UK | Germany |
Home - Books - Science - Mathematics - Infinity | Help |
1-20 of 112 1 2 3 4 5 6 Next 20 |
click price to see details click image to enlarge click link to go to the store
1. Ten Lectures on Wavelets (Cbms-Nsf Regional Conference Series in Applied Mathematics, No 61) by Ingrid Daubechies | |
list price: $64.00
our price: $64.00 (price subject to change: see help) Asin: 0898712742 Catlog: Book (1992-05-01) Publisher: Soc for Industrial & Applied Math Sales Rank: 140696 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient. The opening chapter provides an overview of the main problems presented in the book. Following chapters discuss the theoretical and practical aspects of wavelet theory, including wavelet transforms, orthonormal bases of wavelets, and characterization of functional spaces by means of wavelets. The last chapter presents several topics under active research, as multidimensional wavelets, wavelet packet bases, and a construction of wavelets tailored to decompose functions defined in a finite interval. Because of their interdisciplinary origins, wavelets appeal to scientists and engineers of many different backgrounds. ... Read more Reviews (6)
Over rated
Great for everyone!
Not for the faint of heart!
Theoretical Wonder....but you won't learn wavelets from it!
Ten Lectures on Wavelets |
2. First Course in Wavelets with Fourier Analysis, A by Albert Boggess, Francis J. Narcowich | |
list price: $84.00
our price: $84.00 (price subject to change: see help) Asin: 0130228095 Catlog: Book (2001-01-16) Publisher: Prentice Hall Sales Rank: 350152 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (2)
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. |
3. Introduction to Fourier Analysis and Wavelets by Mark A. Pinsky | |
list price: $101.95
our price: $97.95 (price subject to change: see help) Asin: 0534376606 Catlog: Book (2001-10-19) Publisher: Brooks Cole Sales Rank: 860891 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
For the Students! |
4. Fourier Series and Boundary Value Problems by James Ward Brown, Ruel V. Churchill | |
list price: $121.25
our price: $121.25 (price subject to change: see help) Asin: 0072325704 Catlog: Book (2000-08-02) Publisher: McGraw-Hill Science/Engineering/Math Sales Rank: 330769 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (4)
Excellent The book's main focus is on starting with PDEs and ending with a solution of a Fourier series. The first chapter was the hardest since the approaches to problems were much different than in calculus, but after adjusting to the material and the approaches to the problems, it gets easier!
Great text for an intro to pde's course!
Try Another Text
An excellent book on Fourier Series |
5. Continued Fractions by A. I. Khinchin | |
list price: $8.95
our price: $8.06 (price subject to change: see help) Asin: 0486696308 Catlog: Book (1997-05-14) Publisher: Dover Publications Sales Rank: 101826 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Elementary-level text by noted Soviet mathematician offers superb introduction to positive-integral elements of theory of continued fractions. Clear, straightforward presentation of the properties of the apparatus, the representation of numbers by continued fractions and the measure theory of continued fractions. 1964 edition. Prefaces. ... Read moreReviews (2)
I recommend this book to anyone who loves mathematics. In this short book the first two chapters contain a very clear development of the theory of simple continued fractions, culminating in a proof of Lagrange's theorem on the periodicity of the continued fraction representation of quadratic surds. Chapter three presents Khinchins beautiful and original work on the measure theory of continued fractions. The proofs of the theorems in this chapter are also entirely elementary.
Classic text, however not suitable for a first exposure. The book is brilliant and necessary for understanding continued fractions, but can't stand alone without supplemental material unless one is a professional mathematician. Khinchin frequently employs contrapositive proof formats, and there are occasional translation errors from Russian. The errors range from minor (awkward usage) to major (in one place, the translation is "negative" when it should be "non-negative", which confused me for half a day). ... Read more |
6. Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems by Murray R Spiegel | |
list price: $18.95
our price: $12.89 (price subject to change: see help) Asin: 0070602190 Catlog: Book (1974-03-01) Publisher: McGraw-Hill Sales Rank: 228572 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (2)
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! |
7. An Introduction to Harmonic Analysis (Cambridge Mathematical Library) by Yitzhak Katznelson | |
list price: $29.99
our price: $29.99 (price subject to change: see help) Asin: 0521543592 Catlog: Book (2004-01-05) Publisher: Cambridge University Press Sales Rank: 408850 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (3)
Still one of the best.
Great Introduction to Classical Harmonic Analysis
An essential book for anyone studying Harmonic Analysis |
8. Introduction to Analysis of the Infinite, Book I by Leonhard Euler | |
list price: $79.95
(price subject to change: see help) Asin: 0387968245 Catlog: Book (1988-11-01) Publisher: Springer-Verlag Sales Rank: 749731 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Reviews (1)
Review |
9. Everything and More: A Compact History of Infinity (Great Discoveries) by David Foster Wallace | |
list price: $23.95
our price: $16.29 (price subject to change: see help) Asin: 0393003388 Catlog: Book (2003-10) Publisher: W.W. Norton & Company Sales Rank: 22752 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Amazon.com Reviews (32)
aleph alpha nought nought one now it's probably of some import here that i'm a graduate mathematics student and was really just hoping to read one of my favourite writers thoughts on a subject that i enjoy, but mathematically this book is less-than-ideal. i don't know if someone without the "college math" he so often refers to will be able to get much from his explication of the various mathematical ideas he is presenting (even some of the very early examples meant to ellucidate the paradoxical situations that arise when dealing with infinity as a cardinal are (unnecessarily) confusing). so, basically, read the book. it's wallace at times, and those times make it worthwhile. if you want an introduction to set theory, look elsewhere (even to cantor himself), and then come back and read this because it really is a nice book at times (i mean (tautologically), when he's on, he's on). p.s. something i'd meant to mention the first time around: wallace discusses some (of the many) ways in which infinity gives us trouble, and he speaks (often at length) about various interesting aspects of these difficulties, but he fails entirely to mention a most important fact: we have no "direct" word for the infinite. our only means of describing these objects is to call them non-finite. this linguistic/conceptual failing occurs not once, but twice, in that we have various infinities of two basic types: countable (the "smaller" of the two) and (you guessed it) uncountable. that he failed to cover this is, i think, quite representative of the failings of this book. but again, i highly recommend the book, 100% (ummmm, you see, "100%" is one of the shining moments of this book, but until you've read it, you won't really get to enjoy that. a shame, no?)
Good, but flawed But the mathematical mistakes just spoil everything. Like the proof of dichotomy convergence using Weierstrass delta-epsilon thing for continuity. What was that? Looked like the author himself didn't quite understand what he was trying to do, so he just crumpled the proof: "Hence... Hence...".
A fellow of infinite jest? The arrogant mannerisms, cliches and hackneyed phrases, ideosyncratic abbreviations, and lack of linear structure make it a book that, once you put it down, is hard to pick up again. I bought this book hoping to bring away from it some fresh perspectives on infinity, to benefit the calculus students I am teaching. I left it empty-handed.
Paradoxically flawed Wallace begins with a series of anecdotes that promised to fill the bill, leavened with plain talk and a bracing occasional bit of scatology. But the book's reliance on advanced notation -- much of it impenetrable even to this reader, despite four years of college math (up to differential equations!) -- soon kills the narrative flow. Wallace's parenthetical asides and copious footnotes sometimes provide illumination, but the book's scattershot structure belies the dust jacket's promise of "a literary masterpiece." Even Wallace himself acknowledges the book's shortcomings, apologizing at several points for convoluted sentences, bewildering explanations and jumbled storytelling. A good editor could have helped him cut those knots, isolating the advanced math or otherwise rendering it intelligible, allowing him to deliver what author James Gleick hails in his promotional blurb as "exquisitely (and hilariously) original science writing." (Did Gleick and the other reviewers survive the entire book? Or did they just get the funny parts?) Reading "Everything and More" was like being trapped in a literary version of Zeno's Paradox: Finishing half the book, then struggling to complete half of what remained, then half of that ... I finally just gave up, disillusioned.
Everything and More: A Compact History of Infinity |
10. Understanding the Infinite by Shaughan Lavine | |
list price: $23.50
our price: $23.50 (price subject to change: see help) Asin: 0674921178 Catlog: Book (1998-03-01) Publisher: Harvard University Press Sales Rank: 518806 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Reviews (1)
Important Contribution to Modern Epistemology Understanding the Infinite is a work of epistemology. Its contribution to the foundations of general knowledge demand that it disseminate beyond academia, although the ground Lavine breaks requires the extensive citations and technical style he employs. The author poses and addresses the following question. If set theory is so intuitively self-evident and seemingly such a fundamental underpinning of all mathematics, why is it so hard to express technically and why has the axiomatization of set theory been so controversial? Set theory was the big idea which the mid-20th century educational establishment thought important enough to indoctrinate schoolchildren with in the guise of new math. Yet set theory never took root in popular consciousness, certainly not the notion of transfiniteness. Lavine starts out by dispelling the anecdotal account of the development of set theory, which has misled even professional mathematicians and philosophers to conclude "The fundamental axioms of mathematics...are to a large extent arbitrary and historically determined." He constructs what he claims is the correct historical development of set theory (I'll let historians of mathematics decide this) including sidetracks into Russell's failed program to equate mathematics and logic (and in the process dispels the significance of Russell's paradox), and von Neumann's axiomatization of set theory emphasizing functions. The outcome of his exposition is the Zermelo-Fraenkel axiomatization with the Axiom of Choice (ZFC), today's common form of set theory. These chapters by themselves could serve as an introduction to set theory, except that the Continuum Hypothesis is barely mentioned, since it plays no role in Lavine's program. Admittedly, he has nothing new to add. The main event is Lavine's epistemological tour-de-force. Building upon work of Jan Mycielski he introduces the reader to the concept of finitary mathematics and constructs a finitary ZFC, showing that this theory justifies the adoption of what he calls the "Axiom of Zillions" (indefinitely large sets) in which we have access to very large sets' ordinal, but not necessarily its predecessors. The final step is to show this all "intuitively" extrapolates to ZFC. QEF, QED. I introduced physics in the opening paragraph of this review because I see Lavine's rigorous treatise in the epistemology of mathematics as a contribution to the grand unification of physics, mathematics, and epistemology. Lavine treads lightly in the physical realm. He writes "...modern physics makes it seem likely that the physical universe is of finite extent..." All of the dominant cosmologies put forth in the 20th century incorporated this misdirection set off by general relativity. On a large scale the universe must be curved. Ironically Lavine published in 1994, just as new astronomical observations began whispering "in three dimensions the universe is Euclidean". If that whisper becomes a shout in the 21st century, as appears likely from the mounting evidence, physics will have to address the transfinite. The Calculus had to be put on a firm theoretical foundation so that it could be used as a tool to advance knowledge without justifying its use. We may see that Lavine's epistemology will do the same for set theory and transfinite numbers. ... Read more |
11. Understanding FFT Applications, Second Edition by Anders E. Zonst | |
list price: $34.95
our price: $29.71 (price subject to change: see help) Asin: 0964568144 Catlog: Book (2003-11) Publisher: Citrus Press Sales Rank: 258591 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description The presentation is unique in that it avoids the calculus almost (but not quite) completely.It's a practical "how-to" book, but it also provides down to earth understanding. This book developes computer programs in BASIC and the reader is encouraged to type these into a computer and run them; however, for those who don't have access to a BASIC compiler you may down load the programs from the internet (contact Citrus Press for URL). The potential buyer should understand that presentations are frequently started at an elementary level.This is just a technique to establish the foundation for the subsequent discussion, intended for those who don't already understand the subject (the material usually comes quickly to the problem at hand).The book is written in an informal, tutorial style, and should be managable by anyone with a solid background in high school algebra, trigonometry, and complex arithmetic.Zonst has included the mathematics that might not be available in a high-school curriculum; so, if you managed to work your way through the first book, you should be able to handle this one. For those familiar with the first edition of this book, the most prominant feature of this revised edition will be its improved coherence and readability. ... Read more |
12. Introduction to Fourier Analysis by NormanMorrison | |
list price: $150.00
our price: $150.00 (price subject to change: see help) Asin: 047101737X Catlog: Book (1994-10) Publisher: Wiley-Interscience Sales Rank: 823691 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
Good choice for the novice interested in Fourier Analysis Throughout my graduate career, I searched desperately for a book that covered Fourier Analysis in a manner that would be lucid to a novice. Of all the books that I've seen dealing with the subject, I rank Morrison's as the best in this category. Most books dealing with Fourier Analysis appear to be written for someone with a degree in mathematics. Although I would say that this book is an excellent introduction to Fourier analysis and the Fourier transform, the reader must possess a strong working knowledge of calculus at the least. The book is presented in the classic textbook format, where each section is introduced and explained with examples, then a series of problems are presented to reinforce the concepts presented. The first half of the book covers continuous Fourier analysis, and the second half of the book covers discreet Fourier analysis. Some may argue that these two concepts could have been introduced simultaneously, however I found this dichomtomy to be an effective way of presenting the material. The book is geared towards undergraduate students of electrical engineering, but I think that it is appropriate for anyone wishing to learn Fourier analysis. The book is replete with exercises to be completed with the accompanying diskettes (both Mac and PC are included), but I never used them. This book is the best I've seen dealing with the subject, but I did have to proceed very slowly. I did not understand all of the concepts presented, perhaps because of my limited mathematics background (as high as calculus). For this reason, I rate the book a seven. ... Read more |
13. The Art of the Infinite: The Pleasures of Mathematics by Robert Kaplan, Ellen Kaplan | |
list price: $26.00
our price: $17.16 (price subject to change: see help) Asin: 019514743X Catlog: Book (2003-02-01) Publisher: Oxford University Press Sales Rank: 74567 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (6)
As complex as math can be.
Is the Prose Delightfully or Excessively Rich? I was at first tempted just to dismiss this style as mere overwriting, but as I read further I started to see that it nicely fit the remarkable turns of thoughts of the master mathematicians as they tested their brains on the challenges of number and space. The more-than-quirky prose, including its philosophical and quasi-religious asides, definitely adds to the interest and instructiveness of the book, I finally decided. This book is, as you can imagine, far more absorbing than the school math most of us were subjected to. Five stars.
The proof of a.0 = 0 is incomplete. Line 1: a.0 = a(1-1) since (1-1) is shorthand for 1+(-1), distributivity only yields a(1-1) = a[1+(-1)] = a.1+a(-1) so that going from Line 1 to Line 2 implicitly assumes that a(-1) is equal to -a, which has not been previously established from the axioms.
Great Math..... Obscure Prose
To Infinity, And Beyond! As you might expect, things start simple and get very complicated, and this is true right off in the first chapter, considering more and more complicated numbers. The Natural Numbers are introduced with patterns, as if you had stones to position on a table. 1, 3, 6, and 10 stones make pleasing equilateral triangles, and 1, 4, 9, and 16 make pleasing squares. We move from these to zero and negative numbers: "Certainly zero and the negatives have all the marks of human artifice: deftness, ambiguity, understatement." Are these numbers invented or discovered? The profundity of this question is plumbed throughout the book. Rationals, irrationals, and finally the complex numbers are all included. As the numbers mount up, the irregularity and regularity of the primes is considered, one of the most fruitful arenas of number theory. Euclid had to make an assumption about the infinite, his famous fifth postulate; but it is only an assumption; assuming that parallel lines meet eventually produces also a worthy geometry that tells us much about how the Einsteinian universe works. But there is no need to look into these strange worlds to find wonders; before leaving Euclid's terra firma, we are reintroduced to the triangle, and are presented with some astonishing revelations of secret points within and around the simple three sides that will remind you that no matter how simple things look, or even how simple things are, everything is more complicated than you can imagine. And if you want your infinities more complicated still, the final chapter has to do with Cantor's work. Common sense tells us there must be half as many even numbers as there are whole numbers, but Cantor showed that the infinity of both was equal. He showed that the infinite number of points in a line as long as your finger was equal to the infinite number in a line as long as from here to the Sun. In fact, the number of points on a line is equal to the number of points in a plane. And yet, some infinities are bigger than others. This is strange territory indeed, and requires some concentration to understand and enjoy, even with the Kaplan's literate, witty, and clear explanations. This is a fine introduction to different aspects of serious mathematics; true to its subtitle, it is a book full of pleasures. ... Read more |
14. Theory and Application of Infinite Series by Konrad Knopp | |
list price: $19.95
our price: $13.57 (price subject to change: see help) Asin: 0486661652 Catlog: Book (1990-04-01) Publisher: Dover Publications Sales Rank: 407632 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (4)
How to tell if you are a "formalist" -- Professional mathematician will find this book useful for filling in gaps left by topics not covered in traditional courses. An example is the detailed discussion of Euler's summation formula, which goes far beyond the simplified form usually encountered in textbooks. Another fascinating topic covered is divergent series, and methods by which meaningful sums can be assigned to these. There is something counterintuitive -- and, frankly, mind-boggling -- about many of these results. I take this digression because I feel that this book mainly appeals to the fourth type of mathematician. Although there are some general results in the theory of infinite series, any competent mathematicians can, in a few minutes, write a dozen infinite series which defy summation. As an example, the series associated with the Riemann zeta function of EVEN arguments were first summed by Euler. The sums arising from ODD arguments have defied summation to this day. Why this should be so is intriguing, but unknown. Incidentally, Euler's method of summation will make a "rigorists" hair stand upon ends. But he got the job done!
