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Books - Science - Mathematics - Pure Mathematics - Functional Analysis

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1. Precalculus Enhanced With Graphing
$112.03
2. Differential Equations and Boundary
$96.60
3. Functional Analysis (Pure and
$103.00
4. Analysis: With an Introduction
$126.00
5. Functional Analysis
$111.00
6. Partial Differential Equations
$34.99
7. Enumerative Combinatorics: Volume
$44.46
8. Problems and Solutions for Undergraduate
$109.95
9. Green's Functions with Applications
$134.38
10. Complex Variables and Applications
$111.00
11. Fundamentals of Complex Analysiswith
$83.95
12. Introductory Functional Analysis
$138.95
13. Differential Equations with Boundary-Value
$59.95
14. Wavelets through a Looking Glass
$131.80
15. Differential Equations with Boundary
$76.07
16. Matrix Mathematics: Theory, Facts,
$42.96
17. Representation Theory: A First
$123.95
18. Functions Modeling Change :A Preparation
$33.62
19. An Introduction to Morse Theory
$65.00
20. The Illustrated Wavelet Transform

1. Precalculus Enhanced With Graphing Utilities (3rd Edition)
by Prentice Hall
Hardcover (03 April, 2002)
list price: $120.67
Isbn: 0130659150
Sales Rank: 196763
Average Customer Review: 5.0 out of 5 stars
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Reviews (2)

5-0 out of 5 stars Came in a good condition and very timely shipping
Came in a good condition and very timely shipping

5-0 out of 5 stars Best math textbook I ever used!
After going back into this book more and more I can only revise my opinion upward. Sullivan covers almost every topic before calculus and does it in a very straightforward manner. The text has rigor proving many important statements but this is never used in sacrifice of understanding. The student solution manual is also great and highly recomended. A great text and reference book. ... Read more

Subjects:  1. Algebra - General    2. Calculus    3. Functional Analysis    4. Functions    5. Graphic calculators    6. Mathematics    7. Science/Mathematics    8. Theory Of Functions    9. Mathematics / Calculus   


2. Differential Equations and Boundary Value Problems: Computing and Modeling, Third Edition
by Prentice Hall
Hardcover (18 June, 2003)
list price: $131.80 -- our price: $112.03
(price subject to change: see help)
Isbn: 0130652458
Sales Rank: 206397
Average Customer Review: 3.0 out of 5 stars
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Reviews (19)

3-0 out of 5 stars Could be better
I don't think this is a good book for learning from, but if you know the material, it is a good reference.

5-0 out of 5 stars Differential equation text
The textbook was in good condition and i recieved within a week

4-0 out of 5 stars Pretty good
Not a bad book at all. Physical applications well explained, theory OK but not as good in my opinion. Unfortunately, contains a fair number of typos, and the book is physically weak (the binding of mine is splitting after only 4 months of use) for a book of this price. Still, pretty good overall. ... Read more

Subjects:  1. Advanced    2. Boundary Value Problems    3. Differential Equations    4. Functional Analysis    5. Mathematics    6. Science/Mathematics    7. Mathematics / Advanced   


3. Functional Analysis (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)
by Wiley-Interscience
Hardcover (04 April, 2002)
list price: $115.00 -- our price: $96.60
(price subject to change: see help)
Isbn: 0471556041
Sales Rank: 193500
Average Customer Review: 5.0 out of 5 stars
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Reviews (3)

5-0 out of 5 stars Functional analysis
This is a very elegant text. The analysis theorems and proofs are well explained and connected with operator theory. The exercises are well chosen to further the reader's understanding of the subject.
5-0 out of 5 stars Excellent
Peter D Lax is one of the great mathematicians of the 2nd half of the 20th century. Buy this book if only to have it on your bookshelf. After a long day of suffering fools and putting up with the latest insanities of your university administrators, leaf through Lax's book to recover. This is mathematics at its best. What better use can we put mathematics to, than to help us regain our sanity in a world that's gone mad.

