Introductory Functional Analysis

Author : Erwin Kreyszig
Publisher : John Wiley & Sons
Page : 706 pages
File Size : 51,8 Mb
Release : 1991-01-16
Category : Mathematics
ISBN : 9780471504597

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Introductory Functional Analysis with Applications by Erwin Kreyszig Pdf

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 : Kreyszig
Publisher : John Wiley & Sons
Page : 710 pages
File Size : 54,5 Mb
Release : 2007-03
Category : Functional analysis
ISBN : 8126511915

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Introductory Functional Analysis with Applications by Kreyszig Pdf

Market_Desc: · Undergraduate and Graduate Students in Mathematics and Physics· Engineering· Instructors

Author : Erwin Kreyszig
Publisher : Unknown
Page : 688 pages
File Size : 48,6 Mb
Release : 1989
Category : Functional analysis
ISBN : 9971513811

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Introductory Functional Analysis with Applications by Erwin Kreyszig Pdf

Author : Christian Clason
Publisher : Springer Nature
Page : 166 pages
File Size : 42,9 Mb
Release : 2020-11-30
Category : Mathematics
ISBN : 9783030527846

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Introduction to Functional Analysis by Christian Clason Pdf

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.

Author : B.D. Reddy
Publisher : Springer Science & Business Media
Page : 472 pages
File Size : 45,6 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 9781461205753

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Introductory Functional Analysis by B.D. Reddy Pdf

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 : Yuli Eidelman,Vitali D. Milman,Antonis Tsolomitis
Publisher : American Mathematical Soc.
Page : 344 pages
File Size : 47,9 Mb
Release : 2004
Category : Functional analysis
ISBN : 9780821836460

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Functional Analysis by Yuli Eidelman,Vitali D. Milman,Antonis Tsolomitis Pdf

This textbook provides an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded self-adjoint operators. The text corresponds to material for two semester courses (Part I and Part II, respectively) and is essentially self-contained. Prerequisites for the first part are minimal amounts of linear algebra and calculus. For the second part, some knowledge of topology and measure theory is recommended. Each of the 11 chapters is followed by numerous exercises, with solutions given at the end of the book. The amount of mathematics presented in the book can well be absorbed in a year's study and will provide a sound basis for future reading. It is suitable for graduate students and researchers interested in operator theory and functional analysis.

Author : Adam Bowers,Nigel J. Kalton
Publisher : Springer
Page : 242 pages
File Size : 53,8 Mb
Release : 2014-12-11
Category : Mathematics
ISBN : 9781493919451

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An Introductory Course in Functional Analysis by Adam Bowers,Nigel J. Kalton Pdf

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.

Author : Kosaku Yosida
Publisher : Springer Science & Business Media
Page : 480 pages
File Size : 46,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9783662117910

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Functional Analysis by Kosaku Yosida Pdf

Author : Reinhold Meise,Dietmar Vogt
Publisher : Clarendon Press
Page : 449 pages
File Size : 43,8 Mb
Release : 1997-07-31
Category : Electronic
ISBN : 9780191590924

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Introduction to Functional Analysis by Reinhold Meise,Dietmar Vogt Pdf

The book is written for students of mathematics and physics who have a basic knowledge of analysis and linear algebra. It can be used as a textbook for courses and/or seminars in functional analysis. Starting from metric spaces it proceeds quickly to the central results of the field, including the theorem of HahnBanach. The spaces (p Lp (X,(), C(X)' and Sobolov spaces are introduced. A chapter on spectral theory contains the Riesz theory of compact operators, basic facts on Banach and C*-algebras and the spectral representation for bounded normal and unbounded self-adjoint operators in Hilbert spaces. An introduction to locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Fr--eacute--;chet spaces and their duals. In particular recent results on sequences spaces, linear topological invariants and short exact sequences of Fr--eacute--;chet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field.

Author : Bryan Rynne,M.A. Youngson
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 41,5 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781447136552

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Linear Functional Analysis by Bryan Rynne,M.A. Youngson Pdf

This book provides an introduction to the ideas and methods of linear func tional analysis at a level appropriate to the final year of an undergraduate course at a British university. The prerequisites for reading it are a standard undergraduate knowledge of linear algebra and real analysis (including the the ory of metric spaces). Part of the development of functional analysis can be traced to attempts to find a suitable framework in which to discuss differential and integral equa tions. Often, the appropriate setting turned out to be a vector space of real or complex-valued functions defined on some set. In general, such a vector space is infinite-dimensional. This leads to difficulties in that, although many of the elementary properties of finite-dimensional vector spaces hold in infinite dimensional vector spaces, many others do not. For example, in general infinite dimensional vector spaces there is no framework in which to make sense of an alytic concepts such as convergence and continuity. Nevertheless, on the spaces of most interest to us there is often a norm (which extends the idea of the length of a vector to a somewhat more abstract setting). Since a norm on a vector space gives rise to a metric on the space, it is now possible to do analysis in the space. As real or complex-valued functions are often called functionals, the term functional analysis came to be used for this topic. We now briefly outline the contents of the book.

Author : Markus Haase
Publisher : American Mathematical Society
Page : 394 pages
File Size : 55,9 Mb
Release : 2014-09-17
Category : Mathematics
ISBN : 9780821891711

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Functional Analysis by Markus Haase Pdf

This book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue integration. It focuses on concepts and methods relevant in applied contexts such as variational methods on Hilbert spaces, Neumann series, eigenvalue expansions for compact self-adjoint operators, weak differentiation and Sobolev spaces on intervals, and model applications to differential and integral equations. Beyond that, the final chapters on the uniform boundedness theorem, the open mapping theorem and the Hahn-Banach theorem provide a stepping-stone to more advanced texts. The exposition is clear and rigorous, featuring full and detailed proofs. Many examples illustrate the new notions and results. Each chapter concludes with a large collection of exercises, some of which are referred to in the margin of the text, tailor-made in order to guide the student digesting the new material. Optional sections and chapters supplement the mandatory parts and allow for modular teaching spanning from basic to honors track level.

Author : Angus Ellis Taylor,David C. Lay
Publisher : Krieger Publishing Company
Page : 496 pages
File Size : 48,6 Mb
Release : 1986
Category : Functional analysis
ISBN : UCBK:C059569965

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Introduction to Functional Analysis by Angus Ellis Taylor,David C. Lay Pdf

Author : Piermarco Cannarsa,Teresa D'Aprile
Publisher : Springer
Page : 314 pages
File Size : 41,5 Mb
Release : 2015-07-15
Category : Mathematics
ISBN : 9783319170190

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Introduction to Measure Theory and Functional Analysis by Piermarco Cannarsa,Teresa D'Aprile Pdf

This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures. This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra.

Author : Sergei Ovchinnikov
Publisher : Springer
Page : 205 pages
File Size : 45,9 Mb
Release : 2018-06-09
Category : Mathematics
ISBN : 9783319915128

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Functional Analysis by Sergei Ovchinnikov Pdf

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.

Author : Antonio Ambrosetti,David Arcoya Álvarez
Publisher : Springer Science & Business Media
Page : 203 pages
File Size : 50,6 Mb
Release : 2011-07-19
Category : Mathematics
ISBN : 9780817681142

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An Introduction to Nonlinear Functional Analysis and Elliptic Problems by Antonio Ambrosetti,David Arcoya Álvarez Pdf

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.