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41. Applied Functional Analysis: Main Principles and Their Applications (Applied Mathematical Sciences) by Eberhard Zeidler | |
Hardcover: 428
Pages
(1995-08-30)
list price: US$119.00 -- used & new: US$87.99 (price subject to change: see help) Asin: 0387944222 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The first part of this textbook has been published under the title Applied Functional Analysis: Applications to Mathematical Physics. Customer Reviews (1)
A perspectiveful book If find this text suitable mostly forgraduate students who are already acquainted with this kind of subjects andwant to deepen their knowledge on the interaction between differentbranches of mathematics and physics. Please check my other reviews in mymember page (just click on my name above). ... Read more |
42. Functional Analysis and Semi-groups (Colloquium Publications (Amer Mathematical Soc)) by E Hille and R S Phillips | |
Paperback: 808
Pages
(1996-02-06)
list price: US$62.00 -- used & new: US$62.00 (price subject to change: see help) Asin: 0821810316 Canada | United Kingdom | Germany | France | Japan | |
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43. Functional Analysis in Clinical Psychology by Peter Sturmey | |
Paperback: 270
Pages
(1996-04-18)
list price: US$65.00 Isbn: 0471961701 Canada | United Kingdom | Germany | France | Japan | |
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44. Functional Job Analysis: A Foundation for Human Resources Management (Series in Applied Psychology) by Sidney A. Fine, Steven F. Cronshaw | |
Hardcover: 328
Pages
(1999-07-01)
list price: US$99.95 -- used & new: US$39.99 (price subject to change: see help) Asin: 0805812741 Canada | United Kingdom | Germany | France | Japan | |
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45. Nonarchimedean Functional Analysis (Springer Monographs in Mathematics) by Peter Schneider | |
Paperback: 156
Pages
(2010-11-02)
list price: US$89.95 -- used & new: US$80.96 (price subject to change: see help) Asin: 3642076408 Canada | United Kingdom | Germany | France | Japan | |
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46. Functional Analysis: Theory and Applications (Dover Books on Mathematics) by R.E. Edwards | |
Paperback: 798
Pages
(1995-03-03)
list price: US$24.95 Isbn: 0486681432 Canada | United Kingdom | Germany | France | Japan | |
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47. Nonlinear Functional Analysis and Its Applications: Part 3: Variational Methods and Optimization by E. Zeidler | |
Hardcover: 688
Pages
(1984-11-27)
list price: US$169.00 -- used & new: US$113.55 (price subject to change: see help) Asin: 038790915X Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Customer Reviews (1)
Highly recommended See my review of volume 1 for more extensive comments. ... Read more |
48. Essential Results of Functional Analysis (Chicago Lectures in Mathematics) by Robert J. Zimmer | |
Paperback: 168
Pages
(1990-01-15)
list price: US$22.50 -- used & new: US$21.23 (price subject to change: see help) Asin: 0226983382 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Kudos to Zimmer on another hit
Exelente! |
49. Nonlinear Functional Analysis by Klaus Deimling | |
Paperback: 464
Pages
(2010-05-20)
list price: US$22.95 -- used & new: US$14.51 (price subject to change: see help) Asin: 0486474410 Canada | United Kingdom | Germany | France | Japan | |
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50. Introduction to Functional Analysis for Scientists and Technologists by B. Z.; Sneddon, Ian N. (Editor) Vulikh | |
Hardcover:
Pages
(1963-01-01)
Asin: B003X50806 Canada | United Kingdom | Germany | France | Japan | |
51. Elements of Functional Analysis (Graduate Texts in Mathematics) (v. 192) by Francis Hirsch, Gilles Lacombe | |
Hardcover: 393
Pages
(1999-03-26)
list price: US$99.00 -- used & new: US$39.00 (price subject to change: see help) Asin: 0387985247 Canada | United Kingdom | Germany | France | Japan | |
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52. Introduction to Functional Analysis by Angus E. Taylor | |
Hardcover: 467
Pages
(1986-09)
list price: US$55.50 Isbn: 0898749514 Canada | United Kingdom | Germany | France | Japan | |
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53. Functional Analysis: An Introduction for Physicists by Nino Boccara | |
Hardcover: 327
Pages
(1990-10-12)
list price: US$166.00 -- used & new: US$87.20 (price subject to change: see help) Asin: 0121088103 Canada | United Kingdom | Germany | France | Japan | |
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54. Principles of Functional Analysis (Graduate Studies in Mathematics) by Martin Schechter | |
Hardcover: 425
Pages
(2001-11-13)
list price: US$65.00 -- used & new: US$56.10 (price subject to change: see help) Asin: 0821828959 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
