000			01782nam a22002417a 4500
999			_c7399 _d7399
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005			20190201100905.0
008			190201b xxu||||| |||| 00| 0 eng d
020			_a9789332551589
040			_aACL
041			_aENG
082			_a517.52 _bROY
100			_aRoyden, H.L.
245			_aReal analysis
250			_a4th ed.
260			_aNew Delhi: _bPearson, _c2017.
300			_axii, 497p.; _bPAPER BACK _c23 cm.
500			_aMathematics
505			_aContents: 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.
520			_aReal Analysis
653			_aMathemetics
700			_aFitzpatrick, P.M.