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21. Functional Analysis: An Introduction (Graduate Studies in Mathematics) by Yuli Eidelman, Vitali Milman, Antonis Tsolomitis  
Hardcover: 322
Pages
(20041123)
list price: US$58.00  used & new: US$57.42 (price subject to change: see help) Asin: 0821836463 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description The text corresponds to material for two semester courses (Part I and Part II, respectively) and is essentially selfcontained. Prerequisites for the first part are minimal amounts of linear algebra and calculus. For the second part, some knowledge of topology and measure theory is recommended. Each of the 11 chapters is followed by numerous exercises, with solutions given at the end of the book. The text is ideal for a oneyear course. It will also provide a sound basis for further study. It is suitable for graduate students and researchers interested in operator theory and functional analysis. Customer Reviews (1)
Great Condition Poor Choice of Text 
22. The Statistical Analysis of Functional MRI Data (Statistics for Biology and Health) by Nicole Lazar  
Paperback: 299
Pages
(20101102)
list price: US$97.00  used & new: US$77.53 (price subject to change: see help) Asin: 1441926798 Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description 
23. Applied Functional Analysis: Applications to Mathematical Physics (Applied Mathematical Sciences) (v. 108) by Eberhard Zeidler  
Hardcover: 516
Pages
(19950623)
list price: US$134.00  used & new: US$63.00 (price subject to change: see help) Asin: 0387944427 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description The second part of this textbook has been published under the title, Applied Functional Analysis: Main Principles and Their Applications. Customer Reviews (3)
motivated , well written, easy to read , nearly complete
Excellent account on modern operator theory Please check myother reviews in my member page (just click on my name above).
Indispensible to any serious student of Mathematics! 
24. Functional Analysis by P.K. Jain, O.P. Ahuja  
Hardcover: 382
Pages
(20100315)
list price: US$50.00  used & new: US$46.00 (price subject to change: see help) Asin: 1906574677 Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description The text begins with a preliminary chapter that establishes uniform notations and covers background material in real analysis, linear algebra, and metric spaces. It is followed by chapters on Normed and Banach Spaces, Bounded Linear Operators and Bounded Linear Functionals. This text also deals with the concept and specific geometry of Hilbert Spaces, Functionals and Operators on Hilbert Spaces, and an Introduction to Spectral Theory. The appendix provides an introduction to Schauder Bases. 
25. Functional Analysis in Clinical Treatment (Practical Resources for the Mental Health Professional)  
Hardcover: 512
Pages
(20070212)
list price: US$76.95  used & new: US$65.80 (price subject to change: see help) Asin: 0123725445 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Customer Reviews (1)
An helpful tool to clinicians in behavior analysis 
26. Functional Analysis (Springer Classics in Mathematics) by Kosaku Yosida  
Paperback: 501
Pages
(19960430)
list price: US$69.95  used & new: US$49.00 (price subject to change: see help) Asin: 3540586547 Canada  United Kingdom  Germany  France  Japan  
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27. Functional Data Analysis (Springer Series in Statistics) by Jim Ramsay, B. W. Silverman  
Paperback: 430
Pages
(20101102)
list price: US$109.00  used & new: US$87.00 (price subject to change: see help) Asin: 1441923004 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description This is the second edition of a highly succesful book which has sold nearly 3000 copies world wide since its publication in 1997. Many chapters will be rewritten and expanded due to a lot of progress in these areas since the publication of the first edition. Bernard Silverman is the author of two other books, each of which has lifetime sales of more than 4000 copies. He has a great reputation both as a researcher and an author. This is likely to be the bestselling book in the Springer Series in Statistics for a couple of years. Customer Reviews (6)
first good treatment of the topic and the theory behind the applications
great elementary reference
Very clear introduction to functional data analysis
fine introduction to the topic Functional data occur when the data are curves.For instance, we might monitor growth of children sampled at a fairly fine grid over several years.Or we might consider reports of experienced pain in many patients over a fairly long period of time.Even when the data *seem* discrete (and given measurement error and a finite sampling rate all data really *are* discrete) there may be substantial advantages to treat them as continuous. Functional analysis extends the notion of linear space that is the foundation of statistics to the infinite dimensional case.In a infinite dimensional space, a matrix equation becomes an integral equation, and so on.They provide a useful introduction to the topic, enough that a nonspecialist can get into it.The big difference between this treatment and older ones is that Ramsay and Silverman emphasize that the data generating process is assumed to be continuous.Many older treatments of similar data involve no curve regularization or smoothing.Basically they ignore the underlying continuity.Ramsay and Silverman show there are substantial benefits to paying attention to the continuity.For instance, if we want to estimate the derivative of a sampled curve it's logical to use first differences.They demonstrate, however, that fitting a smooth to the curve, e.g., a spline, and then finding the derivative of the smooth curve often does a much better job.(Why?Differencing amplifies noise.) Anyway, they cover topics of linear models, principal components, canonical correlation, and principal differential analysis in function spaces.Their general feel is fairly exploratory.The one thing this book is short of is long examples, which can be found in their companion volume Applied Functional Data Analysis.
