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Real Analysis: Modern Techniques and Their Applications: 40 (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) - Hardcover

 
9780471317166: Real Analysis: Modern Techniques and Their Applications: 40 (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Synopsis

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 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.

"synopsis" may belong to another edition of this title.

About the Author

GERALD B. FOLLAND is Professor of Mathematics at the University of Washington in Seattle. He has written extensively on mathematical analysis, including Fourier analysis, harmonic analysis, and differential equations.

From the Back Cover

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 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.

From the Inside Flap

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 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.

"About this title" may belong to another edition of this title.

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Folland, Gerald B.
ISBN 10: 0471317160 ISBN 13: 9780471317166
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Hardcover. Condition: new. Hardcover. 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 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. 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 detail. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780471317166

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Hardcover. Condition: new. Hardcover. 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 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. 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 detail. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780471317166

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Buch. Condition: Neu. Neuware - Das Buch widmet sich den Funktionen reeller Variablen hinsichtlich sowohl theoretischer Konzepte als auch verschiedener Anwendungsgebiete wie der Topologie und der Integration. In dieser überarbeiteten Neuauflage wurden die Fourier-Analyse und der Abschnitt zu 'Verteilungen und Differentialgleichungen' zu eigenständigen Kapiteln ausgebaut, um die Attraktivität des Bandes für Studenten zu erhöhen, die nicht unbedingt an der reinen Analysis interessiert sind. Neu aufgenommen wurde Material zur Hausdorff-Dimension und zu Fraktalen. (04/99). Seller Inventory # 9780471317166

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