Real Analysis /
Royden, H.L.
Real Analysis / H.L.Royden. - 4th ed. - India : Pearson India Education Services Pvt Ltd, 2022. - xii, 505 p. : ill. ; 24 cm.
1. The Real Numbers: Sets, Sequences, and Function.
2. Lebesgue Measure
3. Lebesgue Measurable Function
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
10. Metric Spaces: General Properties
11. Metric Spaces: Three Fundamental Theorem
12. Topological Spaces: General Properties
13. Topological Spaces: Three Fundamental Theorem
14. Duality for Normed Linear Spaces
15. Compactness Regained: The weak Topologyt
16. Continuous Linear Operators on Hilbert Spaces
17. General Measure Spaces: Their Properties and Construction
18. Integration Over General Spaces
19. General Lᴾ Spaces: Completeness Duality, and Weak Convergence
20. The Construction of Particular Measures
21. Measure and Topology
22. Invariant Measures
Biblography
Index
Real Analysis, Fourth Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis. Patrick Fitzpatrick of the University of Maryland-College Park spearheaded this revision of Halsey Roydens classic text.
9789332551589
Lebesgue
general topology
integration theory
Invariant Measures
Lᴾ Spaces
515 / ROY
Real Analysis / H.L.Royden. - 4th ed. - India : Pearson India Education Services Pvt Ltd, 2022. - xii, 505 p. : ill. ; 24 cm.
1. The Real Numbers: Sets, Sequences, and Function.
2. Lebesgue Measure
3. Lebesgue Measurable Function
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
10. Metric Spaces: General Properties
11. Metric Spaces: Three Fundamental Theorem
12. Topological Spaces: General Properties
13. Topological Spaces: Three Fundamental Theorem
14. Duality for Normed Linear Spaces
15. Compactness Regained: The weak Topologyt
16. Continuous Linear Operators on Hilbert Spaces
17. General Measure Spaces: Their Properties and Construction
18. Integration Over General Spaces
19. General Lᴾ Spaces: Completeness Duality, and Weak Convergence
20. The Construction of Particular Measures
21. Measure and Topology
22. Invariant Measures
Biblography
Index
Real Analysis, Fourth Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis. Patrick Fitzpatrick of the University of Maryland-College Park spearheaded this revision of Halsey Roydens classic text.
9789332551589
Lebesgue
general topology
integration theory
Invariant Measures
Lᴾ Spaces
515 / ROY