Real Analysis
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Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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Central Library, Sikkim University General Book Section | 515.8 ROY/R (Browse shelf(Opens below)) | Available | 050929 |
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515.8 PON/R Real Analysis for the Undergraduate/ with an invitation to functional analysis | 515.8 PRO/B Basic elements of real analysis/ | 515.8 ROY/R Real analysis/ | 515.8 ROY/R Real Analysis | 515.88 HOR/N Nations of convexity/ | 515.882 URR/C Convex analysis and minimization algorithms/ | 515.9 ABL/C Complex variables: introduction and applications/ |
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 Spaces: Completeness and Approximation 8. The L 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 Spaces: Completeness, Duality and Weak Convergence 20. The Construction of Particular Measures 21. Measure and Topology 22. Invariant Measures
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