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

Details

Erscheinungsjahr:	2024
Fachbereich:	Grundlagen
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	528 S.
ISBN-13:	9780134689494
ISBN-10:	0134689496
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Royden, Halsey Royden, Halsey L. Fitzpatrick, Patrick M.
Auflage:	4. Auflage
Hersteller:	Pearson Pearson Education Limited FT Publishing International
Verantwortliche Person für die EU:	Pearson Studium im Verlag Pearson Benelux B.V. Zweigniederla, Sankt-Martin-Str. 82, D-81541 München, buchhandel@pearson.com
Maße:	235 x 178 x 28 mm
Von/Mit:	Halsey Royden (u. a.)
Erscheinungsdatum:	29.06.2024
Gewicht:	0,895 kg