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Applied Algebra and Functional Analysis

Applied Algebra and Functional Analysis Author Anthony N. Michel
ISBN-10 9780486675985
Release 1981
Pages 484
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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.

Nonlinear Functional Analysis

Nonlinear Functional Analysis Author Klaus Deimling
ISBN-10 9783662005477
Release 2013-11-11
Pages 450
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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.

Functional Analysis

Functional Analysis Author R.E. Edwards
ISBN-10 9780486145105
Release 2012-10-25
Pages 800
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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.

Applied Functional Analysis

Applied Functional Analysis Author D.H. Griffel
ISBN-10 9780486141329
Release 2012-04-26
Pages 390
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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.

A First Course in Functional Analysis

A First Course in Functional Analysis Author Martin Davis
ISBN-10 9780486499833
Release 2013
Pages 110
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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.

Applied Nonlinear Analysis

Applied Nonlinear Analysis Author Jean-Pierre Aubin
ISBN-10 9780486453248
Release 2006
Pages 518
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Nonlinear analysis, formerly a subsidiary of linear analysis, has advanced as an individual discipline, with its own methods and applications. Moreover, students can now approach this highly active field without the preliminaries of linear analysis. As this text demonstrates, the concepts of nonlinear analysis are simple, their proofs direct, and their applications clear. No prerequisites are necessary beyond the elementary theory of Hilbert spaces; indeed, many of the most interesting results lie in Euclidean spaces. In order to remain at an introductory level, this volume refrains from delving into technical difficulties and sophisticated results not in current use. Applications are explained as soon as possible, and theoretical aspects are geared toward practical use. Topics range from very smooth functions to nonsmooth ones, from convex variational problems to nonconvex ones, and from economics to mechanics. Background notes, comments, bibliography, and indexes supplement the text.

A Course in Functional Analysis

A Course in Functional Analysis Author John B. Conway
ISBN-10 9781475738285
Release 2013-04-17
Pages 406
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Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). Here the paths diverge in the choice of how that topology is defined and in whether to study the geometry of the linear space, or the linear operators on the space, or both. In this book I have tried to follow the common thread rather than any special topic. I have included some topics that a few years ago might have been thought of as specialized but which impress me as interesting and basic. Near the end of this work I gave into my natural temptation and included some operator theory that, though basic for operator theory, might be considered specialized by some functional analysts.

A First Look at Numerical Functional Analysis

A First Look at Numerical Functional Analysis Author W. W. Sawyer
ISBN-10 9780486478821
Release 2010-12-22
Pages 208
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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

Functional Analysis Author George Bachman
ISBN-10 9780486136554
Release 2012-09-26
Pages 544
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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.

Basic Methods of Linear Functional Analysis

Basic Methods of Linear Functional Analysis Author John D. Pryce
ISBN-10 9780486173634
Release 2014-05-05
Pages 320
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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.

Constructive Real Analysis

Constructive Real Analysis Author Allen A. Goldstein
ISBN-10 9780486286600
Release 2013-05-20
Pages 192
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This text introduces students of mathematics, science, and technology to the methods of applied functional analysis and applied convexity. Topics include iterations and fixed points, metric spaces, nonlinear programming, applications to integral equations, and more. 1967 edition.

Theory of Linear Operations

Theory of Linear Operations Author Stefan Banach
ISBN-10 0486469832
Release 2009-03-01
Pages 237
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Written by the founder of functional analysis, this is the first text on linear operator theory. Additional topics include the calculus of variations and theory of integral equations. 1987 edition.

Functional Analysis

Functional Analysis Author Michel Willem
ISBN-10 9781461470045
Release 2013-08-13
Pages 213
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The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of Functional Analysis: Fundamentals and Applications describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics.

Functional Analysis

Functional Analysis Author Frigyes Riesz
ISBN-10 9780486162140
Release 2012-12-27
Pages 528
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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

Elements of the Theory of Functions and Functional Analysis

Elements of the Theory of Functions and Functional Analysis Author Andre? Nikolaevich Kolmogorov
ISBN-10 0486406830
Release 1999
Pages 288
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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.

Applications of Model Theory to Functional Analysis

Applications of Model Theory to Functional Analysis Author Jose Iovino
ISBN-10 9780486798615
Release 2014-09-08
Pages 112
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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.

Applied Functional Analysis and Variational Methods in Engineering

Applied Functional Analysis and Variational Methods in Engineering Author J. N AUTOR REDDY
ISBN-10 STANFORD:36105023485589
Release 1991
Pages 546
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Applied Functional Analysis and Variational Methods in Engineering has been writing in one form or another for most of life. You can find so many inspiration from Applied Functional Analysis and Variational Methods in Engineering also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Applied Functional Analysis and Variational Methods in Engineering book for free.