A good start In chapter 1, the author introduces the subject by considering a particular differential equation, which he solves by the method of variation of parameters. Generalizing the equation leads him finally to the Volterra integral equation, and by abstracting from the properties of this equation he introduces the notion of a Banach space. Several examples of these spaces are given, and he uses them to introduce Hilbert spaces. Appropriately, a discussion of Fourier series concludes the chapter. The Riesz representation theorem, which shows that every bounded linear functional on a Hilbert space can be represented as an inner product, is introduced immediately in chapter 2. This representation is used to motivate a similar question for Banach spaces, namely whether Banach spaces have any nonzero bounded linear functionals. The Hahn-Banach theorem, discussed in detail, shows there are many such functionals. Since there are so many, it makes sense to speak of the space of all of them, called the dual space, which is a Banach space even though the original space may not be. Several examples of dual spaces are given. The author discusses the space of bounded linear operators between normed linear spaces X and Y in chapter 3, showing that it is a Banach space ifY is. The adjoint of an operator is defined, and the author shows why adjoints are useful. The famous Closed Graph Theorem and its geometric interpretation are discussed in detail. Another fundamental result, the Uniform Boundedness Theorem, is proven. Integral equations are also used to motivate the concept of a compact operator in chapter 4, but first via the operators of finite rank. The compact operators are thus the limit in norm of operators of finite rank, and their adjoints are also compact. One of the most important classes of operators of all, the Fredholm operators, are discussed in chapter 5. The author discusses what can be concluded from their definition and gives other criteria for recognizing when an operator is Fredholm. The index theory of Fredholm operators is covered in this chapter, and this is a theory that has far-reaching implications in other areas of mathematics, such as algebraic topology and K-theory. The author discussed briefly a collection of operators called semi-Fredholm operators, that are defined by relaxing some of the conditions for Fredholm operators are relaxed. Spectral theory, also of enormous importance in operator theory, is discussed in chapter 6. The author proves the spectral mapping theorem, explaining the need for complex Banach spaces in this regard. The author shows how to obtain a formula for the inverse of a bounded operator polynomial. The reader will need a background in complex variables in order to follow his discussion here, which has become known as the "operational calculus". If the spectrum of the operator is disconnected, the author shows how to obtain the spectral projections of the operator. The theory of unbounded operators, typically not treated in beginning books on operator theory, but very important in applications, is discussed in chapter 7. Unbounded Fredholm operators are defined, and the author shows just how much the bounded results can be carried over to these. The same is done for unbounded semi-Fredholm operators. The author returns to Banach spaces in chapter 8, where he discusses reflexive Banach spaces. He proves that a Banach space is reflexive if its dual is, and shows how "saturated subspaces" characterize reflexive spaces. The very important weak* convergence appears here in the discussion of separable Banach spaces. Chapter 9 is the beginning of "soft analysis" wherein the author discusses Banach algebras. The reader gets his first taste of the intertwining of operator theory, algebra, and analysis in this chapter. The "soft" approach to operator theory is vast and is marked by many brilliant developments. Semigroups, so very important in physical applications, are discussed in chatper 10. The discussion again motivated by a differential equation, the author shows clearly the need for strong continuity in obtaining an infinitesimal generator for a one-parameter semigroup of operators. The author returns to Hilbert spaces in chapter 11, wherein he introduces the highly important class of normal operators. He shows that such operators are norm attaining, and proves when normal compact operators have a complete, orthonormal set of eigenvectors. He applies these considerations to a class of (compact) integral operators and then discusses briefly the theory of hyponormal operators. Another topic not usually included in treatments at this level is the theory of bilinear forms, which is done in chapter 12. Very important in many areas of mathematics, the author shows their utility in the context of dissipative operators. He then goes on to the topic of self-adjoint extensions, showing that every densely defined symmetric linear operator has a self-adjoint extension. Self-adjoint opertaors are then treated in detail in chapter 13, beginning with the theory of orthogonal projections, which are very important in applications like quantum physics. He then proves the spectral resolution theorem for bounded self-adjoint operators. The last chapter of the book details some applications, the first few sections dealing mainly with a particular (unbounded) differential operator. Using two different methods the author calculates the spectrum of this operator. He then does essentially the same analysis for a simple integral operator. Both of these operators appear many times in physical applications. ... Read more |
