Home | | Shopping Cart | | Track Your Order | Help | Wish List | Contact Us
> >

Real Analysis

By Royden H L Fitzpatrick (Author)

Price Not Available
Price Not Available

Out Of Stock
Real Analysis
INR
P-M-B-9788120342804
Out Of Stock
0.0
Price Not Available
Out of Stock

Description

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
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

Features

  • : Real Analysis
  • : Royden H L Fitzpatrick
  • : Prentice-Hall
  • : 8120342801
  • : 9788120342804
  • : Paperback
  • : 520
  • : English

Look for Similar Items by Category

Disclaimer

Shipped by Infibeam.com

The following policies apply for the above product which would be shipped by Infibeam.com
1. Infibeam accept returns if the item shipped is defective or damaged
2. In case of damaged or defective product, the customer is required to raise a concern and ship the product back to us within 15 days from delivery
3. Return shipping costs will be borne by Infibeam.com
4. Infibeam will send a replacement unit as soon as the return package is received
5. Infibeam does not offer any cash refunds

Contact Us

Others

My Account

Help

Payment Options

  • Credit Cards
  • Net Banking(All Major Indian Banks)
payment.jpg
Powered by infibeam