Lectures on Constructive Mathematical Analysis
Book information
Description
The basis of this book was a special course given by the author at the Mechanics-Mathematics Faculty of Moscow University. The material presumes almost no previous knowledge and is completely understandable to a reader who is in command of a standard course of mathematical analysis. There are an extensive bibliography and indexes which will be helpful to students Content: Normal algorithms and enumerable sets Constructive real numbers Constructive convergence. Effective uncountability of the constructive continuum The impossibility of certain algorithms connected with constructive real numbers Constructive functions Differentiation of constructive functions Riemann integration of constructive functions Singular coverings and some of their applications Constructive metric spaces.
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