Real Analysis

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.

Real Analysis

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.

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Real Analysis
Language: en
Pages: 416
Authors: Gerald B. Folland
Categories: Mathematics
Type: BOOK - Published: 2013-06-11 - Publisher: John Wiley & Sons

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
Real Analysis
Language: en
Pages: 350
Authors: G. B. Folland
Categories: Mathematics
Type: BOOK - Published: 1984-09-24 - Publisher: Wiley-Interscience

This book covers the subject matter that is central to mathematical analysis: measure and integration theory, some point set topology, and rudiments of functional analysis. Also, a number of other topics are developed to illustrate the uses of this core material in important areas of mathematics and to introduce readers
Function Spaces, Differential Operators and Nonlinear Analysis
Language: en
Pages: 476
Authors: Dorothee Haroske, Thomas Runst, Hans-Jürgen Schmeisser
Categories: Mathematics
Type: BOOK - Published: 2003-02-24 - Publisher: Springer Science & Business Media

This volume is dedicated to our teacher and friend Hans Triebel. The core of the book is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA--01) held in Teistungen, Thuringia / Germany, from June 28 to July 4,2001, in honour of his 65th
Real Analysis
Language: en
Pages: 320
Authors: Mark Bridger
Categories: Mathematics
Type: BOOK - Published: 2011-10-14 - Publisher: John Wiley & Sons

A unique approach to analysis that lets you apply mathematics across a range of subjects This innovative text sets forth a thoroughly rigorous modern account of the theoretical underpinnings of calculus: continuity, differentiability, and convergence. Using a constructive approach, every proof of every result is direct and ultimately computationally verifiable.
Real Analysis with Economic Applications
Language: en
Pages: 832
Authors: Efe A. Ok
Categories: Business & Economics
Type: BOOK - Published: 2011-09-05 - Publisher: Princeton University Press

There are many mathematics textbooks on real analysis, but they focus on topics not readily helpful for studying economic theory or they are inaccessible to most graduate students of economics. Real Analysis with Economic Applications aims to fill this gap by providing an ideal textbook and reference on real analysis