Pearson Modern Classics for Advanced Mathematics Ser.: Real Analysis (Classic Version) by Halsey Royden and Patrick Fitzpatrick (2017, Trade Paperback)
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About this product
Product Identifiers
PublisherPearson Education
ISBN-100134689496
ISBN-139780134689494
eBay Product ID (ePID)234263629
Product Key Features
Number of Pages528 Pages
Publication NameReal Analysis (Classic Version)
LanguageEnglish
Publication Year2017
SubjectFunctional Analysis, General, Algebra / General
TypeTextbook
AuthorHalsey Royden, Patrick Fitzpatrick
Subject AreaMathematics
SeriesPearson Modern Classics for Advanced Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Height1 in
Item Weight29.3 Oz
Item Length9.2 in
Item Width7 in
Additional Product Features
Edition Number4
Intended AudienceCollege Audience
LCCN2016-055244
Dewey Edition23
IllustratedYes
Dewey Decimal515/.8
Table Of ContentPART 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
SynopsisThis text is designed for graduate-level courses in real analysis. 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. 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., 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., This text is designed for graduate-level courses in real analysis. This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics for a complete list of titles. 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. 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 Royden's classic text.