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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.

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.

Applied Functional Analysis Third Edition

Applied Functional Analysis  Third Edition Author J. Tinsley Oden
ISBN-10 9781498761154
Release 2017-12-01
Pages 610
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Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science. This well-received textbook starts with a thorough introduction to modern mathematics before continuing with detailed coverage of linear algebra, Lebesque measure and integration theory, plus topology with metric spaces. The final two chapters provides readers with an in-depth look at the theory of Banach and Hilbert spaces before concluding with a brief introduction to Spectral Theory. The Third Edition is more accessible and promotes interest and motivation among students to prepare them for studying the mathematical aspects of numerical analysis and the mathematical theory of finite elements.

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.

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.

Introductory Functional Analysis

Introductory Functional Analysis Author B.D. Reddy
ISBN-10 9781461205753
Release 2013-11-27
Pages 472
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Providing an introduction to functional analysis, this text treats in detail its application to boundary-value problems and finite elements, and is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. It is intended for use by senior undergraduates and graduates in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Mature researchers wishing to learn the basic ideas of functional analysis will equally find this useful. Offers a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method.

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.

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.

A First Course in Functional Analysis

A First Course in Functional Analysis Author Martin Davis
ISBN-10 9780486315812
Release 2013-05-27
Pages 128
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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.

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.

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.

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

Functional Analysis in Applied Mathematics and Engineering

Functional Analysis in Applied Mathematics and Engineering Author Michael Pedersen
ISBN-10 0849371694
Release 1999-09-29
Pages 312
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Presenting excellent material for a first course on functional analysis , Functional Analysis in Applied Mathematics and Engineering concentrates on material that will be useful to control engineers from the disciplines of electrical, mechanical, and aerospace engineering. This text/reference discusses: rudimentary topology Banach's fixed point theorem with applications L^p-spaces density theorems for testfunctions infinite dimensional spaces bounded linear operators Fourier series open mapping and closed graph theorems compact and differential operators Hilbert-Schmidt operators Volterra equations Sobolev spaces control theory and variational analysis Hilbert Uniqueness Method boundary element methods Functional Analysis in Applied Mathematics and Engineering begins with an introduction to the important, abstract basic function spaces and operators with mathematical rigor, then studies problems in the Hilbert space setting. The author proves the spectral theorem for unbounded operators with compact inverses and goes on to present the abstract evolution semigroup theory for time dependent linear partial differential operators. This structure establishes a firm foundation for the more advanced topics discussed later in the text.

Applied Nonstandard Analysis

Applied Nonstandard Analysis Author Martin Davis
ISBN-10 9780486152349
Release 2014-06-10
Pages 208
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This applications-oriented text assumes no knowledge of mathematical logic in its development of nonstandard analysis techniques and their applications to elementary real analysis and topological and Hilbert space. 1977 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.

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.