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Royden, H.L.

Real analysis - 4th ed. - New Delhi: Pearson, 2017. - xii, 497p.; PAPER BACK 23 cm.

Mathematics

Contents:
Preface;
I: Lebesgue Integration for Functions of a Single Real Variable; Preliminaries on Sets, Mapping, and Relations;
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 Lp Spaces: Completeness and Approximation
8. The Lp Spaces: Duality and Weak Convergence
II: Abstract Spaces: Matric, Topological, Branch, and Hilbert Spaces
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 Branch Spaces
14. Duality for Normed Linear Spaces
15. Compactness Regained: The Weak Topology
16. Continuous Linear Operators on Hilbert Spaces
III: Measures and Integration: General Theory
17. General Measure Spaces: Their Properties and Construction
18. Integration Over General Measure Spaces
19. General Lp Spaces: Completeness, Duality, and Weak Convergence
20. The Construction of Particular Measures
21. Measure and Topology
22. Invariant Measures;
Bibliography; Index.

Real Analysis

ISBN: 9789332551589

Subjects--Index Terms: Mathemetics

Dewey Class. No.: 517.52 / ROY