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· 제목 : A Course in Real Analysis (Hardcover, 2) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수리분석
· ISBN : 9780123877741
· 쪽수 : 688쪽
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수리분석
· ISBN : 9780123877741
· 쪽수 : 688쪽
목차
- Set Theory
- The Real Number System and Calculus
- Lebesgue Measure on the Real Line
- The Lebesgue Integral on the Real Line
- Elements of Measure Theory
- Extensions to Measures and Product Measure
- Elements of Probability
- Differentiation and Absolute Continuity
- Signed and Complex Measures
- Topologies, Metrics, and Norms
- Separability and Compactness
- Complete and Compact Spaces
- Hilbert Spaces and Banach Spaces
- Normed Spaces and Locally Convex Spaces
- Elements of Harmonic Analysis
- Measurable Dynamical Systems
- Hausdorff Measure and Fractals
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