5-0 out of 5 stars Brings the subject to life!
The subject of functional analysis, while fundamental and central in the landscape of mathematics, really started with Read more

Subjects:  1. Functional Analysis    2. Mathematics    3. Science/Mathematics    4. Mathematics / Functional Analysis   


4. Analysis: With an Introduction to Proof (4th Edition)
by Prentice Hall
Hardcover (29 November, 2004)
list price: $107.20 -- our price: $103.00
(price subject to change: see help)
Isbn: 0131481010
Sales Rank: 227994
Average Customer Review: 4.5 out of 5 stars
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Reviews (4)

5-0 out of 5 stars Great intro to Real Analysis
Lay's book is my second favorite book on introductory level real analysis--please see my review of Elementary Analysis by Kenneth Ross.Ross somehow covers a lot more material, and quite a bit more clearly than Lay, BUT, the first two chapters of Lay's book covering axiomatic set theory are wonderfully written.I particularly love the clearly written coverage of the paradoxes contained in the Fraenkel-Zermalo Axioms, in Particular the Banach-Tarski paradox which states that a solid sphere of radius A < B can be cut an pasted into a sphere of radius B. Then, from chapter 3 onwards, Lay and Ross pretty much follow each other, Lay being more wordy than Ross, Ross being far more clear than Lay.
5-0 out of 5 stars good to go
The book arrived in good condition and I have not had any problems with it.

4-0 out of 5 stars Definitely a good first text
I bought this book because I have been looking for a Introductory analysis text that isn't too advanced, but yet doesn't gloss over the essential stuff, and I found it in Lay's book.For the self-studier, this book is excellent!I have several books on analysis: Shilov, Kolomogorov, Rosenlicht, Ross,etc...For the beginner, this book is superior to all of them.A plethora of examples.Also, a good range of problems:from straight forward problems requiring only the use of a definition to more advanced problems requiring a little thought.If you already have had some Analysis, then this book is probably not for you.But, if you are a student who wants to learn Analysis on your own, then this book would be hard to beat.After this book, one should be able to tackle "Papa Rudin".For according to Rudin, all that is needed to study his "Real and Complex Analysis" tome, is the first seven chapters of his "Principles of Mathematical Analysis".This book covers all that Rudin covers with the exception of Riemann-Stieltjes integration.On the whole, this is a great start!If proof-based math is new to you, then you will appreciate the first chapter on proofs.Would have given five stars, but I would have liked to seen Riemann-Stieltjes integration.That's really only nit picking, though. ... Read more

Subjects:  1. Functional Analysis    2. Logic    3. Mathematical And Symbolic Logic    4. Mathematical analysis    5. Mathematics    6. Proof theory    7. Science/Mathematics    8. Set Theory    9. Mathematical logic    10. Mathematics / Advanced    11. Mathematics and Science    12. Real analysis   


5. Functional Analysis
by McGraw-Hill Science/Engineering/Math
Hardcover (01 January, 1991)
list price: $140.00 -- our price: $126.00
(price subject to change: see help)
Isbn: 0070542368
Sales Rank: 92501
Average Customer Review: 4.5 out of 5 stars
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Reviews (4)

3-0 out of 5 stars Decent book, if you can get it cheap
I strongly urge any serious math student to own a copy of both Rudin's Principles ("Baby Rudin") and his Real and Complex Analysis ("Adult Rudin").The former is absolutely essential- without completely mastering continuity and convergence on the basic metric space topology on R^n, higher math is going to be quite a pain.The second is good because it puts the major ideas of basic analysis- Radon measures, L^p spaces, rudiments of Hilbert and Banach Spaces, differentiation and integration, Fourier and Harmonic Analysis, Holomorphic and meromorphic functions, etc. all in one nice volume, although the problems may be too challenging or tangential to master the material by doing them.5-0 out of 5 stars Modern topics in math.
"Modern analysis" used to be a popular name for the subject of this lovely book. It is as important as ever, but perhaps less "modern". The subject of functional analysis, while fundamental and central in the landscape of mathematics, really started with seminal theorems due to Banach, Hilbert, von Neumann, Herglotz, Hausdorff, Friedrichs, Steinhouse,...and many other of, the perhaps less well known, founding fathers, in Central Europe (at the time), in the period between the two World Wars. In the beginning it generated awe in its ability5-0 out of 5 stars The Bible on Distributions
No other book covers the elements of distributions and the fourier transform quite like Rudin's Functional Analysis.This is a must for every budding PDE-er! ... Read more

Subjects:  1. Advanced    2. Functional Analysis    3. Mathematics    4. Science/Mathematics    5. Mathematics / Functional Analysis   


6. Partial Differential Equations and Boundary Value Problems with Fourier Series (2nd Edition)
by Prentice Hall
Hardcover (14 May, 2004)
list price: $111.00 -- our price: $111.00
(price subject to change: see help)
Isbn: 0131480960
Sales Rank: 244576
Average Customer Review: 5.0 out of 5 stars
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Reviews (3)

5-0 out of 5 stars Partial Differential Equations and Boundary Value Problems
I think this book is Possibly the best Mathematic book for Engineer I've ever read. This is due to the fact that the material is so much clear and the examples are so easy to follow. The book's explanation is precise and accurate. The exercises on every chapter are helpful. I practise almost most of the exercise problems. In fact, I score an "A" on the first Test. I will recommend it to everyone without hesitation.

