Real Analysis / H.L.Royden.

By:

Royden, H.L

Contributor(s):

Fitzpatrick, P.M

Material type: Text

TextLanguage: English Publication details: India : Pearson India Education Services Pvt Ltd, 2022.Edition: 4th edDescription: xii, 505 p. : ill. ; 24 cmISBN:

9789332551589

Uniform titles:

Real Analysis

Subject(s):

DDC classification:

23 515 ROY

Contents:

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

Summary: 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.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Text Books	CUTN Central Library Sciences	Non-fiction	515 ROY (Browse shelf(Opens below))	Checked out to RATHLA SANTHOSH KUMAR RATHLA HARICHAND (I190218)	21/05/2024	48140

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.

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