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Real analysis

By: Royden, H.LContributor(s): Fitzpatrick, P.MMaterial type: Text

TextLanguage: ENG Publication details: New Delhi: Pearson, 2017Edition: 4th edDescription: xii, 497p.; PAPER BACK 23 cmISBN: 9789332551589Subject(s): MathemeticsDDC classification: 517.52

Contents:

Contents: 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.

Summary: Real Analysis

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Holdings
Item type	Current library	Home library	Collection	Call number	Copy number	Status	Notes	Barcode
Books	ADBU Azara Campus Library Reference	ADBU Azara Campus Library Reference	Reference	517.52 ROY (Browse shelf(Opens below))	1	Not For Loan	Placed in Azara Campus Library Reference Section	16580
Books	ADBU Azara Campus Library Mathematics	ADBU Azara Campus Library Mathematics	Non-fiction	517.52 ROY (Browse shelf(Opens below))	2	Available	Placed in Azara Campus Library	16581
Books	ADBU Azara Campus Library Mathematics	ADBU Azara Campus Library Mathematics	Non-fiction	517.52 ROY (Browse shelf(Opens below))	3	Available	Placed in Azara Campus Library	16582
Books	ADBU Azara Campus Library Mathematics	ADBU Azara Campus Library Mathematics	Non-fiction	517.52 ROY (Browse shelf(Opens below))	4	Available	Placed in Azara Campus Library	16583
Books	ADBU Azara Campus Library Mathematics	ADBU Azara Campus Library Mathematics	Non-fiction	517.52 ROY (Browse shelf(Opens below))	5	Available	Placed in Azara Campus Library	16584
Reference	ADBU Tapesia Campus Library Reference	ADBU Tapesia Campus Library Reference	Reference	517.52 ROY (Browse shelf(Opens below))	6	Not For Loan	Placed in Tapesia Library - Mathematics	U5782
Books	ADBU Tapesia Campus Library Mathematics	ADBU Tapesia Campus Library Mathematics	Non-fiction	517.52 ROY (Browse shelf(Opens below))	7	Available	Placed in Tapesia Library - Mathematics	U5783
Books	ADBU Tapesia Campus Library Mathematics	ADBU Tapesia Campus Library Mathematics	Non-fiction	517.52 ROY (Browse shelf(Opens below))	8	Available	Placed in Tapesia Library - Mathematics	U5784
Books	ADBU Tapesia Campus Library Mathematics	ADBU Tapesia Campus Library Mathematics	Non-fiction	517.52 ROY (Browse shelf(Opens below))	9	Available	Placed in Tapesia Library - Mathematics	U5785
Books [Kharghuli Campus]	ADBU Tapesia Campus Library Mathematics	ADBU Tapesia Campus Library Mathematics	Non-fiction	517.52 ROY (Browse shelf(Opens below))	10	Available	Placed in Tapesia Library - Mathematics	U5786

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Mathematics

Contents:
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.

Real Analysis

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