Real Analysis (Classic Version)

Halsey Royden, Patrick Fitzpatrick (Autoren)

Buch | Softcover

528 Seiten

2017 | 4th edition
Pearson (Verlag)
978-0-13-468949-4 (ISBN)

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Real Analysis, 4th 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. It 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 Royden's classic text.

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price.

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 Ρ Spaces: Completeness and Approximation
8. The L Ρ 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 Ρ Spaces: Completeness, Duality and Weak Convergence
20. The Construction of Particular Measures
21. Measure and Topology
22. Invariant Measures

Erscheinungsdatum	11.03.2017
Reihe/Serie	Pearson Modern Classics for Advanced Mathematics Series
Sprache	englisch
Maße	230 x 28 mm
Gewicht	1500 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Wirtschaft ► Volkswirtschaftslehre ► Ökonometrie
ISBN-10	0-13-468949-6 / 0134689496
ISBN-13	978-0-13-468949-4 / 9780134689494
Zustand	Neuware