Download or read book An Introductory Course in Functional Analysis written by Adam Bowers and published by Springer. This book was released on 2014-12-11 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn–Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman–Pettis theorem. With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.
Download or read book A Course in Functional Analysis written by John B Conway and published by Springer. This book was released on 2019-03-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS
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.
Download or read book Functional Analysis written by Sergei Ovchinnikov and published by Springer. This book was released on 2018-06-09 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each chapter provide ample opportunities for practice with the material. Proofs of theorems such as the Uniform Boundedness Theorem, the Open Mapping Theorem, and the Closed Graph Theorem are worked through step-by-step, providing an accessible avenue to understanding these important results. The prerequisites for this book are linear algebra and elementary real analysis, with two introductory chapters providing an overview of material necessary for the subsequent text. Functional Analysis offers an elementary approach ideal for the upper-undergraduate or beginning graduate student. Primarily intended for a one-semester introductory course, this text is also a perfect resource for independent study or as the basis for a reading course.
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.
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
Download or read book A First Course in Functional Analysis written by Caspar Goffman and published by American Mathematical Soc.. This book was released on 2017-02-13 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition includes exercises at the end of each chapter, revised bibliographies, references and an index.
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.
Download or read book A First Course in Functional Analysis written by Rabindranath Sen and published by Anthem Press. This book was released on 2014-11-01 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with a comprehensive introduction to functional analysis. Topics include normed linear and Hilbert spaces, the Hahn-Banach theorem, the closed graph theorem, the open mapping theorem, linear operator theory, the spectral theory, and a brief introduction to the Lebesgue measure. The book explains the motivation for the development of these theories, and applications that illustrate the theories in action. Applications in optimal control theory, variational problems, wavelet analysis and dynamical systems are also highlighted. ‘A First Course in Functional Analysis’ will serve as a ready reference to students not only of mathematics, but also of allied subjects in applied mathematics, physics, statistics and engineering.
Download or read book Functional Analysis written by Terry J. Morrison and published by John Wiley & Sons. This book was released on 2011-10-14 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: A powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented. While occasionally using the more general topological vector space and locally convex space setting, it emphasizes the development of the reader's mathematical maturity and the ability to both understand and "do" mathematics. In so doing, Functional Analysis provides a strong springboard for further exploration on the wide range of topics the book presents, including: * Weak topologies and applications * Operators on Banach spaces * Bases in Banach spaces * Sequences, series, and geometry in Banach spaces Stressing the general techniques underlying the proofs, Functional Analysis also features many exercises for immediate clarification of points under discussion. This thoughtful, well-organized synthesis of the work of those mathematicians who created the discipline of functional analysis as we know it today also provides a rich source of research topics and reference material.
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.
Download or read book Beginning Functional Analysis written by Karen Saxe and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces. The author's goal is to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed courses in linear algebra and real analysis, and to develop the topics in their historical contexts.
Download or read book An Introduction to Nonlinear Functional Analysis and Elliptic Problems written by Antonio Ambrosetti and published by Springer Science & Business Media. This book was released on 2011-07-19 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.
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:
Download or read book A First Course in Functional Analysis written by S. David Promislow and published by Wiley-Interscience. This book was released on 2008-04-25 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Requiring only a preliminary knowledge of elementary linear algebra and real analysis, this book provides an introduction to the basic principles and practical applications of functional analysis. Based on the author's own class-tested material, the book uses clear language to explain the major concepts of functional analysis. As opposed to simply presenting the proofs, the author outlines the logic behind the steps, demonstrates the development of arguments, and discusses how the concepts are connected to one another. Each chapter concludes ...
Download or read book Nonlinear Functional Analysis written by S. Kesavan and published by Springer. This book was released on 2004-01-15 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Functional Analysis written by Yuli Eidelman and published by American Mathematical Soc.. This book was released on 2004 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators and spectral theory of self-adjoint operators. This work presents the theorems and methods of abstract functional analysis and applications of these methods to Banach algebras and theory of unbounded self-adjoint operators.
