Analysis in the real and complex domain. Transl. from the 2nd English edition by Ivan Netuka and Jiří Veselý. (Analýza v reálnem a komplexním oboru.) (Czech) Zbl 0925.00003

Rudin, Walter

Praha: Academia, 463 p. (1977).

For the reviews of the first two editions (1966, 1974) see Zbl 0142.01701 and Zbl 0278.26001.
The third edition (1987) has been rewritten considerably, especially the chapter on differentiation.

MSC:

00A05	Mathematics in general
26-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions
30-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable
46-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis

Keywords:

abstract integration; Lebesgue integration; differentiation; Banach spaces; Hilbert spaces; Fourier transforms; holomorphic functions; Banach algebras; conformal mapping; Hausdorff’s maximality theorem; selected problems