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Pure and Applied Mathematics: a Wiley Series of Texts, Monographs and Tracts Ser.: Real Analysis Vol. 1 : Modern Techniques and Their Applications by Gerald B. Folland (1999, Hardcover)

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Product Identifiers

PublisherWiley & Sons, Incorporated, John
ISBN-100471317160
ISBN-139780471317166
eBay Product ID (ePID)257024

Product Key Features

Number of Pages416 Pages
Publication NameReal Analysis Vol. 1 : Modern Techniques and Their Applications
LanguageEnglish
SubjectFunctional Analysis, Mathematical Analysis
Publication Year1999
FeaturesRevised
TypeTextbook
Subject AreaMathematics
AuthorGerald B. Folland
SeriesPure and Applied Mathematics: a Wiley Series of Texts, Monographs and Tracts Ser.
FormatHardcover

Dimensions

Item Height1.1 in
Item Weight24.9 Oz
Item Length9.5 in
Item Width6.4 in

Additional Product Features

Edition Number2
Intended AudienceScholarly & Professional
LCCN98-037260
Dewey Edition21
Series Volume Number40
IllustratedYes
Dewey Decimal515
Table Of ContentMeasures. Integration. Signed Measures and Differentiation. Point Set Topology. Elements of Functional Analysis. L¯p Spaces. Radon Measures. Elements of Fourier Analysis. Elements of Distribution Theory. Topics in Probability Theory. More Measures and Integrals. Bibliography. Indexes.
Edition DescriptionRevised edition
SynopsisAn in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory. This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include: * Revised material on the n-dimensional Lebesgue integral. * An improved proof of Tychonoff's theorem. * Expanded material on Fourier analysis. * A newly written chapter devoted to distributions and differential equations. * Updated material on Hausdorff dimension and fractal dimension., An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory. This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include: Revised material on the n-dimensional Lebesgue integral. An improved proof of Tychonoffs theorem. Expanded material on Fourier analysis. A newly written chapter devoted to distributions and differential equations. Updated material on Hausdorff dimension and fractal dimension., Das Buch widmet sich den Funktionen reeller Variablen hinsichtlich sowohl theoretischer Konzepte als auch verschiedener Anwendungsgebiete wie der Topologie und der Integration. In dieser uberarbeiteten Neuauflage wurden die Fourier-Analyse und der Abschnitt zu "Verteilungen und Differentialgleichungen" zu eigenstandigen Kapiteln ausgebaut, um die Attraktivitat des Bandes fur Studenten zu erhohen, die nicht unbedingt an der reinen Analysis interessiert sind. Neu aufgenommen wurde Material zur Hausdorff-Dimension und zu Fraktalen. (04/99), Real analysis is the section of mathematics that studies the functions of real variables such as measurements, integrations, and topology results. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject.
LC Classification NumberQA300.F67 1999