5-0 out of 5 stars Initial impressions
Nakhle:Just a quick note to thank you for your book! It arrived Thursday, and I've been reading it and doing the exercises both on paper and in Mathematica 3.0. After a quick review of the whole book and a thorough reading of the first 70 pages so far, I can say I just love it! IfI'd only had a book like this in college and graduate school I'd havebecome a much better electrical engineer. Yours is one of the bestexpositions of both Fourier series and partial differential equations I'veused. Although I haven't gotten very far into the boundary value problemsand the orthogonal functions areas of the book yet, my initial reviewindicates they will be excellent also. I am enjoying your book immensely,and I thank you very much for it. I'll update this with a more thoroughreview when I have a chance to finish the book, but I wanted to share myinitial impressions so others might weigh them into their own decisions toget this excellent book.

5-0 out of 5 stars A clear introduction to PDEs, Fourier series
This text not only provides a simple and easy-to- read-the-first-time guide to solving PDEs with Fourier series, it also is chock-full with all the necessary details and includes many interesting problems.I took acourse out of this book as a sophomore in college and found it veryinteresting and useful.The style and difficulty is very similar to atypical undergraduate ordinary differential equations book, except this isbetter organized.Read more

Subjects:  1. Boundary Value Problems    2. Differential Equations    3. Differential Equations - Partial Differential Equations    4. Differential equations, Partia    5. Differential equations, Partial    6. Fourier series    7. Functional Analysis    8. Healing    9. Mathematics    10. Partial Differential Equations    11. Science/Mathematics    12. Mathematics / Advanced   


7. Enumerative Combinatorics: Volume 1
by Cambridge University Press
Paperback (May, 2000)
list price: $34.99 -- our price: $34.99
(price subject to change: see help)
Isbn: 0521663512
Sales Rank: 367388
Average Customer Review: 5.0 out of 5 stars
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Reviews (5)

5-0 out of 5 stars Very challenging, very deep
This is an excellent book on combinatorics, but it is quite difficult to understand.The author often chooses a more general framework in which to present things, and this can make the material quite difficult to follow.But the rewards for the diligent reader are great.Occasionally I question how Stanley chooses to present a certain topic, but usually if I look closely enough, I see that there are often some very deep reasons for his choice of notation or presentation.
5-0 out of 5 stars A Masterpiece on Enumerative Combinatorics
I agree with the other reviewers.The book is a masterpiece on enumerative combinatorics.However, I am not so sure that it is a good book for a beginner.If you are a beginner, then you should read another book first, like John Riordan's book on "Combinatorial Analysis."Stanley's book is best suited for an advanced student who has a high level of mathematical mental maturity.The reason I say this is that in a few places Stanley's formalism, which is entirely appropriate for professional exposition, actually obscures the underlying simplicity of the mathematical ideas.We have all seen this in research papers, where a mathematician takes a trivial idea and "obsures" the underlying simplicity with too much formalism.However, for an advanced student, the book has a high density of important ideas and methods.

5-0 out of 5 stars This is for people who likes to COUNT
Gosh! This is for people who count, what else does a combinatorist do? Before people dismiss me as somebody who don't know hoot about math: I took a class with Prof. Stanley (the author) in college, and I had actually used vol 1 as a text. The material is highbrow (I agree on the 'hardcore' math observation) but the main theme of the book is how to 'count' -- needless to say not in the sense of everyday counting, but in the sense that 'topology' is 'coffee-to-donut transformation' and 'analysis' is 'honors calculus'. You have to know how to count, and comfortable with combinatorial proof to actually learn from this. I like the fact that Prof. Stanley asks for combinatorial proof to some known results, marking them as unsolved -- he really elevates the status of combinatorial proof, a method many dismiss as 'handwaving'. There is a number given to each exercise, according to the level of difficulty: [1] for trivial, [5] unsolved. I saw a professor who worked in differential topology for 40 years refer to this book -- and first year undergrads thumbing through the pages for exercises marked [1] and [2] to solve in spare time. This is a book for all levels of mathematicians: I am sure even the armchair amateur mathematicians can grasp some of the materials after a hard day's thought. I dont see this book as any less than a definitive text on enumerative combinatiorics. ... Read more

