Real Analysis (Classic Version) | Taschenbuch

Cover: 9780134689494 | Real Analysis (Classic Version) | Halsey Royden (u. a.) | Taschenbuch

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2017
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9780134689494
ISBN-10:	0134689496
Sprache:	Englisch
Autor:	Royden, Halsey Royden, Halsey L. Fitzpatrick, Patrick M.
Auflage:	4. Aufl.
Hersteller:	Pearson
Verantwortliche Person für die EU:	Pearson, St.-Martin-Str. 82, D-81541 München, salesde@pearson.com
Maße:	100 x 100 x 100 mm
Von/Mit:	Halsey Royden (u. a.)
Erscheinungsdatum:	14.08.2017
Gewicht:	0,1 kg