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: 730

View: 469

Download →

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.
Posted in:

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: Robert E. Edwards

Publisher: Courier Corporation

ISBN: 0486681432

Category: Mathematics

Page: 804

View: 622

Download →

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.
Posted in:

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

View: 219

Download →

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.
Posted in:

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

View: 693

Download →

Posted in:

Nonlinear Functional Analysis and Applications

From the viewpoint of applications, differentials are perhaps the most useful and often essential tool for the analysis ... glimpses into various settings in nonlinear functional analysis in which differentials play an important role.

Author: Louis B. Rall

Publisher: Elsevier

ISBN: 9781483272443

Category: Mathematics

Page: 594

View: 350

Download →

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.
Posted in:

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

View: 283

Download →

Posted in:

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: 476

Download →

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
Posted in:

Introductory Functional Analysis with Applications

With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists.

Author: Erwin Kreyszig

Publisher: John Wiley & Sons

ISBN: 9780471504597

Category: Mathematics

Page: 704

View: 591

Download →

KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometnc Algebra R. W. Carter Simple Groups Of Lie Type Richard Courant Differential and Integrai Calculus. Volume I Richard Courant Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics. Volume II Harold M. S. Coxeter Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz Linear Operators, Part Two. Spectral Theory—Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators. Part Three. Spectral Operators Peter HenriCi Applied and Computational Complex Analysis. Volume I—Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications P. M. Prenter Splines and Variational Methods C. L. Siegel TOPICS in Complex Function Theory. Volume I —Elliptic Functions and Uniformizatton Theory C. L. Siegel Topics in Complex Function Theory. Volume II —Automorphic and Abelian Integrals C. L. Siegel TOPICS In Complex Function Theory. Volume III —Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry
Posted in:

Lectures on Functional Analysis and Applications

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.

Author: V S Pugachev

Publisher: World Scientific Publishing Company

ISBN: 9789813102927

Category: Mathematics

Page: 752

View: 495

Download →

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.
Posted in:

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: 928

Download →

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.
Posted in: