Friedman A. Foundations of Modern Analysis

Dover Publications, 1982. — 251 p. — Series: Dover Books on MathematicsMeasure 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.