Subjects:  1. Combinatorics    2. Discrete Mathematics    3. Functional Analysis    4. Mathematics    5. Theory Of Functions    6. Combinatorial enumeration problems    7. Combinatorics & graph theory    8. Mathematics / Probability   


8. Problems and Solutions for Undergraduate Analysis (Undergraduate Texts in Mathematics)
by Springer
Paperback (19 December, 1997)
list price: $49.95 -- our price: $44.46
(price subject to change: see help)
Isbn: 0387982353
Sales Rank: 48767
Average Customer Review: 5.0 out of 5 stars
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Reviews (3)

5-0 out of 5 stars I recommend this text for self-study
This collection of problems is really quite good. First, the problem is spelled out entirely, so you don't need to refer to the text. It is self-contained, for the most part. Each of the solutions is worked out with generous detail and the problems are chosen to accentuate certain basic results that are easy to take for granted unless you see the difficulties that arise in their absence. I recommend this text for self-study as a running start to Polya and Szego's more difficult problem book.

5-0 out of 5 stars Excellent companion to Lang's Analysis book
This book is not just a "solutions manual."There are detailed proofs for all of the problems in the book.This book is essential if you want to truly learn real analysis.

5-0 out of 5 stars Finaly an outstanding problems and solutions guide
The only way to study mathematics is by solving a large number of problems: this book permits the eager student to challenge his acquired knowledge. A must to all the students wanting to really masterundergraduate analysis. ... Read more

Subjects:  1. Calculus    2. Education    3. Functional Analysis    4. General    5. Mathematical Analysis    6. Mathematics    7. Mathematics (General)    8. Problems, exercises, etc    9. Calculus & mathematical analysis    10. Mathematics / Calculus    11. Mathematics / Functional Analysis    12. Mathematics-Functional Analysis    13. Mathematics-Mathematical Analysis   


9. Green's Functions with Applications
by Chapman & Hall/CRC
Hardcover (31 May, 2001)
list price: $109.95 -- our price: $109.95
(price subject to change: see help)
Isbn: 1584881100
Sales Rank: 334107
Average Customer Review: 5.0 out of 5 stars
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Reviews (1)

5-0 out of 5 stars An End All to Green's Function Books? - A Start!
Green's Functions are heavily emphasized in graduate programs in engineering, applied math and physics. They're a useful way in solving many differential equation related problems in many fields. Unfortunately, for many (like me), the Green's Function (and it's uses) seemed restricted to 'textbook' problems.Not anymore.Read more

Subjects:  1. Applied    2. Differential Equations    3. Engineering - Electrical & Electronic    4. Functional Analysis    5. Green's functions    6. Mathematics    7. Science/Mathematics    8. Applied mathematics    9. Mathematics / Applied   


10. Complex Variables and Applications
by McGraw-Hill Science/Engineering/Math
Hardcover (26 February, 2003)
list price: $134.38 -- our price: $134.38
(price subject to change: see help)
Isbn: 0072872527
Sales Rank: 89887
Average Customer Review: 4.5 out of 5 stars
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Reviews (26)

5-0 out of 5 stars Very clear, great for learning and understanding quickly, a bit slow at times
This book is simply clearer than any other complex analysis book I've read, although it's not particularly advanced or concise.
5-0 out of 5 stars Gold Standard
This introductory level book on complex variables will surely remain the standard book for decades to come.I can't possibly see how to write a more clear exposition on this highly useful subject matter than Churchill and Brown have managed to do.My students love the examples, and they think the homework problems are doable.As a supplement to do even more problems, I suggest they buy the Schaum's outline series on complex variables.
5-0 out of 5 stars If you like a well written, applied, operational kind book.
If you like mathematics but prefer an operational approach instead of the abstract approach, you will like this book.
Read more

Subjects:  1. Advanced    2. Calculus    3. Functional Analysis    4. Functions Of Complex Variables    5. Mathematics    6. Science/Mathematics    7. Mathematics / Advanced   


11. Fundamentals of Complex Analysiswith Applications to Engineering,Science, and Mathematics (3rd Edition)
by Prentice Hall
Hardcover (31 December, 2002)
list price: $111.00 -- our price: $111.00
(price subject to change: see help)
Isbn: 0139078746
Sales Rank: 295060
Average Customer Review: 4.5 out of 5 stars
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Reviews (3)

5-0 out of 5 stars Excellent Book!
First let me say that this book was an introduction to the subject for me. After reading the first six chapters, and working through most of the problems, I have to say this book is great. I highly recommend this to anyone who is learning on there own. In particular, the chapter on residues is excellent. The chapter on series is also good, although I would have liked more worked examples for proofs involving uniform convergence. Also, a little more emphasis on the Arguement would have been nice. Nevertheless, 5/5 for this one, it is extremely well written and the authors really provide motivation for the theorems to come. This is definitely one of the best math books I have read. Great buy, worth every penny.

4-0 out of 5 stars Good Introductory Book
This was the book that I learned Complex Analysis from. Definitely made the subject accessible to pretty much any reader. Plenty of exercises: some more theoretical, some more applied. It skillfully straddles the gap between being a theoretical math book and a math book for people with more applied aims (such as engineers). Most topics are covered thoroughly, though certain more complicated subjects such as winding number are left out for simplicity.4-0 out of 5 stars down to earth book for people like you and me
I have just finished a class using this book, and on the whole its done a good job.I didn't find it in any way super special or anything, but I could read it and understand it.As far as math books go that is pretty good. Lots of exercises with answers in the back, which is what you need.Usually there are worked out examples of the most standard problems, but not always, e.g. there is no example of residue calculus with a Log function. ... Read more

Subjects:  1. Calculus    2. Functional Analysis    3. Functions Of Complex Variables    4. Mathematical Analysis    5. Mathematics    6. Science/Mathematics    7. Complex analysis    8. Mathematics / Calculus    9. Mathematics for scientists & engineers   


12. Introductory Functional Analysis with Applications
by Wiley
Paperback (23 February, 1989)
list price: $83.95 -- our price: $83.95
(price subject to change: see help)
Isbn: 0471504599
Sales Rank: 340091
Average Customer Review: 5.0 out of 5 stars
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Reviews (12)

5-0 out of 5 stars Excellent introductory book on functional analysis
This book is excellent for so many reasons.The book is self-contained; it is much more accessible than a number of other books.The writing is very clear, occasional use of diagrams is very helpful.Proofs are very easy to follow, and the author gives you a sense of the big picture of the subject before you get to the proof, keeping the reader motivated in a subject that can often seem abstract and boring.The typesetting and layout of the book are also unusually well-executed for a mathematics book: definitions are easy to spot, and the material is presented clearly on the page.The book as a whole is exceptionally well-organized, making it easy to skip around, and making this book an outstanding reference.
5-0 out of 5 stars Good
This book is especially good for those who are not mathematicians, and just need some knowledge of functional analysis for computation or application of rigorous theory. This book is well organized in the sense that the shortest path is easily identified for what we want to learn out of this book. I would strongly recommend.

5-0 out of 5 stars Makes you actually WANT to study analysis!
Functional analysis is the branch of mathematics concerned with the study of spaces of functions. It has its historical roots in the study of transformations, such as the Fourier transform, and in the study of differential and integral equations. This usage of the word functional goes back to the calculus of variations, implying a function whose argument is a function.Most textbooks claiming to be introductions to this subject are just one proof after another without a clue as to WHY you would want to study this stuff in the first place. Mr. Kreyszig's book is a welcome addition to the family of textbooks that claim to be introductions to the subject because the material is explained in an accessible fashion alongside applications to the material. So YES as one reviewer put it, this book smells like an engineer's text, but to this reader that is a good thing because I get a feel for how to use the information thus motivating me for further study. I particularly liked the sections applying Banach's Fixed Point Theorem to the solution of differential equations and linear equations. As for the suggestions of other reviewers to reject this book in favor of Rudin's, I think that is a bad suggestion for someone other than a graduate student of pure mathematics. Rudin does a great job of explaining all of the theory, but I think that this book is better at providing motivations for the study of functional analysis through the demonstration of applications. Eventually, you should probably read both books. ... Read more

Subjects:  1. Applied    2. Calculus    3. Functional Analysis    4. Mathematics    5. Science/Mathematics    6. Mathematics / Applied    7. Numerical analysis   


13. Differential Equations with Boundary-Value Problems
by Brooks Cole
Hardcover (05 October, 2000)
list price: $138.95 -- our price: $138.95
(price subject to change: see help)
Isbn: 0534380026
Sales Rank: 507847
Average Customer Review: 3.5 out of 5 stars
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Reviews (15)

4-0 out of 5 stars ADVANCED MATHMATICS
IT'S A GREAT BOOK FOR MATH LOVERS. YET IN THE EXAMPLES THROUGHOUT THE BOOK THE AUTHOR SKIPS MANY STEPS, SO YOU HAVE TO KNOW ALGEBRA, INTEGRATION, DIRRENTATION, AND SUMS VERY WELL TO UNDERSTAND WHAT THE AUTHOR IS DOING.

2-0 out of 5 stars Dense; Not for Self Study.
VCR directions. Especially how it explains variation of parameters (2.3). If you are a math whiz, this text is for you. If not, try to get a copy of Dr. Kapoor's _Differential Equations: Step by Step E-Z Math Cards_. By the way, Zill's Solutions Manuel simply omits explanations for many odd-numbered problems, so good luck.

4-0 out of 5 stars Old, but good
This is a good introduction to DE without alot of the unnecessary textual pollution often found in math texts.It's been around awhile (I used this one some years ago) but I found it was among the simplest, clearest, and best-written math texts because its approach assumes no prior knowledge of DE.From basic equations such as the famous Bernoulli to more complicated boundary-value issues, I was able to gain a solid and more complete understanding of the multivariable calculus I had just attended as well as preparation for higher math.Although it's been awhile, I do recall some errors in this book (as another reviewer has mentioned), so be aware.
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Subjects:  1. Boundary Value Problems    2. Differential Equations    3. Functional Analysis    4. Mathematics    5. Science/Mathematics    6. Mathematics / Differential Equations   


14. Wavelets through a Looking Glass (Applied and Numerical Harmonic Analysis)
by Springer
Hardcover (12 July, 2002)
list price: $59.95 -- our price: $59.95
(price subject to change: see help)
Isbn: 0817642803
Sales Rank: 673663
Average Customer Review: 5.0 out of 5 stars
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Reviews (6)

5-0 out of 5 stars A masterpiece in wavelets
This is a very well written book on the theory of wavelets and its applications. The presentation is self-contained and may serve as an introduction for someone who wants to learn about this topic. It also is an excellent book for those who have an advanced graduate degree in applied mathematics since it demonstrates how to truly understand complex concepts. This book gives a general presentation of some recent developments in wavelet theory with an emphasis on techniques that have a geometric and spectral-theoretic flavor. It can be certainly used as a textbook for graduate students as well as as a reference book for the specialists and researchers. A very nice feature of the book are the tutorials at the beginning of each chapter and some sections, which serve as summaries of main ideas and guides through the background ideas and motivation. At the end of every chapter there are plenty of excercises of various level of difficulty. Overall, this is a great book and I recommend it highly to a motivated reader.

5-0 out of 5 stars Distinguished link between math and computer science
This is an important mathematical reference written in excellent style.Wavelets have found applications in many areas of engineering and CS.The authors provide a detailed, rich and entertaining tour through this relatively young but important field for both math and CS/Eng.Connections are, e.g., made between advanced CS virtual-reality applications such as audio-systems processing, future applications such as quantum computing, and advanced math in functional analysis and operator theory.

5-0 out of 5 stars A fresh look at wavelets
The Book by Bratteli and Jorgensen is a superb book on wavelet's theory. It is very well written and has new and a fresh point of view on the subject. Although there are several good books on wavelets, the book by Bratteli and Jorgensen covers an important niche that has not been covered before. In particularRead more

Subjects:  1. Applied    2. Functional Analysis    3. Geometry - Algebraic    4. Harmonic Analysis    5. Homotopy Theory    6. Mathematical Analysis    7. Mathematics    8. Science/Mathematics    9. Spectral theory (Mathematics)    10. Topology - General    11. Wavelets (Mathematics)    12. Applied mathematics    13. Approximation Theory    14. CS/Numerical Mathematics    15. Calculus & mathematical analysis    16. Communications Theory    17. Harmonic Analysis/Applications    18. Mathematics / Group Theory    19. Mathematics / Mathematical Analysis    20. Mathematics-Applied    21. Signal Processing   


15. Differential Equations with Boundary Value Problems (2nd Edition)
by Prentice Hall
Hardcover (28 July, 2005)
list price: $131.80 -- our price: $131.80
(price subject to change: see help)
Isbn: 0131862367
Sales Rank: 448744
Average Customer Review: 4.0 out of 5 stars
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Reviews (1)

4-0 out of 5 stars Great Book for ODE's
I used this book for a course in ODE's. The edition that was available for purchase at our school's bookstore also included a book by the authors for using MatLab for solving ODE's, The combination of the two were great. The book is logically structured and generally easy to read. The authors use many examples from a variety of fields. The MatLab book was a phenomenal help: it's the best intro to MatLab that I've found, and was very useful in helping to solve problems. My only beef with the book is that since this is a first edition, there are several errors in the odd numbered solutions at the end of the book, which caused many sleepless nights. ... Read more

