Lectures On Functional Analysis And Applications

By: V S Pugachev, Igor Sinitsyn

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Paperback | 6 July 1999

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752 Pages

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This volume is not only intended for mathematicians who deal with applications of functional analysis, but also for those having only a moderate background in mathematics in their areas of work.The materials covered, which includes practically all the information on functional analysis that may be necessary for those working in various areas of mathematics applications, as well as the simplicity of presentation, differentiates this book from others. The method and style of presentation of materials make it digestible and easily understood by readers.This second edition includes new and updated 300 examples and more than 500 problems to help readers understand and master the theories presented. In addition, necessary improvements for bringing the contents more up to date with current fundamental and applied developments in Chapters 1-10 were made. Now, Chapter 9 covers nonlinear and stochastic problems and Chapter 10, devoted to elements of numerical functional analysis, has been completely revised and broadened.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Applied Mathematics Differential Calculus & Equations Booktopia Publisher Services World Scientific Publishing

Preface
Sets. Spaces. Functions	p. 1
Measure Theory	p. 55
Integrals	p. 113
Topological Spaces	p. 223
Spaces of Operators and Functionals	p. 285
Linear Operators	p. 369
Linear Operators in Hilbert Spaces	p. 429
Spectral Theory of Linear Operators	p. 515
Nonlinear Problems of Functional Analysis	p. 591
Elements of Approximate Methods in Abstract Spaces	p. 645
Appendices	p. 697
Basic Characteristics of Some Typical Linear Systems	p. 697
Some Definite Integrals and Special Functions	p. 706
Laplace, Fourier, Sine and Cosine Transforms	p. 708
References	p. 719
Subject Index	p. 723
Table of Contents provided by Blackwell. All Rights Reserved.

Lectures On Functional Analysis And Applications

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