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Lectures on Constructive Mathematical Analysis
About this Title
B. A. Kushner. Translated by Elliott Mendelson
Publication: Translations of Mathematical Monographs
Publication Year:
1984; Volume 60
ISBNs: 978-0-8218-4513-4 (print); 978-1-4704-4474-7 (online)
DOI: https://doi.org/10.1090/mmono/060
MathSciNet review: MR773852
MSC: Primary 03F65; Secondary 03-02
Table of Contents
Front/Back Matter
Chapters
- Introduction
- 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