Elements of the Theory of Functions and Functional Analysis

Elements of the Theory of Functions and Functional Analysis PDF Author: Andre? Nikolaevich Kolmogorov
Publisher: Courier Corporation
ISBN: 9780486406831
Category : Mathematics
Languages : en
Pages : 292

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Book Description
Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.

Introductory Functional Analysis with Applications

Introductory Functional Analysis with Applications PDF Author: Erwin Kreyszig
Publisher: John Wiley & Sons
ISBN: 0471504599
Category : Mathematics
Languages : en
Pages : 706

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Book Description
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

Elements of the Theory of Functions and Functional Analysis. (Vol. 1. Metric and Normed Spaces

Elements of the Theory of Functions and Functional Analysis. (Vol. 1. Metric and Normed Spaces PDF Author: Andreĭ Nikolaevich Kolmogorov
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description


Elements of the Theory of Functions and Functional Analysis

Elements of the Theory of Functions and Functional Analysis PDF Author: Andre? Nikolaevich Kolmogorov
Publisher: Courier Corporation
ISBN: 9780486406831
Category : Mathematics
Languages : en
Pages : 292

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Book Description
Advanced-level text, now available in a single volume, discusses metric and normed spaces, continuous curves in metric spaces, measure theory, Lebesque intervals, Hilbert space, more. Exercises. 1957 edition.

Elements of the Theory of Functions and Functional Analysis

Elements of the Theory of Functions and Functional Analysis PDF Author: Andreĭ Nikolaevich Kolmogorov
Publisher: Courier Corporation
ISBN: 9789998063754
Category : Functional analysis
Languages : en
Pages : 166

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Book Description


Elements of the Theory of Functions and Functional Analysis: Metric and normed spaces. v. 2. Measure. The Lebesgue integral. Hilbert space

Elements of the Theory of Functions and Functional Analysis: Metric and normed spaces. v. 2. Measure. The Lebesgue integral. Hilbert space PDF Author: Andreĭ Nikolaevich Kolmogorov
Publisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 148

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Book Description


A Course in Functional Analysis and Measure Theory

A Course in Functional Analysis and Measure Theory PDF Author: Vladimir Kadets
Publisher: Springer
ISBN: 3319920049
Category : Mathematics
Languages : en
Pages : 553

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Book Description
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.

Functional Analysis

Functional Analysis PDF Author: Joseph Muscat
Publisher: Springer Nature
ISBN: 3031275373
Category :
Languages : en
Pages : 462

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Book Description


Functional Analysis, Sobolev Spaces and Partial Differential Equations

Functional Analysis, Sobolev Spaces and Partial Differential Equations PDF Author: Haim Brezis
Publisher: Springer Science & Business Media
ISBN: 0387709142
Category : Mathematics
Languages : en
Pages : 600

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Book Description
This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Functional Analysis

Functional Analysis PDF Author: George Bachman
Publisher: Courier Corporation
ISBN: 0486136558
Category : Mathematics
Languages : en
Pages : 548

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Book Description
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.

Metrics, Norms, Inner Products, and Operator Theory

Metrics, Norms, Inner Products, and Operator Theory PDF Author: Christopher Heil
Publisher: Birkhäuser
ISBN: 3319653229
Category : Mathematics
Languages : en
Pages : 374

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Book Description
This text is a self-contained introduction to the three main families that we encounter in analysis – metric spaces, normed spaces, and inner product spaces – and to the operators that transform objects in one into objects in another. With an emphasis on the fundamental properties defining the spaces, this book guides readers to a deeper understanding of analysis and an appreciation of the field as the “science of functions.” Many important topics that are rarely presented in an accessible way to undergraduate students are included, such as unconditional convergence of series, Schauder bases for Banach spaces, the dual of lp topological isomorphisms, the Spectral Theorem, the Baire Category Theorem, and the Uniform Boundedness Principle. The text is constructed in such a way that instructors have the option whether to include more advanced topics. Written in an appealing and accessible style, Metrics, Norms, Inner Products, and Operator Theory is suitable for independent study or as the basis for an undergraduate-level course. Instructors have several options for building a course around the text depending on the level and interests of their students. Key features: Aimed at students who have a basic knowledge of undergraduate real analysis. All of the required background material is reviewed in the first chapter. Suitable for undergraduate-level courses; no familiarity with measure theory is required. Extensive exercises complement the text and provide opportunities for learning by doing. A separate solutions manual is available for instructors via the Birkhäuser website (www.springer.com/978-3-319-65321-1). Unique text providing an undergraduate-level introduction to metrics, norms, inner products, and their associated operator theory.