Subjects:  1. Advanced    2. Boundary Value Problems    3. Differential Equations    4. Functional Analysis    5. Mathematics    6. Science/Mathematics    7. Mathematics / Advanced   


16. Matrix Mathematics: Theory, Facts, and Formulas with Application to Linear Systems Theory
by Princeton University Press
Hardcover (22 February, 2005)
list price: $89.50 -- our price: $76.07
(price subject to change: see help)
Isbn: 0691118027
Sales Rank: 462984
Average Customer Review: 5.0 out of 5 stars
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Reviews (1)

5-0 out of 5 stars Where do you find that arcane result ?
Sometimes it is very difficult to find out a matrix theorem that is used in a technical publication.
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Subjects:  1. Linear systems    2. Mathematics    3. Matrices    4. Science/Mathematics    5. Functional analysis    6. Linear algebra    7. Mathematics / Matrices   


17. Representation Theory: A First Course (Graduate Texts in Mathematics / Readings in Mathematics)
by Springer
Paperback (21 September, 2006)
list price: $49.95 -- our price: $42.96
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Isbn: 0387974954
Sales Rank: 235436
Average Customer Review: 4.5 out of 5 stars
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Reviews (3)

4-0 out of 5 stars Very nice
An excellent book.The approach, working toward the general theory via examples, has some great pedagogical virtues but also drawbacks.It also means the book has drawbacks as a reference, as important general theorems can be hard to locate (often they are in an appendix, but relevant definitions or lemmas are in several places in the text). Despite the example-oriented style, the level of mathematical sophistication assumed is reasonably high (so some physicists, for example, may find some of the explanations require boning up on certain ideas found more in pure mathematics than physics).However, many things are given very nice explanations that are lacking in some dryer texts (e.g. Varadarajan, or even Humphreys).Particularly nice is the discussion of relations between the representation theory of finite groups and Lie groups.Many mathematicians might find this book an enjoyable read to see connections made and examples worked out at a high level of sophistication, after learning the general theory.Some may also find it useful primarily as a repository of worked-out examples. I found Humphreys book "Introduction to Lie algebras and representation theory (Springer GTM series) to be an essential companion for getting the general theory with full proofs in a somewhat more logical order, if somewhat terse and a tad dry;Knapp's book "Lie groups beyond an introduction" could also serve this purpose, perhaps even somewhat better.If teaching a course, I would probably use this as supplemental reading rather than a primary text (though it could also turn out that gradually-generalizing-from-examples approach works better in a course than for self-teaching).It has been a useful book for me to own, and I recommend it, with the caution that you will probably want to supplement it with a book like Knapp's.(If you want to use only one book, and are reasonably mathematically sophisticated and already know basically what Lie groups and algebras are, use Knapp's.) I am a math-oriented physicist, who recently learned much of this material, using this and other books, in order to use it in my research.

5-0 out of 5 stars A beautiful exposition
This is an absolutely delightful introduction to the theory of Lie groupsand their representations.The style is informal but informative, withsome of the important proofs hidden in the appendex or even omitted (i.e.existance of the finite dimensional representations for all lie algebras). However, this is a fully rigorous text, and all the important theorems arestated, and most are proved.Mathematicians should suppliment this bookwith Humphries standard text on Lie algebras.However, this book providesmotivation and intuitive insight that Humphries is missing.Additionalenjoyment may be derived from the sampling of other unusual topics, such asSchur functors and applications to algebraic geometry.Of course, thesecan also be omitted as the reader desires.Read a lecture every few nightsbefore bedtime, and soon Lie theory will seem beautiful and almostintuitive.

5-0 out of 5 stars Brilliantly Clear
An excellent companion for anybody learning lie algebras or representation theory. Also good for physics folk needing to pick up more than the basics of lie algebras; a nice followup to a "lie algebras in physics"book (and there are many of those.)Read more

Subjects:  1. Algebra - Linear    2. Calculus    3. Group Theory    4. Lie algebras    5. Lie groups    6. Mathematics    7. Representation Of Groups    8. Representations of algebras    9. Representations of groups    10. Science/Mathematics    11. Functional analysis    12. Groups & group theory    13. Mathematics / Algebra / Linear    14. Mathematics / Group Theory    15. Mathematics-Calculus   


18. Functions Modeling Change :A Preparation For Calculus
by Wiley
Hardcover (30 April, 2003)
list price: $123.95 -- our price: $123.95
(price subject to change: see help)
Isbn: 0471266191
Sales Rank: 412006
Average Customer Review: 3.0 out of 5 stars
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Reviews (14)

5-0 out of 5 stars Wonderful precalculus deep inside the functions and modeling
I really have difficulties to understand some reviewers given one star for such a wonderfull book. If you read this book before Uni, you will have a stable ground for calculus.
1-0 out of 5 stars Incomplete, discouraging, Unhelpfull book that only hinders the learning process
This is probably the most incoplete, inarticulate book I've ever used so far in my 3 years in college. It fails to COMPLETELY explain ALL THE MANY concepts you will ,sort-of ummmm, need to pass the class,tests or even complete the problems within the book. Expect to buy at least one other pre-calc text to clearly explain EVERYTHING this book consistently DOESN'T. This book is not a student-friendly one, its more of an EXPERT MATHEMETICIAN-FRIENDLY text book, written for people who already have lots of experience with pre-calculous. First time precalculous students should not actually expect to learn from this book or be able to count on this book as a reliable source to turn to during homework assignments or study sessions... As this book consistently fails to articulate even the most simple of precalculous concepts. If you don't beleive mine along with most other negative ratings of this book, go ahead and compare this book to almost any other precalc text book for yourself. You'll quickly see that EVEN THOUGH YOU'VE PAID A GENEROUS AMOUNT OF MONEY FOR THIS BOOK TO TEACH YOU, this book FAILS TO PERFORM EVERY SINGLE STEP OF THE WAY, PARTICULARLY when you need it to CLEARLY EXPLAIN SOMETHING TO YOU most. REALLY THIS BOOK ONLY MAKES IT HARDER TO UNDERSTAND ANYTHING IT ATTEMPTS TO EXPLAIN. My recommendation is that you buy "THE COMPLETE IDIOTS GUIDE TO PRECALCULOUS" by W. Michael Kelly, an author who thouroughly prooves his TEACHING SKILLS, COMPETENCE and ABILITY TO SUCCESFULLY ARTICULATE concepts so students can actually get some learning out of the time they spend reading his CLEAR, HELPFULL EXPLENATIONS that will actually help you in precalculous.

2-0 out of 5 stars A travesty for the money
The only reason I give it two stars is that the word problems and models are interesting and realistic.The student solutions manual is a rip-off because it does not model each type of problem, nor does it lend itself to greater understanding and clarification.I usually get straight "A's" in math courses because I pour all effort necessary into homework and understanding.I just find myself being frustrated every time I open this book.The examples in each chapter just give me a headache.It is assuming and poorly written.Colleges that require this book for courses in pre-calc and trig should think twice. ... Read more

Subjects:  1. Calculus    2. Functional Analysis    3. Functions    4. Mathematics    5. Science/Mathematics    6. Theory Of Functions    7. Calculus & mathematical analysis    8. Mathematics / Calculus   


19. An Introduction to Morse Theory (Translations of Mathematical Monographs, Vol. 208) (Translations of Mathematical Monographs)
by American Mathematical Society
Paperback (December, 2001)
list price: $41.00 -- our price: $33.62
(price subject to change: see help)
Isbn: 0821810227
Sales Rank: 351951
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Subjects:  1. General    2. Mathematical Analysis    3. Mathematics    4. Morse theory    5. Science/Mathematics    6. Algebraic topology    7. Functional analysis   


20. The Illustrated Wavelet Transform Handbook
by Taylor & Francis
Hardcover (01 July, 2002)
list price: $65.00 -- our price: $65.00
(price subject to change: see help)
Isbn: 0750306920
Sales Rank: 116130
Average Customer Review: 5.0 out of 5 stars
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Reviews (1)

5-0 out of 5 stars An excellent and informative book
This book provides a comprehensive overview of wavelet transformmethodologies and applications. The emphasis is on practical applications which are illustrated with many detailed figures and examples from Science and Engineering. A particular interesting chapter on medical applications is provided. In the introductory chapters, Addison gives a clear account of the theory for both continuous and discrete wavelet transform and associated post-processing techniques. Unlike many of the other books in this area, Addison communicates the concepts with a level of detail, sufficient for the applied engineer and scientist, but without becoming bogged down in a fog of mathematical gymnastics (a feature of many of the books in this area). A welcome addition to the growing number of books on this important signal analysis technique. ... Read more

Subjects:  1. Applied    2. Functional Analysis    3. Harmonic Analysis    4. Mathematical Analysis    5. Mathematics    6. Science/Mathematics    7. Calculus & mathematical analysis    8. Mathematics for scientists & engineers    9. PHYSICS    10. Science / Mathematical Physics   


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