A Course Of Applied Functional Analysis

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Applications of Mathematics

Author : A. V. Balakrishnan
Publisher : Springer
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Applications of Mathematics by : A. V. Balakrishnan

Download or read book Applications of Mathematics written by A. V. Balakrishnan and published by Springer. This book was released on 1981-05-04 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: In preparing the second edition, I have taken advantage of the opportunity to correct errors as well as revise the presentation in many places. New material has been included, in addition, reflecting relevant recent work. The help of many colleagues (and especially Professor J. Stoer) in ferreting out errors is gratefully acknowledged. I also owe special thanks to Professor v. Sazonov for many discussions on the white noise theory in Chapter 6. February, 1981 A. V. BALAKRISHNAN v Preface to the First Edition The title "Applied Functional Analysis" is intended to be short for "Functional analysis in a Hilbert space and certain of its applications," the applications being drawn mostly from areas variously referred to as system optimization or control systems or systems analysis. One of the signs of the times is a discernible tilt toward application in mathematics and conversely a greater level of mathematical sophistication in the application areas such as economics or system science, both spurred undoubtedly by the heightening pace of digital computer usage. This book is an entry into this twilight zone. The aspects of functional analysis treated here are rapidly becoming essential in the training at the advance graduate level of system scientists and/or mathematical economists. There are of course now available many excellent treatises on functional analysis.

Applied functional Analysis and Partial Differential Equations

Author : Milan Miklavčič
Publisher : Allied Publishers
ISBN 13 : 9788177648515
Total Pages : 316 pages
Book Rating : 4.6/5 (485 download)

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Book Synopsis Applied functional Analysis and Partial Differential Equations by : Milan Miklavčič

Download or read book Applied functional Analysis and Partial Differential Equations written by Milan Miklavčič and published by Allied Publishers. This book was released on 1998 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Algebra and Functional Analysis

Author : Anthony N. Michel
Publisher : Courier Corporation
ISBN 13 : 048667598X
Total Pages : 514 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Applied Algebra and Functional Analysis by : Anthony N. Michel

Download or read book Applied Algebra and Functional Analysis written by Anthony N. Michel and published by Courier Corporation. This book was released on 1993-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

A Course in Functional Analysis and Measure Theory

Author : Vladimir Kadets
Publisher : Springer
ISBN 13 : 3319920049
Total Pages : 553 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis A Course in Functional Analysis and Measure Theory by : Vladimir Kadets

Download or read book A Course in Functional Analysis and Measure Theory written by Vladimir Kadets and published by Springer. This book was released on 2018-07-10 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.

Introductory Functional Analysis with Applications

Author : Erwin Kreyszig
Publisher : John Wiley & Sons
ISBN 13 : 0471504599
Total Pages : 706 pages
Book Rating : 4.4/5 (715 download)

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Book Synopsis Introductory Functional Analysis with Applications by : Erwin Kreyszig

Download or read book Introductory Functional Analysis with Applications written by Erwin Kreyszig and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Functional Analysis

Author : Peter D. Lax
Publisher : John Wiley & Sons
ISBN 13 : 1118626745
Total Pages : 451 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Functional Analysis by : Peter D. Lax

Download or read book Functional Analysis written by Peter D. Lax and published by John Wiley & Sons. This book was released on 2014-08-28 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables. Includes an appendix on the Riesz representation theorem.

Functional Analysis

Author : George Bachman
Publisher : Courier Corporation
ISBN 13 : 0486136558
Total Pages : 548 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Functional Analysis by : George Bachman

Download or read book Functional Analysis written by George Bachman and published by Courier Corporation. This book was released on 2012-09-26 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Martin Davis
Publisher : Courier Corporation
ISBN 13 : 0486315819
Total Pages : 129 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis A First Course in Functional Analysis by : Martin Davis

Download or read book A First Course in Functional Analysis written by Martin Davis and published by Courier Corporation. This book was released on 2013-05-27 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Functional Analysis in Applied Mathematics and Engineering

Author : Michael Pedersen
Publisher : Routledge
ISBN 13 : 1351446908
Total Pages : 312 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Functional Analysis in Applied Mathematics and Engineering by : Michael Pedersen

Download or read book Functional Analysis in Applied Mathematics and Engineering written by Michael Pedersen and published by Routledge. This book was released on 2018-10-03 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introductory Functional Analysis

Author : B.D. Reddy
Publisher : Springer Science & Business Media
ISBN 13 : 1461205751
Total Pages : 472 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Introductory Functional Analysis by : B.D. Reddy

Download or read book Introductory Functional Analysis written by B.D. Reddy and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Functional Analysis

Author : Christian Clason
Publisher : Springer Nature
ISBN 13 : 3030527840
Total Pages : 166 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Introduction to Functional Analysis by : Christian Clason

Download or read book Introduction to Functional Analysis written by Christian Clason and published by Springer Nature. This book was released on 2020-11-30 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing. This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 lectures of 90 minutes each. It ranges from the topological fundamentals recalled from basic lectures on real analysis to spectral theory in Hilbert spaces. Special attention is given to the central results on dual spaces and weak convergence.

Functional Analysis

Author : Kosaku Yosida
Publisher : Springer Science & Business Media
ISBN 13 : 3662117916
Total Pages : 480 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Functional Analysis by : Kosaku Yosida

Download or read book Functional Analysis written by Kosaku Yosida and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Functional Data Analysis

Author : J.O. Ramsay
Publisher : Springer
ISBN 13 : 0387224653
Total Pages : 194 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Applied Functional Data Analysis by : J.O. Ramsay

Download or read book Applied Functional Data Analysis written by J.O. Ramsay and published by Springer. This book was released on 2007-11-23 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the ideas of functional data analysis by a number of case studies. The case studies are accessible to research workers in a wide range of disciplines. Every reader should gain not only a specific understanding of the methods of functional data analysis, but more importantly a general insight into the underlying patterns of thought. There is an associated web site with MATLABr and S?PLUSr implementations of the methods discussed.

Computational Functional Analysis

Author : Ramon E Moore
Publisher : Elsevier
ISBN 13 : 0857099434
Total Pages : 193 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Computational Functional Analysis by : Ramon E Moore

Download or read book Computational Functional Analysis written by Ramon E Moore and published by Elsevier. This book was released on 2007-06-01 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ''hybrid'' method for difficult real-life problems, with a balance between coverage of linear and non-linear operator equations. The authors successful teaching philosophy: ''We learn by doing'' is reflected throughout the book. - Contains 100 problem-exercises, answers and tutorial hints for students reading applied functional analysis - Introduces interval analysis into the mainstream of computational functional analysis

Functional Analysis, Calculus of Variations and Optimal Control

Author : Francis Clarke
Publisher : Springer Science & Business Media
ISBN 13 : 1447148207
Total Pages : 589 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Functional Analysis, Calculus of Variations and Optimal Control by : Francis Clarke

Download or read book Functional Analysis, Calculus of Variations and Optimal Control written by Francis Clarke and published by Springer Science & Business Media. This book was released on 2013-02-06 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor. This book provides a thorough introduction to functional analysis and includes many novel elements as well as the standard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. The author provides a comprehensive course on these subjects, from their inception through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximum principle, which appear here for the first time in a textbook. Other major themes include existence and Hamilton-Jacobi methods. The many substantial examples, and the more than three hundred exercises, treat such topics as viscosity solutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory. They also touch lightly upon several fields of application: mechanics, economics, resources, finance, control engineering. Functional Analysis, Calculus of Variations and Optimal Control is intended to support several different courses at the first-year or second-year graduate level, on functional analysis, on the calculus of variations and optimal control, or on some combination. For this reason, it has been organized with customization in mind. The text also has considerable value as a reference. Besides its advanced results in the calculus of variations and optimal control, its polished presentation of certain other topics (for example convex analysis, measurable selections, metric regularity, and nonsmooth analysis) will be appreciated by researchers in these and related fields.

A First Course in Functional Analysis

Author : Orr Moshe Shalit
Publisher : CRC Press
ISBN 13 : 1498771629
Total Pages : 257 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis A First Course in Functional Analysis by : Orr Moshe Shalit

Download or read book A First Course in Functional Analysis written by Orr Moshe Shalit and published by CRC Press. This book was released on 2017-03-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a course would be designed, with an emphasis on clarity and logical development alongside real applications in analysis. The background required for a student taking this course is minimal; basic linear algebra, calculus up to Riemann integration, and some acquaintance with topological and metric spaces.

Applied Analysis

Author : John K. Hunter
Publisher : World Scientific
ISBN 13 : 9789810241919
Total Pages : 460 pages
Book Rating : 4.2/5 (419 download)

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Book Synopsis Applied Analysis by : John K. Hunter

Download or read book Applied Analysis written by John K. Hunter and published by World Scientific. This book was released on 2001 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor. The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient.