N. L. Carothers (Ohio Bowling Green State University)

Real Analysis

• Broschiertes Buch

Produktbeschreibung

This is a course in real analysis directed at advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real analysis or advanced calculus, the book offers something to specialists and non-specialists alike, including historical commentary, carefully chosen references, and plenty of exercises.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 416
• Erscheinungstermin: 31. März 2006
• Englisch
• Abmessung: 254mm x 178mm x 23mm
• Gewicht: 778g
• ISBN-13: 9780521497565
• ISBN-10: 0521497566
• Artikelnr.: 22414581

Inhaltsangabe

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.