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The theory of functions of a real variable and the theory of Fourier’s series. Vol. I, II. Unabridged and unaltered republication of the last revision (1926/27). (English) Zbl 0081.27702
New York: Dover Publications, Inc. xv, 736; x, 778 p. 2 Vols. (1958).
Summary: This is a photographic reprint of the original edition of 1927 (Vol. 1) and 1926 (Vol. 2), reviewed in JFM 52.0237.02. The exposition is rigorous and heuristic, and many detailed examples [117 examples (Vol. 1) and 88 examples (Vol. 2)] are very useful. Not having regard to the important contributions made after 1927, the reviewer is not able to say that this work is adequate to a textbook of modern real analysis. It is surely a fundamental and standard reference work.
Reviewer: G. Sunouchi

MSC:
26-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions
28-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to measure and integration
42-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces