GOLSCO Books Online Store  UK  Germany 
books  baby  camera  computers  dvd  games  electronics  garden  kitchen  magazines  music  phones  software  tools  toys  video 
Help 
Books  Computers & Internet  Certification Central  MindNumbing Math and Engineering 
110 of 10 1 
Featured List  Simple List 


Go to bottom to see all images
Click image to enlarge
Real Analysis (3rd Edition) by H.L. Royden Average Customer Review: Hardcover (01 May, 1988) list price: $102.67  our price: $102.67 (price subject to change: see help) US  Canada  United Kingdom  Germany  France Reviews (16)
Excellent Moore Method Intro Text The biggest downside however is that most graduate students don't have the time needed to dedicate to the various problems in this text, which is why Royden is probably not the best choice for a first year graduate text. Instead I would recommend Bartle's Elements of Integration and Lebesgue Measure as a first year grad text on the subject. It was disappointing to use Bartle and discover that so many of the problems in Royden, which I had spent countless hours attempting to prove, had been completely worked out in Elements of Integration. In short, Royden makes you work for many (most?) important results, and in the long run this makes for a much stronger understanding of the material if you have the time to devote to it.
Not bad for selfstudy, excellent for reference
this book is just plain good. Isbn: 0024041513 
$102.67 
Real Analysis : Modern Techniques and Their Applications by Gerald B.Folland Average Customer Review: Hardcover (02 April, 1999) list price: $105.00  our price: $94.50 (price subject to change: see help) US  Canada  United Kingdom  Germany  France Reviews (5)
Frustrating
Could have been great Positives: The book is well organized. It builds in a reasonable way so that I could focus on the material in the book and develop my understanding as I went. The book is reasonably well contained. Outside of a reasonable level of basics (a BA or BS in math) the proofs and most of the problems use material developed earlier in the text. I found the book very interesting  I especially liked the topics presented in the last few chapters. Negatives: Lots of typos  the author's errata sheet is woefully incomplete. Too few expamples. Too condensed  sometimes to the point of incomprehensibility or even error. The contents of a whole course may be condensed in to a single chapter or even a single section. Things to be aware of: You should be comfortable with advanced calculus, topology, set theory, and algebra (linear and modern). It also helps to have had some basic real analysis. I highly recommend that you've seen Fourier transforms, Dirac deltas (distributions), and continuous probability. You aren't going to learn these here  you're going to see how measure theory is applied to them.
TOO MANY TYPOS. Isbn: 0471317160 
$94.50 
Real and Complex Analysis by Walter Rudin Average Customer Review: Hardcover (01 May, 1986) list price: $150.55  our price: $150.55 (price subject to change: see help) US  Canada  United Kingdom  Germany  France Reviews (15)
A Comprehensive Guide to Analysis For example, the construction of Lebesgue measure is considered one of the most important topics in graduate analysis courses. After this construction, more abstract measures are developed, and then one proves the Riesz Representation Theorem for positive functionals later. Conversely, Rudin develops a few basic topological tools, such as Urysohn's Theorem and a finite partition of unity, to construct the Radon measure needed in a sweeping proof of Riesz's Theorem. From this, results about regularity follow clearly, and the construction of Lebesgue measure involves little more than a routine check of its invariance properties. Another example of where Rudin takes a more theoretical approach to provide a more elegant, yet less intuitive proof, is the LebesgueRadonNikodym theorem. Other books generally introduce signed measures with several examples, and use this result, along with properties of measures to derive the proof. On the other hand, since the first half of the book contains an intermission on Hilbert Space, Rudin uses the completeless of L^2 and the Riesz Representation Theorem for a more sweeping proof. In the real analysis section, Rudin covers advanced topics generally not covered in a first course on measure theory. The chapters on differentiation and Fourier analysis are key examples of this. Rudin uses maximal functions to develop the Lebesgue Point theorem and results from complex analysis, and provides an incredibly thorough proof of the changeofvariables theorem. The ninth chapter, on Fourier transforms, relies heavily on convolutions, which are developed as a product of Fubini's theorem. This, in turn, is used to prove Plancherel's theorem and the uniqueness of Fourier transforms as a character homomorphism. The tenth chapter, on basic complex analysis, essentially covers an entire undergraduate course on the subject, with added results based on a solid knowledge of topology on the plane. Once a solid foundation on the topic is laid, Rudin can develop more advanced topics from Harmonic analysis using general results from real analysis like the HahnBanach theorem and the Lebesgue Point theorem (for Poisson integrals). Most of the basic results from the power series perspective are covered in the text, but while the geometric view is examined, it is still done in a very analytic, formulabased way that does not allow the reader to gain too much intuition. Nonetheless, all the basic results are covered, and Rudin uses these to develop the main theorems, such as the MittagLeffler and Weierstrass theorems on meromorphic functions, and the Monodromy Theorem and a modular function used to prove Picard's Little Theorem. As an introductory text, even for advanced students, Rudin should probably be accompanied by more descriptive texts to develop better intuition. In fact, I would recommend Folland's Real Analysis and Ahlfors' Complex Analysis for selfstudy, because the problems are easier and one can learn better through those. With a good instructor, though, Rudin's text is concise and elegant enough to be both useful and enjoyable. It is also a good test to see how well one REALLY knows the subject.
Excellent, often intriguing treatment of the subject
Welcome to the selfservice analysis center! Also, Rudin does not discuss some of the more advanced or interdisciplinary topics such as distribution theory (Sobolev spaces, weak derivatives, etc.) or applications of measure theory to the probability theory, both explored in the book by Folland. Last but not least, it's worth noting that contrary to the common practice, Folland includes many endofchapter notes where he outlines some important historical aspects of the development of the topics, and also gives a few references for further study. For example, in the notes section at the end of the chapter on Lebesgue integration, he mentions and briefly outlines the basics of the theory of "gauge integration" (also called HenstockKurzweil theory) which serves to construct a more powerful integral than that of the Lebesgue's. As another instance, having already defined and used "nets" within the chapter on topology, in the endnotes Folland also introduces "filters" and "ultrafilters". These are all machineries which have been developed to play the role of the metric space sequences in general (locally Hausdorff) topological spaces, but for some historical reasons, ultrafilters have nowadays taken a backseat to the nets (the older general topology books usually prove the Tychonoff theorem using ultrafilters). All said, I can recommend taking up Royden as your very first approach to measure theory, then based on how well you think you have learned the first course, move on to either Rudin or Folland for a more advanced treatment. Please note that the other books I have mentioned above do not discuss complex analysis, a subject which is also masterfully presented in Rudin. There are however a few other equally wellwritten complex analysis books to pick from, for example John B. Conway's classic from the SpringerVerlag graduate series, or L.V. Ahlfors' masterpiece, to name just a couple. ... Read more Isbn: 0070542341 
$150.55 
Functions of One Complex Variable I (Graduate Texts in Mathematics 11) by John B. Conway Average Customer Review: Hardcover (August, 1978) list price: $54.95  our price: $46.71 (price subject to change: see help) US  Canada  United Kingdom  Germany  France Reviews (1)
A good book for a beginning graduate student. Isbn: 0387903283 
$46.71 
Functions of One Complex Variable II by John B. Conway Hardcover (01 May, 1995) list price: $54.95  our price: $47.26 (price subject to change: see help) US  Canada  United Kingdom  Germany  France Isbn: 0387944605 
$47.26 
Functional Analysis by Walter Rudin Average Customer Review: Hardcover (01 January, 1991) list price: $140.60  our price: $140.60 (price subject to change: see help) US  Canada  United Kingdom  Germany  France Reviews (4)
Decent book, if you can get it cheap With that said, I don't like this book as much. Perhaps because the problems don't provide great movitation for the theorems in any event, I would recommend using at least two books to understand functional analysis. One that emphasizes a rigorous approach to the theory involved, and another more applied book that allows you to play with the new tools to solve the problems functional analysis was invented to solve; quantum mechanics, for example. Reed and Simon is a good book, although I'm sure physicists or physics students would probably complain about it for the same reason I like it its very mathematically rigorous and has a ton of problems 30 to 60 on average at the end of each chapter, with only a few digressions into applications into quantum physics or elementary QFT. Get this with some Springer text, like Elements of Functional Analysis. One more note Rudin's book is broken up into three parts one on TVS (Topological vector spaces) that combines topological properties of a space (for example, local convexity or local compactness) with the usual vectorspace operations to set the spaces where operators act. The second section deals with distributions I regret that one failure of "Adult Rudin" was to emphasize the abstract integral as a linear functional, because this would have helped to make the concept of a distribution more clear. While the introduction to distributions and their connections to Fourier analysis and differential equations is nice, the text gets bogged down with proofs about convolutions that are highly technical (and make either good practice or a good time for Rudin to actually use, for once, "The details are left to the reader..."). Finally, Rudin introduces operator theory, although it could go much more smoothly the proofs come off as way too technical, a far cry from the "slickness" his proofs are often accused of being in the graduate analysis text. All in all, there's some interesting problems to do, but you're not going to understand the applications of Functional Analysis to quantum mechanics or PDE (other than distributions a little), where other, more applied (read: easier) books may give nice problems about applications of Hilbert space methods, such as variational techniques or Fredholm theory.
Modern topics in math.
The Bible on Distributions Isbn: 0070542368 
$140.60 
Linear Algebra and Its Applications by Gilbert Strang Average Customer Review: Hardcover (1988) list price: $106.00  our price: $106.00 (price subject to change: see help) US  Canada  United Kingdom  Germany  France Reviews (47)
A great book The one thing I really enjoy about his texts is that his writing, even on basic material, sometimes contains very deep insights into the underlying structure of the mathematics. Understanding a Strang textbook is the difference between actually _understanding_ mathematics and just being able to do it. So I heartily endorse this book. If you want a higherlevel text, I'd suggest Demmel's Applied Numerical Linear Algebra. But reading this book still wouldn't hurt.
Excellent development of the subject
Insight not rigor Before this book, I found the subject of linear algebra to be dry and lacking any interest due to the manner it was presented. It is actually one of the most interesting and directly applicable areas for an industrial mathematician to have as a background. Having steered several fellow workers to this book, I have consistently received positive feedback as to it's content. Another book I can recommend with a similar style is "The variational Principles of Mechanics" by Lanczos. ... Read more Isbn: 0155510053 
$106.00 
Optimal Control, 2nd Edition by Frank L.Lewis, Vassilis L.Syrmos Average Customer Review: Hardcover (20 October, 1995) list price: $110.00  our price: $110.00 (price subject to change: see help) US  Canada  United Kingdom  Germany  France Reviews (3)
Great book on optimal controls This book is an excellent introductory guide to the fascinating world of optimal controls.
a good book
Adequate. Isbn: 0471033782 
$110.00 
Nonlinear and Adaptive Control Design by MiroslavKrstić, IoannisKanellakopoulos, Petar V.Kokotovic Average Customer Review: Hardcover (May, 1995) list price: $125.00  our price: $108.75 (price subject to change: see help) US  Canada  United Kingdom  Germany  France Reviews (1)
Everything about adaptive control. Isbn: 0471127329 
$108.75 
Adaptive Control (2nd Edition) by Karl Johan Astrom, Bjorn Wittenmark Average Customer Review: Hardcover (01 December, 1994) list price: $120.00  our price: $120.00 (price subject to change: see help) US  Canada  United Kingdom  Germany  France Reviews (4)
Very Good Book to Study Adaptive Control
Best First Book on Subject
Skips some math, but implementable algorithms Isbn: 0201558661 
$120.00 
110 of 10 1 
Books  Computers & Internet  Certification Central  MindNumbing Math and Engineering (images) 
Images  110 of 10 1 
Images  110 of 10 1 