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Foundations of Modern Analysis

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Measure and integration, metric spaces, the elements of functional analysis in Banach spaces, and spectral theory in Hilbert spaces — all in a single study. Only book of its kind. Unusual topics, detailed analyses. Problems. Excellent for first-year graduate students, almost any course on modern analysis. Preface. Bibliography. Index.

Author(s): Avner Friedman
Publisher: Holt,Rinehart & Winston
Year: 1970

Language: English
Pages: 258

Chapter 1. MEASURE THEORY, 1
Chapter 2. INTEGRATION, 29
Chapter 3. METRIC SPACES, 90
Chapter 4. ELEMENTS OF FUNCTIONAL ANALYSIS IN BANACH SPACES, 123
Chapter 5. COMPLETELY CONTINUOUS OPERATORS, 186
Chapter 6. HILBERT SPACES AND SPECTRAL THEORY, 201