoretical development about wavelets and multi-resolution analysis EXCELLENTLY. With this book, you can construct wavelets for your own applications in engineering and science disciplines. This book is very good for first year engineering-majored graduate students and all engineering scholars.
A good Starter on Wavelets These first 153 pages serve as a good undergraduate introduction to Fourier analysis. |
20. Fourier Analysis by James S. Walker | |
Hardcover: 462
Pages
(1988-07-14)
list price: US$150.00 -- used & new: US$49.98 (price subject to change: see help) Asin: 0195043006 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Fourier Analysis |
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