An introduction to the theory of real functions. Transl. from the Polish by G. H. Lawden, ed. by A. V. Ferreira. (English) Zbl 0653.26001

Wiley-Interscience Publication. Chichester (UK) etc.: Wiley. ix, 230 p. £24.95 (1988).
The English edition differs from the Polish original (2nd ed. 1976; Zbl 0417.26003) only little. The footnotes in this edition are given as notes after the chapter. The additional material includes: some remarks on the extension of finitely additive functions to a measure (Ch. 5,§ 2), Banach-Vitali theorem (Ch. 6,§ 1) and Stepanov theorem (Ch. 7,§ 1) with proofs, a construction of a continuous nowhere differentiable function of a certain type (Ch. 7,§ 4) and 43 new exercises.
Reviewer: L.Mišík


26-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions


Zbl 0417.26003