functional analysis dover books on mathematics

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Functional Analysis

Author : George Bachman
ISBN : 9780486136554
Genre : Mathematics
File Size : 52. 3 MB
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Text covers introduction to inner-product spaces, normed, metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach Theorem and its consequences, and many other related subjects. 1966 edition.

Applied Functional Analysis

Author : D.H. Griffel
ISBN : 9780486141329
Genre : Mathematics
File Size : 90. 84 MB
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This introductory text examines applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Covers distribution theory, Banach spaces, Hilbert space, spectral theory, Frechet calculus, Sobolev spaces, more. 1985 edition.

Functional Analysis

Author : R.E. Edwards
ISBN : 9780486145105
Genre : Mathematics
File Size : 80. 58 MB
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Massive compilation offers detailed, in-depth discussions of vector spaces, Hahn-Banach theorem, fixed-point theorems, duality theory, Krein-Milman theorem, theory of compact operators, much more. Many examples and exercises. 32-page bibliography. 1965 edition.

A First Look At Numerical Functional Analysis

Author : W. W. Sawyer
ISBN : 9780486478821
Genre : Mathematics
File Size : 29. 85 MB
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Functional analysis arose from traditional topics of calculus and integral and differential equations. This accessible text by an internationally renowned teacher and author starts with problems in numerical analysis and shows how they lead naturally to the concepts of functional analysis. Suitable for advanced undergraduates and graduate students, this book provides coherent explanations for complex concepts. Topics include Banach and Hilbert spaces, contraction mappings and other criteria for convergence, differentiation and integration in Banach spaces, the Kantorovich test for convergence of an iteration, and Rall's ideas of polynomial and quadratic operators. Numerous examples appear throughout the text.

Functional Analysis

Author : Frigyes Riesz
ISBN : 9780486162140
Genre : Mathematics
File Size : 33. 25 MB
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DIVClassic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition. /div

Applied Algebra And Functional Analysis

Author : Anthony N. Michel
ISBN : 9780486675985
Genre : Mathematics
File Size : 78. 28 MB
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"A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.

Basic Methods Of Linear Functional Analysis

Author : John D. Pryce
ISBN : 9780486483849
Genre : Mathematics
File Size : 33. 32 MB
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" An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. Topics include operators, function spaces, Hilbert spaces, and elementary Fourier analysis. "The author has a delightfully lively style which makes the book very readable, and there are numerous interesting and instructive problems." -- Edinburgh Math Society.1973 edition"--

Nonlinear Functional Analysis

Author : Klaus Deimling
ISBN : 9783662005477
Genre : Mathematics
File Size : 71. 89 MB
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topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we introduce an important topological concept, the so-called topological degree for continuous maps from subsets ofRn into Rn, you need not know anything about functional analysis. Starting with Chapter 2, where infinite dimensions first appear, one should be familiar with the essential step of consider ing a sequence or a function of some sort as a point in the corresponding vector space of all such sequences or functions, whenever this abstraction is worthwhile. One should also work out the things which are proved in § 7 and accept certain basic principles of linear functional analysis quoted there for easier references, until they are applied in later chapters. In other words, even the 'completely linear' sections which we have included for your convenience serve only as a vehicle for progress in nonlinearity. Another point that makes the text introductory is the use of an essentially uniform mathematical language and way of thinking, one which is no doubt familiar from elementary lectures in analysis that did not worry much about its connections with algebra and topology. Of course we shall use some elementary topological concepts, which may be new, but in fact only a few remarks here and there pertain to algebraic or differential topological concepts and methods.

A First Course In Functional Analysis

Author : Martin Davis
ISBN : 9780486499833
Genre : Mathematics
File Size : 43. 18 MB
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Designed for undergraduate mathematics majors, this introductory treatment is based on the distinguished author's lecture notes. The self-contained exposition of Gelfand's proof of Wiener's theorem explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and analytic functions into a Banach space. 1966 edition.

Elementary Functional Analysis

Author : Georgi E. Shilov
ISBN : 9780486318684
Genre : Mathematics
File Size : 44. 29 MB
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Introductory text covers basic structures of mathematical analysis (linear spaces, metric spaces, normed linear spaces, etc.), differential equations, orthogonal expansions, Fourier transforms, and more. Includes problems with hints and answers. Bibliography. 1974 edition.

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