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Lectures on Constructive Mathematical Analysis
B. A. Kushner
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Translations of Mathematical Monographs
1984; 346 pp; hardcover
Volume: 60
ISBN-10: 0-8218-4513-6
ISBN-13: 978-0-8218-4513-4
List Price: US$129
Member Price: US$103.20
Order Code: MMONO/60
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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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