Translations of Mathematical Monographs 1984; 346 pp; hardcover Volume: 60 ISBN10: 0821845136 ISBN13: 9780821845134 List Price: US$129 Member Price: US$103.20 Order Code: MMONO/60
 The basis of this book was a special course given by the author at the MechanicsMathematics 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
