Real Analysis 2E: Modern Techniques and Their Applications by Gerald B. Folland
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About this book :-
Real Analysis 2E: Modern Techniques and Their Applications written by
Gerald B. Folland
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
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
devoted to distributions and differential equations.* Updated material on Hausdorff dimension and fractal dimension.
(Gerald B. Folland)
Book Detail :-
Title: Real Analysis 2E: Modern Techniques and Their Applications
Edition:
Author(s): Gerald B. Folland
Publisher: Wiley-Interscience
Series: Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts
Year: 1999
Pages: 402
Type: PDF
Language: English
ISBN: 0471317160,9780471317166
Country: US
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About Author :-
Author Gerald Budge Folland is an American mathematician and a professor of mathematics at the University of Washington. His areas of interest are harmonic analysis (on both Euclidean space and Lie groups), differential equations, and mathematical physics. The title of his doctoral dissertation at Princeton University (1971) is "The Tangential Cauchy-Riemann Complex on Spheres".
He is the author of several textbooks in mathematical analysis. In 2012 he became a fellow of the American Mathematical Society.
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Book Contents :-
Real Analysis 2E: Modern Techniques and Their Applications written by
Gerald B. Folland
cover the following topics.
Preface
0. Prologue
1. Measures
2. Integration 43
3. Signed Measures and Differentiation 85
4. Point Set Topology 113
5. Elements of Functional Analysis 151
6. LP Spaces 181
7. Radon Measures 211
8. Elements of Fourier Analysis 235
9. Elements of Distribution Theory 281
10. Topics in Probability Theory 313
11. More Measures and Integrals
Bibliography
Index of Notation
Index
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