Foundations of Modern Analysis

Foundations of Modern AnalysisMeasure 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. Reprint of the Holt, Rinehart and Winston, Inc., New York, 1970 edition. measure; integration; metric spaces; spaces;

Flanigan treats this most important field of contemporary mathematics in a most unusual way

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He constructs the universal covering surface of an arbitrary planar region and employs the modular function to develop the theorems of Landau

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