An in-depth look at real analysis and its applications-now expandedand revised.This new edition of the widely used analysis book continues tocover real analysis in greater detail and at a more advanced levelthan most books on the subject. Encompassing several subjects thatunderlie much of modern analysis, the book focuses on measure andintegration theory, point set topology, and the basics offunctional analysis. It illustrates the use of the general theoriesand introduces readers to other branches of analysis such asFourier analysis, distribution theory, and probabilitytheory.This edition is bolstered in content as well as in scope-extendingits usefulness to students outside of pure analysis as well asthose interested in dynamical systems. The numerous exercises,extensive bibliography, and review chapter on sets and metricspaces make Real Analysis: Modern Techniques and TheirApplications, Second Edition invaluable for students ingraduate-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 differentialequations.* Updated material on Hausdorff dimension and fractal dimension.
|Series:||Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Series , #40|
|Product dimensions:||6.45(w) x 9.50(h) x 1.10(d)|
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.
Table of Contents
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.
Most Helpful Customer Reviews
The book is very dense, and the proofs (even though good) are not for the beginner. This is an excellent reference book for those doing research, but very difficult for those who have to learn from it.