This is an ok book
A Truly Marvelous Value
The best book on infinite series |
15. Automatic Sequences : Theory, Applications, Generalizations by Jean-Paul Allouche, Jeffrey Shallit | |
list price: $50.00
our price: $39.50 (price subject to change: see help) Asin: 0521823323 Catlog: Book (2003-07-21) Publisher: Cambridge University Press Sales Rank: 691539 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
It will be the prime resource of the area for years to come |
16. First Course in Fourier Analysis, A by David W. Kammler | |
list price: $100.00
our price: $100.00 (price subject to change: see help) Asin: 0135787823 Catlog: Book (2000-04-24) Publisher: Prentice Hall Sales Rank: 170564 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (2)
Elegant, Sophisticated Math, Great Examples & Problems The first several chapters introduce fourier transforms and related math such as convolutions as a set of operations in a variety of spaces, including continuous, discrete and periodic spaces. Then the text goes into the theory of distributions/generalized functions and solutions of differential equations. Several additional chapters take the subject into wavelets. The presentation of the Fourier transforms having a variety of manifestations in different kinds of spaces unifies in a fundamentally harmonious (no pun intended!) and beautiful way the disjoint and arbitrary Fourier processing taught to engineering undergraduates.
Moder Approach, Good Balance between Theory & Applications In a nutshell this is an excellent textbook for anyone serious about Fourier Analysis and applying those methods via computer (or pencil) to real world situation. This is probably one of the best books yet on this very important subject. Highly Recommended! ... Read more |
17. Sampling Theory in Fourier and Signal Analysis: Foundations (Oxford Science Publications) by J. R. Higgins | |
list price: $105.00
our price: $105.00 (price subject to change: see help) Asin: 0198596995 Catlog: Book (1996-07-01) Publisher: Oxford University Press Sales Rank: 1353411 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
18. Wavelets : A Tutorial in Theory and Applications (Wavelet Analysis and Its Applications, Vol 2) by Charles K. Chui | |
list price: $99.95
our price: $99.95 (price subject to change: see help) Asin: 0121745902 Catlog: Book (1992-01-17) Publisher: Academic Press Sales Rank: 1000149 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description
Reviews (1)
Slightly outdated but solid book - more theory than apps At the time of its publication, this book was one of the better applications books, the other two comparable applications books were edited by: (1) Combes et al. (2) Ruskai et al.. This book has many more references to relevant works than the Combes and Ruskai books. Unfortunately, 8 years have passed since the publication of this book, and a lot of progress takes place in the field of wavelets. Some techniques which looked promising 8 years ago did not live up to expectations, and some new ideas with very practical applications are not addressed in this book. This second remark may not be entirely fair since applications of wavelets have become so widespread that it would be impossible for any one book to cover all. This book does not contain problems to assign for homework. It might be appropriate to use some chapters in the book for supplementary reading. in a graduate course or in an upper division special topics course. Unfortunately, the price is a bit high to make it required reading as a supplementary text for a course. Some of the the theoretical papers, particularly the first 3 in Section I would not be of interest to applications oriented people since no work has followed from these papers. They are very specialized theoretical works.The papers in Section II cover topics which have become a standard tools in wavelet analysis, e.g., splines, biorthogonal wavelets, multiresolution analysis (MRA).Papers in Section III are a bit outdated. There was a period when wavelets were hyped and people in the research community believed that they could lead to improvements in the solution of PDEs. Unfortunately, few new practical tools have emerged. Only the paper on MRA in section IV may be of interest to a wide audience, but it too is rather theoretical. Sections V VI and VII were intended to cover applications to digital signal processing (DSP). If the primary interest of a reader is DSP, this is the wrong book to purchase in this day and age. Mallat's book: a Wavelet Tour of Signal Processing is far more comprehensive and up-to-date. ... Read more |
19. Fourier Analysis and Its Applications (Wadsworth and Brooks/Cole Mathematics Series) by Gerald B. Folland | |
list price: $149.95
our price: $149.95 (price subject to change: see help) Asin: 0534170943 Catlog: Book (1992-01-06) Publisher: Brooks Cole Sales Rank: 213134 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (3)
Folland is The One
The best book on the subject
Simple yet Instructive and exhaustive |
20. Sequences, Combinations, Limits (Library of School Mathematics, V. 3) by S. I. Gelfand, M. L. Gerver, A. A. Kirillov, N. N. Konstantinov, A. G. Kushnirenko, Leslie Cohn, Joan Teller | |
list price: $8.95
our price: $8.95 (price subject to change: see help) Asin: 0486425665 Catlog: Book (2002-09-01) Publisher: Dover Pubns Sales Rank: 394687 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
1-20 of 112 1 2 3 4 5 6 Next 20 |