Lectures on constructive mathematical analysis

Author(s)

Bibliographic Information

Lectures on constructive mathematical analysis

by B.A. Kushner ; [translated from the Russian by E. Mendelson ; translation edited by Lev. J. Leifman]

（Translations of mathematical monographs, v. 60）

American Mathematical Society, c1984

Other Title

Лекции по конструктивному математическому анализу

Lekt︠s︡ii po konstruktivnomu matematicheskomu analizu

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Note

Translation of: Lekt︠s︡ii po konstruktivnomu matematicheskomu analizu

Originally published: Москва : "Наука", 1973

"Главная редакци Физико-математической литературы"--T.p. verso

Bibliography: p. 317-336

Includes indexes

Description and Table of Contents

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.

Table of Contents

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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