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Lectures on Constructive Mathematical Analysis

Available Formats:
Hardcover ISBN: 978-0-8218-4513-4
Product Code: MMONO/60
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Electronic ISBN: 978-1-4704-4474-7
Product Code: MMONO/60.E
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.

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Lectures on Constructive Mathematical Analysis
Available Formats:
Hardcover ISBN: | 978-0-8218-4513-4 |
Product Code: | MMONO/60 |
List Price: | $129.00 |
MAA Member Price: | $116.10 |
AMS Member Price: | $103.20 |
Electronic ISBN: | 978-1-4704-4474-7 |
Product Code: | MMONO/60.E |
List Price: | $129.00 |
MAA Member Price: | $116.10 |
AMS Member Price: | $103.20 |
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
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Book DetailsTranslations of Mathematical MonographsVolume: 60; 1984; 346 ppMSC: Primary 03;
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.
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Table of Contents
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Chapters
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Introduction
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Normal algorithms and enumerable sets
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Constructive real numbers
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Constructive convergence. Effective uncountability of the constructive continuum
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The impossibility of certain algorithms connected with constructive real numbers
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Constructive functions
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Differentiation of constructive functions
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Riemann integration of constructive functions
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Singular coverings and some of their applications
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Constructive metric spaces
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Volume: 60; 1984; 346 pp
MSC: Primary 03;
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.
-
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
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