First book on an important subject For curious readers like me, itstill leaves more to be desired. For example, the theory is better preparedby Grenander (1981)'s Abstract Inference, while the practice is preceded bythe vast work on analysis of spacetime field (4D var) in climate researchusing EOF, similar to the principal components, but applied to the 2dfield data. I would also like to see more discussion of alternativemodeling techniques such as wavelets and kernel smoothing methods. Ifind this book a handy reference, so would recommend to others for the samepurpose. ... Read more 
28. Nonlinear Functional Analysis and Its Applications: Part 2 A: Linear Monotone Operators (Zeidler, Eberhard//Nonlinear Functional Analysis and Its Applications) by E. Zeidler  
Hardcover: 467
Pages
(19891211)
list price: US$179.00  used & new: US$116.10 (price subject to change: see help) Asin: 0387968024 Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century. 
29. Applied Functional Data Analysis by J.O. Ramsay, B.W. Silverman  
Paperback: 200
Pages
(20020613)
list price: US$89.95  used & new: US$55.99 (price subject to change: see help) Asin: 0387954147 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Customer Reviews (2)
Optional complement for 'FunctionalData Analysis'
teaching functional data analysis through examples 
30. Introductory Real Analysis by A. N. Kolmogorov, S. V. Fomin  
Paperback: 416
Pages
(19750601)
list price: US$15.95  used & new: US$8.00 (price subject to change: see help) Asin: 0486612260 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Customer Reviews (32)
Clarity and examples
Good intermediate math book
DON'T buy this book!
Not A Bad Book
A good read with too many mistakes 
31. S+Functional Data Analysis: User's Manual for Windows ® by Douglas B. Clarkson, Chris Fraley, Charles Gu, Jim Ramsay  
Paperback: 194
Pages
(20050701)
list price: US$69.95  used & new: US$35.88 (price subject to change: see help) Asin: 0387249699 Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description S+Functional Data Analysis is the first commercial object oriented package for exploring, modeling, and analyzing functional data. Functional data analysis (FDA) handles longitudinal data and treats each observation as a function of time (or other variable). The functions are related. The goal is to analyze a sample of functions instead of a sample of related points. FDA differs from traditional data analytic techniques in a number of ways. Functions can be evaluated at any point in their domain. Derivatives and integrals, which may provide better information (e.g. graphical) than the original data, are easily computed and used in multivariate and other functional analytic methods. The analyst using S+FDA can handle irregularly spaced data or data with missing values. For large amounts of data, working with a functional representation can save storage. Moreover, S+FDA provides a variety of analytic techniques for functional data including linear models, generalized linear models, principal components, canonical correlation, principal differential analysis, and clustering. This book can be considered a companion to two other highly acclaimed books involving James Ramsay and Bernard Silverman: Functional Data Analysis, Second Edition (2005) and Applied Functional Data Analysis (2002). This user's manual also provides the documentation for the S+FDA library for SPlus. From the reviews: "The book offers an overview of the basics of functional data approaches as well as a weath of information, sample code, and examples about each of these methods in a clear wellpresented manner. The book provides a wellwritten discussion of how and when to use the functions, and it will be a useful and convenient reference for those getting started with functional analyses." The American Statistician, May 2006, Vol. 60, No. 2 
32. Beginning Functional Analysis (Undergraduate Texts in Mathematics) by Karen Saxe  
Paperback: 197
Pages
(20101102)
list price: US$59.95  used & new: US$44.56 (price subject to change: see help) Asin: 1441929142 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Customer Reviews (7)
Whirlwind tour of functional analysis
Makes the material unnecessarily dry and boring
Not helpful
I'm Sorry
Quite a bad book. 
33. Linear Functional Analysis (Springer Undergraduate Mathematics Series) by Bryan Rynne, M.A. Youngson  
Paperback: 324
Pages
(20071211)
list price: US$49.95  used & new: US$31.95 (price subject to change: see help) Asin: 1848000049 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finitedimensional linear algebra can be extended or generalized to infinitedimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. The initial chapters develop the theory of infinitedimensional normed spaces, in particular Hilbert spaces, after which the emphasis shifts to studying operators between such spaces. Functional analysis has applications to a vast range of areas of mathematics; the final chapters discuss the particularly important areas of integral and differential equations. Further highlights of the second edition include: a new chapter on the Hahn–Banach theorem and its applications to the theory of duality. This chapter also introduces the basic properties of projection operators on Banach spaces, and weak convergence of sequences in Banach spaces  topics that have applications to both linear and nonlinear functional analysis; extended coverage of the uniform boundedness theorem; plenty of exercises, with solutions provided at the back of the book. Customer Reviews (2)
Great Introductory Supplement
Clear, basic introduction 
34. Functional Analysis  Applications in Mechanics and Inverse Problems (Solid Mechanics and Its Applications) by L. P. Lebedev, I.I. Vorovich, G. M. L. Gladwell  
Paperback: 260
Pages
(20020601)
list price: US$69.95  used & new: US$48.99 (price subject to change: see help) Asin: 1402007566 Average Customer Review: Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Customer Reviews (1)
Exceptional book  strongly recommended 
35. Real Analysis (4th Edition) by Halsey Royden, Patrick Fitzpatrick  
Hardcover: 544
Pages
(20100115)
list price: US$132.00  used & new: US$95.00 (price subject to change: see help) Asin: 013143747X Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Real Analysis, Fourth Edition, covers the basic material that every reader should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in mathematics and familiarity with the fundamental concepts of analysis.
Classical theory of functions, including the classical Banach spaces; General topology and the theory of general Banach spaces; Abstract treatment of measure and integration. For all readers interested in real analysis. 
36. Nonparametric Functional Data Analysis: Theory and Practice (Springer Series in Statistics) by Frédéric Ferraty, Philippe Vieu  
Paperback: 268
Pages
(20101102)
list price: US$109.00  used & new: US$87.00 (price subject to change: see help) Asin: 1441921419 Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description Modern apparatuses allow us to collect samples of functional data, mainly curves but also images. On the other hand, nonparametric statistics produces useful tools for standard data exploration. This book links these two fields of modern statistics by explaining how functional data can be studied through parameterfree statistical ideas. At the same time it shows how functional data can be studied through parameterfree statistical ideas, and offers an original presentation of new nonparametric statistical methods for functional data analysis. 
37. Functional Analysis And SemiGroups by Einar Hille  
Hardcover: 268
Pages
(20081104)
list price: US$40.95  used & new: US$40.95 (price subject to change: see help) Asin: 1443721670 Canada  United Kingdom  Germany  France  Japan  
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38. Signs and Symptoms Analysis from a Functional Perspective by Dicken Weatherby  
Paperback: 506
Pages
(20041024)
list price: US$65.00  used & new: US$40.95 (price subject to change: see help) Asin: 0976136724 Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description You will discover how easy it is to identify where the symptom burden is located in the body, increase your efficiency of history taking in the office, implement new tools and techniques to dramatically improve your clinical outcomes, cut the amount of time you spend taking a patient history, and make your initial history an indispensable screening tool. Your signs and symptoms analysis will finally mean something to you and your patients. This book includes: Master forms of 322 question questionnaire and manual symptom burden analysis form available as a download. This best selling manual on Signs and Symptoms Analysis has shown hundreds of doctors how to do a functionally oriented history. What are you waiting for? 
39. Elementary Functional Analysis by Charles Swartz  
Hardcover: 192
Pages
(20090713)
list price: US$45.00  used & new: US$41.00 (price subject to change: see help) Asin: 9814273341 Canada  United Kingdom  Germany  France  Japan  
Editorial Review Product Description

40. Applied Functional Analysis (Applications of Mathematics) by Alampallam V. Balakrishnan  
Hardcover: 373
Pages
(19810504)
list price: US$69.80  used & new: US$69.80 (price subject to change: see help) Asin: 0387905278 Canada  United Kingdom  Germany  France  Japan  
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