Real Analysis

Real Analysis (Paperback)

By Royden H L Fitzpatrick 
Publisher: Prentice-Hall
Edition: Paperback
Edition Number: 4
Language: English
ISBN: 8120342801
EAN: 9788120342804
No. of Pages: 520
Publish Date: 2011-1-1
Binding: Paperback
Ships to India.


This Fourth Edition of Real Analysis preserves the goal and general structure of its venerable predecessors to present the measure theory, integration theory, and functional analysis that a modern analyst needs to know.

New to this Edition :
This edition contains 50% more exercises than the previous edition.

Fundamental results, including Egoroff-s Theorem and Urysohn-s Lemma are now proven in the text.

The Borel-Cantelli Lemma, Chebychev-s Inequality, rapidly Cauchy sequences, and the continuity properties possessed both by measure and the integral are now formally presented in the text along with several other concepts

Table Of Contents
  • Preface
  • Lebesgue Integration for Functions of a Single Real Variable
  • The Real Numbers: Sets, Sequences, and Functions
  • Lebesgue Measure
  • Lebesgue Measurable Functions
  • Lebesgue Integration
  • Lebesgue Integration: Further Topics
  • Differentiation and Integration
  • The Lp Space: Completeness and Approximation
  • The Lp Space: Duality and Weak Convergence
  • Abstract Spaces: Metric, Topological, Banach, and Hilbert Spaces
  • Metric Spaces: General Properties
  • Metric Spaces: Three Fundamental Theorems
  • Topological Spaces: General Properties
  • Topological Spaces: Three Fundamental Theorems
  • Continuous Linear Operators Between Banach Spaces
  • Duality for Normed Linear Spaces
  • Compactness Regained: The Weak Topology
  • Continuous Linear Operators on Hilbert Spaces
  • Measure and Integration: General Theory
  • General Measure Spaces: Their Properties and Construction
  • Integration Over General Measure Spaces
  • General LP Spaces: Completeness, Duality, and Weak Convergence
  • The Construction of Particular Measures
  • Measure and Topology
  • Invariant Measures.
  • Bibliography
  • Index
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Title: Real Analysis
Publisher: Prentice-Hall
Author: Royden H L Fitzpatrick
Edition: Paperback
Edition Number: 4
Language: English
ISBN: 8120342801
EAN: 9788120342804
No. of Pages: 520
Publish Date: 2011-1-1
Binding: Paperback


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