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Real Analysis

By: Contributor(s): Material type: TextPublication details: Uttar Pradesh: 2015. Pearson EducationDescription: xii,505pISBN:
  • 9789332551589
Subject(s): DDC classification:
  • 4th ed. 515.8 ROY/R
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 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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Cover image Item type Current library Home library Collection Shelving location Call number Materials specified Vol info URL Copy number Status Notes Date due Barcode Item holds Item hold queue priority Course reserves
General Books Central Library, Sikkim University General Book Section 515.8 ROY/R (Browse shelf(Opens below)) Available 050929
Total holds: 0

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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