Elements Of Functional Analysis PDF Download
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Author | : I. J. Maddox |
Publisher | : CUP Archive |
Total Pages | : 258 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : 9780521358682 |
Download Elements of Functional Analysis Book in PDF, ePub and Kindle
An advanced textbook for an introductory course in functional analysis. Includes revision of the work on metric and topological linear spaces and reflexivity and weak convergence. New material on the Wiener algebra of absolutely convergent Fourier series and on weak topologies has been added. A new final chapter includes elementary applications of functional analysis to differential and integral equations. Annotation copyrighted by Book News, Inc., Portland, OR
Author | : Robert J. Zimmer |
Publisher | : University of Chicago Press |
Total Pages | : 169 |
Release | : 1990-01-15 |
Genre | : Mathematics |
ISBN | : 0226983382 |
Download Essential Results of Functional Analysis Book in PDF, ePub and Kindle
Functional analysis is a broad mathematical area with strong connections to many domains within mathematics and physics. This book, based on a first-year graduate course taught by Robert J. Zimmer at the University of Chicago, is a complete, concise presentation of fundamental ideas and theorems of functional analysis. It introduces essential notions and results from many areas of mathematics to which functional analysis makes important contributions, and it demonstrates the unity of perspective and technique made possible by the functional analytic approach. Zimmer provides an introductory chapter summarizing measure theory and the elementary theory of Banach and Hilbert spaces, followed by a discussion of various examples of topological vector spaces, seminorms defining them, and natural classes of linear operators. He then presents basic results for a wide range of topics: convexity and fixed point theorems, compact operators, compact groups and their representations, spectral theory of bounded operators, ergodic theory, commutative C*-algebras, Fourier transforms, Sobolev embedding theorems, distributions, and elliptic differential operators. In treating all of these topics, Zimmer's emphasis is not on the development of all related machinery or on encyclopedic coverage but rather on the direct, complete presentation of central theorems and the structural framework and examples needed to understand them. Sets of exercises are included at the end of each chapter. For graduate students and researchers in mathematics who have mastered elementary analysis, this book is an entrée and reference to the full range of theory and applications in which functional analysis plays a part. For physics students and researchers interested in these topics, the lectures supply a thorough mathematical grounding.
Author | : B.D. Reddy |
Publisher | : Springer Science & Business Media |
Total Pages | : 472 |
Release | : 2013-11-27 |
Genre | : Mathematics |
ISBN | : 1461205751 |
Download Introductory Functional Analysis Book in PDF, ePub and Kindle
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.
Author | : A. A. Kirillov |
Publisher | : Springer Science & Business Media |
Total Pages | : 351 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461381533 |
Download Theorems and Problems in Functional Analysis Book in PDF, ePub and Kindle
Even the simplest mathematical abstraction of the phenomena of reality the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic approach to the study of the real line involves describing its properties as a set to whose elements we can apply" operations," and obtaining an algebraic model of it on the basis of these properties, without regard for the topological properties. On the other hand, we can focus on the topology of the real line and construct a formal model of it by singling out its" continuity" as a basis for the model. Analysis regards the line, and the functions on it, in the unity of the whole system of their algebraic and topological properties, with the fundamental deductions about them obtained by using the interplay between the algebraic and topological structures. The same picture is observed at higher stages of abstraction. Algebra studies linear spaces, groups, rings, modules, and so on. Topology studies structures of a different kind on arbitrary sets, structures that give mathe matical meaning to the concepts of a limit, continuity, a neighborhood, and so on. Functional analysis takes up topological linear spaces, topological groups, normed rings, modules of representations of topological groups in topological linear spaces, and so on. Thus, the basic object of study in functional analysis consists of objects equipped with compatible algebraic and topological structures.
Author | : George Bachman |
Publisher | : Courier Corporation |
Total Pages | : 548 |
Release | : 2012-09-26 |
Genre | : Mathematics |
ISBN | : 0486136558 |
Download Functional Analysis Book in PDF, ePub and Kindle
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.
Author | : Francis Hirsch |
Publisher | : Springer Science & Business Media |
Total Pages | : 399 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461214440 |
Download Elements of Functional Analysis Book in PDF, ePub and Kindle
This book presents the fundamental function spaces and their duals, explores operator theory and finally develops the theory of distributions up to significant applications such as Sobolev spaces and Dirichlet problems. Includes an assortment of well formulated exercises, with answers and hints collected at the end of the book.
Author | : Lazarʹ A. Ljusternik |
Publisher | : |
Total Pages | : 108 |
Release | : 1957 |
Genre | : |
ISBN | : |
Download Elements of functional analysis Book in PDF, ePub and Kindle
Author | : Erwin Kreyszig |
Publisher | : John Wiley & Sons |
Total Pages | : 706 |
Release | : 1991-01-16 |
Genre | : Mathematics |
ISBN | : 0471504599 |
Download Introductory Functional Analysis with Applications Book in PDF, ePub and Kindle
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
Author | : E. Suhubi |
Publisher | : Springer Science & Business Media |
Total Pages | : 702 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 9401701415 |
Download Functional Analysis Book in PDF, ePub and Kindle
Functional Analysis is primarily concerned with the structure of infinite dimensional vector spaces and the transformations, which are frequently called operators, between such spaces. The elements of these vector spaces are usually functions with certain properties, which map one set into another. Functional analysis became one of the success stories of mathematics in the 20th century, in the search for generality and unification.
Author | : W. W. Sawyer |
Publisher | : Courier Dover Publications |
Total Pages | : 210 |
Release | : 2010-12-22 |
Genre | : Mathematics |
ISBN | : 0486478823 |
Download A First Look at Numerical Functional Analysis Book in PDF, ePub and Kindle
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.