Overview

This text is designed for graduate-level courses in real analysis.     Real Analysis, 4th Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis.  

Full Product Details

Author:   Halsey Royden ,  Patrick Fitzpatrick ,  Patrick Fitzpatrick ,  Patrick Fitzpatrick
Publisher:   Pearson Education (US)
Imprint:   Pearson
Edition:   4th edition
Dimensions:   Width: 23.00cm , Height: 17.20cm , Length: 2.80cm
Weight:   1.500kg
ISBN:  

9780134689494

ISBN 10:   0134689496
Pages:   528
Publication Date:   21 August 2017
Audience:   College/higher education ,  Tertiary & Higher Education
Replaced By:   9780137906529
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

PART I: LEBESGUE INTEGRATION FOR FUNCTIONS OF A SINGLE REAL VARIABLE 1. The Real Numbers: Sets, Sequences and Functions 2. Lebesgue Measure 3. Lebesgue Measurable Functions 4. Lebesgue Integration 5. Lebesgue Integration: Further Topics 6. Differentiation and Integration 7. The L Ρ Spaces: Completeness and Approximation 8. The L Ρ Spaces: Duality and Weak Convergence PART II: ABSTRACT SPACES: METRIC, TOPOLOGICAL, AND HILBERT 9. Metric Spaces: General Properties 10. Metric Spaces: Three Fundamental Theorems 11. Topological Spaces: General Properties 12. Topological Spaces: Three Fundamental Theorems 13. Continuous Linear Operators Between Banach Spaces 14. Duality for Normed Linear Spaces 15. Compactness Regained: The Weak Topology 16. Continuous Linear Operators on Hilbert Spaces PART III: MEASURE AND INTEGRATION: GENERAL THEORY 17. General Measure Spaces: Their Properties and Construction 18. Integration Over General Measure Spaces 19. General L Ρ Spaces: Completeness, Duality and Weak Convergence 20. The Construction of Particular Measures 21. Measure and Topology 22. Invariant Measures

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions