functional analysis dover books on mathematics

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Elements Of The Theory Of Functions And Functional Analysis

Author : Andre? Nikolaevich Kolmogorov
ISBN : 0486406830
Genre : Mathematics
File Size : 59. 25 MB
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Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.

Elementary Functional Analysis

Author : Georgi E. Shilov
ISBN : 9780486318684
Genre : Mathematics
File Size : 33. 14 MB
Format : PDF
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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.

Applications Of Model Theory To Functional Analysis

Author : Jose Iovino
ISBN : 9780486780849
Genre : Mathematics
File Size : 66. 44 MB
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The first self-contained introduction to techniques of model theory, this 2002 text presents material still not readily available elsewhere, including Krivine's theorem and the Krivine-Maurey theorem on stable Banach spaces.

Foundations Of Modern Analysis

Author : Avner Friedman
ISBN : 0486640620
Genre : Mathematics
File Size : 48. 88 MB
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Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.

Basic Methods Of Linear Functional Analysis

Author : John D. Pryce
ISBN : 9780486173634
Genre : Mathematics
File Size : 42. 82 MB
Format : PDF
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Introduction to the themes of mathematical analysis, geared toward advanced undergraduate and graduate students. Topics include operators, function spaces, Hilbert spaces, and elementary Fourier analysis. Numerous exercises and worked examples.1973 edition.

Functional Analysis

Author : R.E. Edwards
ISBN : 9780486145105
Genre : Mathematics
File Size : 75. 67 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.

Functional Analysis

Author : Frigyes Riesz
ISBN : 9780486162140
Genre : Mathematics
File Size : 59. 5 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

A First Look At Numerical Functional Analysis

Author : W. W. Sawyer
ISBN : 9780486478821
Genre : Mathematics
File Size : 73. 53 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 : George Bachman
ISBN : 9780486136554
Genre : Mathematics
File Size : 26. 19 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.

A First Course In Functional Analysis

Author : Martin Davis
ISBN : 9780486315812
Genre : Mathematics
File Size : 77. 36 MB
Format : PDF, Kindle
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Designed for undergraduate mathematics majors, this 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 more. 1966 edition.

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