55. Elementary Functional Analysis by Barbara MacCluer | |
Paperback: 220
Pages
(2009-12-28)
list price: US$49.95 -- used & new: US$40.42 (price subject to change: see help) Asin: 1441927530 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This nicely written manuscript takes a gentler approach than other functional analysis graduate texts, and includes an improved approach along with a better choice of topics. The concise treatment makes this ideal for a one-semester course. The exercises in this manuscript are numerous and of a very high quality. Interesting historical tidbits are scattered throughout the text, many of which will be new to most readers. The main prerequisites are basic undergraduate courses in real analysis, linear algebra, and point set topology. |
56. Statistical Parametric Mapping: The Analysis of Functional Brain Images | |
Hardcover: 656
Pages
(2006-12-23)
list price: US$136.00 -- used & new: US$55.96 (price subject to change: see help) Asin: 0123725607 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Great but who reads it? |
57. Analysis (Graduate Studies in Mathematics) by Elliott H. Lieb, Michael Loss | |
Hardcover: 346
Pages
(2001-03-21)
list price: US$43.00 -- used & new: US$42.57 (price subject to change: see help) Asin: 0821827839 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Authors Elliott Lieb and Michael Loss take you quickly from basic topics to methods that work successfully in mathematics and its applications. While omitting many usual typical textbook topics, Analysis includes all necessary definitions, proofs, explanations, examples, and exercises to bring the reader to an advanced level of understanding with a minimum of fuss, and, at the same time, doing so in a rigorous and pedagogical way. Many topics that are useful and important, but usually left to advanced monographs, are presented in Analysis, and these give the beginner a sense that the subject is alive and growing. This new Second Edition incorporates numerous changes since the publication of the original 1997 edition and includes: Features: a new chapter on eigenvalues that covers the min-max principle, semi-classical approximation, coherent states, Lieb-Thirring inequalities, and more extensive additions to chapters covering Sobolev Inequalities, including the Nash and Log Sobolev inequalities new material on Measure and Integration many new exercises and much more ... The Second Edition continues its no-nonsense approach to the topic that has made it one of the best selling books on the subject. It is an authoritative, straight-forward volume that readers---from the graduate student, to the professional mathematician, to the physicist or engineer using analytical methods---will find useful both as a reference and as a guide to real problem solving. About the authors: Elliott Lieb is Professor of Mathematics and Physics at Princeton University and is a member of the US, Austrian, and Danish Academies of Science. He is also the recipient of several prizes including the 1988 AMS/SIAM Birkhoff Prize. Michael Loss is Professor of Mathematics at the Georgia Institute of Technology. Customer Reviews (3)
A tremendous jumpstart into modern mathematical physics
A start in analysis.
An excellent course of analysis with a theme |
58. Applied Functional Analysis, Second Edition by J. Tinsley Oden, Leszek Demkowicz | |
Hardcover: 596
Pages
(2010-03-02)
list price: US$119.95 -- used & new: US$112.51 (price subject to change: see help) Asin: 1420091956 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Through numerous illustrative examples and comments, Applied Functional Analysis, Second Edition demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. More specifically, the text prepares students to learn the variational theory of partial differential equations, distributions and Sobolev spaces, and numerical analysis with an emphasis on finite element methods. While retaining the structure of its best-selling predecessor, this second edition includes revisions of many original examples, along with new examples that often reflect the authors’ own vast research experiences and perspectives. This edition also provides many more exercises as well as a solutions manual for qualifying instructors. Each chapter begins with an extensive introduction and concludes with a summary and historical comments that frequently refer to other sources. New to the Second Edition Ideal for a two-semester course, this proven textbook teaches students how to prove theorems and prepares them for further study of more advanced mathematical topics. It helps them succeed in formulating research questions in a mathematically rigorous way. |
59. Linear Analysis: An Introductory Course by Bela Bollobas | |
Paperback: 256
Pages
(1999-03-01)
list price: US$55.00 -- used & new: US$45.84 (price subject to change: see help) Asin: 0521655773 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Five stars for content; two stars for printing
Good writing, OK coverage |
60. A First Course in Functional Analysis (AMS Chelsea Publishing) by Caspar Goffman | |
Hardcover: 284
Pages
(1983-01-01)
list price: US$35.00 Isbn: 0828403198 Canada | United Kingdom | Germany | France | Japan | |
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