Textbook
Real Analysis: Modern Techniques and Their Applications, 2nd EditionISBN: 9780471317166
408 pages
April 1999, ©1999

An indepth look at real analysis and its applicationsnow 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 scopeextending 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 graduatelevel analysis courses. New features include:
* Revised material on the ndimensional 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.
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 scopeextending 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 graduatelevel analysis courses. New features include:
* Revised material on the ndimensional 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.
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Measures.
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.
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.
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Real Analysis: Modern Techniques and Their Applications, 2nd Edition (US $179.00)
and Real Analysis: A Constructive Approach (US $139.00)
Total List Price: US $318.00
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