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- 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 LΡ Spaces: Completeness and Approximation
- 8. The LΡ 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 LΡ Spaces: Completeness, Duality and Weak Convergence
- 20. The Construction of Particular Measures
- 21. Measure and Topology
- 22. Invariant Measures
- 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 LΡ Spaces: Completeness and Approximation
- 8. The LΡ 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 LΡ Spaces: Completeness, Duality and Weak Convergence
- 20. The Construction of Particular Measures
- 21. Measure and Topology
- 22. Invariant Measures
| Erscheinungsjahr: | 2017 |
|---|---|
| Medium: | Taschenbuch |
| Reihe: | Pearson Modern Classics for Advanced Mathematics Series |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9780134689494 |
| ISBN-10: | 0134689496 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Royden, Halsey
Fitzpatrick, Patrick |
| Auflage: | 4. Auflage |
| Hersteller: | Pearson |
| Verantwortliche Person für die EU: | Pearson, St.-Martin-Str. 82, D-81541 München, salesde@pearson.com |
| Maße: | 182 x 235 x 32 mm |
| Von/Mit: | Halsey Royden (u. a.) |
| Erscheinungsdatum: | 14.08.2017 |
| Gewicht: | 0,816 kg |
| Erscheinungsjahr: | 2017 |
|---|---|
| Medium: | Taschenbuch |
| Reihe: | Pearson Modern Classics for Advanced Mathematics Series |
| Inhalt: | Kartoniert / Broschiert |
| ISBN-13: | 9780134689494 |
| ISBN-10: | 0134689496 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Royden, Halsey
Fitzpatrick, Patrick |
| Auflage: | 4. Auflage |
| Hersteller: | Pearson |
| Verantwortliche Person für die EU: | Pearson, St.-Martin-Str. 82, D-81541 München, salesde@pearson.com |
| Maße: | 182 x 235 x 32 mm |
| Von/Mit: | Halsey Royden (u. a.) |
| Erscheinungsdatum: | 14.08.2017 |
| Gewicht: | 0,816 kg |
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