For beginning graduate-level courses in Real Analysis, Measure Theory, Lebesque Integration, and Functional Analysis.
An important new graduate text that motivates the reader by providing the historical evolution of modern analysis. Sensitive to the needs of students with varied backgrounds and objectives, this text presents the tools, methods and history of analysis. The text includes the topics that "every graduate student must know" as well as specialized topics that prepare students for further study in analysis. User-friendly in approach, it includes numerous examples and exercises to illustrate and motivate the concepts.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Maße
Höhe: 236 mm
Breite: 158 mm
Dicke: 30 mm
Gewicht
ISBN-13
978-0-13-458886-5 (9780134588865)
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Schweitzer Klassifikation
1. Background and Preview.
2. Measure Spaces.
3. Metric Outer Measures.
4. Measurable Functions.
5. Integration.
6. Fubini's Theorem.
7. Differentiation.
8. Differentiation of Measures.
9. Metric Spaces.
10. Baire Category.
11. Analytic Sets.
12. Banach Spaces.
13. The Lp Spaces
14. Hilbert Spaces.
15. Fourier Series.
Index.
