Lectures on Functional Analysis and Applications

FUNCTIONS In this Chapter the subject of functional analysis is determined and the general notions of a function and a space are given . In Section . 1.1 after a brief survey of the general notions of the sets theory and studying the ...

Author: Vladimir Semenovich Pugachev

Publisher: World Scientific

ISBN: 9810237235

Category: Mathematics

Page: 756

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This book is intended for those having only a moderate background in mathematics, who need to increase their mathematical knowledge for development in their areas of work and to read the related mathematical literature. The material covered, which includes practically all the information on functional analysis that may be necessary for those working in various areas of applications of mathematics, as well as the simplicity of presentation, differentiates this book from others. About 300 examples and more than 500 problems are provided to help readers understand and master the theories presented. The list of references enables readers to explore those topics in which they are interested, and gather further information about applications used as examples in the book.Applications: Probability Theory and Statistics, Signal and Image Processing, Systems Analysis and Design.
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Functional Analysis

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.

Author: R.E. Edwards

Publisher: Courier Corporation

ISBN: 9780486145105

Category: Mathematics

Page: 800

View: 808

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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.
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Functional Analysis and Applications

In: Powel MJP, Scholtes S (eds) System modeling and optimisation: methods, theory and applications. Kluwer Academic Publishers, Boston, pp 150–178 Griffel DH (1981) Applied functional analysis. Ellis Horwood Limited, Publishers, ...

Author: Abul Hasan Siddiqi

Publisher: Springer

ISBN: 9789811037252

Category: Mathematics

Page: 562

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This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.
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Functional Analysis and Applications

Proceedings of the Symposium of Analysis, Recife, Pernambuco, Brasil, July 9 to 29, 1972 L. Nachbin ... ki, (sort) #5 (tou (t)at = M4 (Tu) O and again an application of Theorem l provides the existence of an eigenfunction u which now ...

Author: L. Nachbin

Publisher: Springer

ISBN: 9783540383420

Category: Mathematics

Page: 272

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Nonlinear Functional Analysis and Applications

F. E. Browder [70] Nonlinear functional analysis and applications to nonlinear partial differential equations, Proceed. Internat. Congress of Mathematicians, Nice, Sept. 1970. K. M. Brown – J. E. Dennis [68] On Newton-like Iteration ...

Author: Louis B. Rall

Publisher: Elsevier

ISBN: 9781483272443

Category: Mathematics

Page: 594

View: 184

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Nonlinear Functional Analysis and Applications provides information pertinent to the fundamental aspects of nonlinear functional analysis and its application. This book provides an introduction to the basic concepts and techniques of this field. Organized into nine chapters, this book begins with an overview of the possibilities for applying ideas from functional analysis to problems in analysis. This text then provides a systematic exposition of several aspects of differential calculus in norms and topological linear spaces. Other chapters consider the various settings in nonlinear functional analysis in which differentials play a significant role. This book discusses as well the generalized inverse for a bounded linear operator, whose range is not necessarily closed. The final chapter deals with the equations of hydrodynamics, which are usually highly nonlinear and difficult to solve. This book is a valuable resource for mathematicians. Readers who are interested in nonlinear functional analysis will also find this book useful.
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Applications of Functional Analysis and Operator Theory

The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner.

Author: V. Hutson

Publisher: Elsevier

ISBN: 9780080527314

Category: Mathematics

Page: 432

View: 933

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Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces. Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results Introduces each new topic with a clear, concise explanation Includes numerous examples linking fundamental principles with applications Solidifies the reader's understanding with numerous end-of-chapter problems
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Linear and Nonlinear Functional Analysis with Applications

This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected ...

Author: Philippe G. Ciarlet

Publisher: SIAM

ISBN: 9781611972580

Category: Mathematics

Page: 832

View: 915

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This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features self-contained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis.
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Functional Analysis and Applications

Kurt Otto Friedrichs. '. ' f and this Is Poisson,s integral representation for a harmonic function.

Author: Kurt Otto Friedrichs

Publisher:

ISBN: UOM:39015000972706

Category: Functional analysis

Page: 420

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Functional Analysis and its Applications

The book contains a short historical article and scientific contributions of the conference participants, mostly in the areas of functional analysis, general topology, operator theory and related topics.

Author: Vladimir Kadets

Publisher: Elsevier

ISBN: 008047280X

Category: Mathematics

Page: 342

View: 331

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The conference took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach ƒ{ the most outstanding representative of the Lviv mathematical school. Banach spaces, introduced by Stefan Banach at the beginning of twentieth century, are familiar now to every mathematician. The book contains a short historical article and scientific contributions of the conference participants, mostly in the areas of functional analysis, general topology, operator theory and related topics.
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Functional Analysis with Applications

Functional analysis means analysis on function spaces. This is a field of mathematics that developed in the first half of the 20th century thanks in particular to the work of M.Frechet,S.Banach,andD.Hilbert.

Author: Svetlin G. Georgiev

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 9783110657722

Category: Mathematics

Page: 402

View: 958

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This book on functional analysis covers all the basics of the subject (normed, Banach and Hilbert spaces, Lebesgue integration and spaces, linear operators and functionals, compact and self-adjoint operators, small parameters, fixed point theory) with a strong focus on examples, exercises and practical problems, thus making it ideal as course material but also as a reference for self-study.
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