Real analysis

By: Carothers, N.LMaterial type: TextTextPublication details: Cambridge : University Press, 2000Description: xiii, 401pages: IllustratiosISBN: 9780521497565; 0521497566DDC classification: 515
Contents:
Preface; Part I. Metric Spaces: 1. Calculus review; 2. Countable and uncountable sets; 3. Metrics and norms; 4. Open sets and closed sets; 5. Continuity; 6. Connected sets; 7. Completeness; 8. Compactness; 9. Category; Part II. Function Spaces: 10. Sequences of functions; 11. The space of continuous functions; 12. The Stone-Weierstrass theorem; 13. Functions of bounded variation; 14. The Riemann-Stieltjes integral; 15. Fourier series; Part III. Lebesgue Measure and Integration: 16. Lebesgue measure; 17. Measurable functions; 18. The Lebesgue integral; 19. Additional topics; 20. Differentiation; References; Index.
Summary: A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.
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Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
Reference Books Reference Books Main Library
Reference 		REF 515 CAR (Browse shelf(Opens below)) Available 009798
Total holds: 0

Includes Index

Preface; Part I. Metric Spaces: 1. Calculus review; 2. Countable and uncountable sets; 3. Metrics and norms; 4. Open sets and closed sets; 5. Continuity; 6. Connected sets; 7. Completeness; 8. Compactness; 9. Category; Part II. Function Spaces: 10. Sequences of functions; 11. The space of continuous functions; 12. The Stone-Weierstrass theorem; 13. Functions of bounded variation; 14. The Riemann-Stieltjes integral; 15. Fourier series; Part III. Lebesgue Measure and Integration: 16. Lebesgue measure; 17. Measurable functions; 18. The Lebesgue integral; 19. Additional topics; 20. Differentiation; References; Index.


A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.

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