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Lectures on Constructive Mathematical Analysis
 
Front Cover for 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.
List Price: $193.50
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AMS Member Price: $154.80
Front Cover for Lectures on Constructive Mathematical Analysis
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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.
List Price: $193.50
MAA Member Price: $174.15
AMS Member Price: $154.80
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 601984; 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.

  • Table of Contents
     
     
    • 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
  • Request Review Copy
  • Get Permissions
Volume: 601984; 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
Please select which format for which you are requesting permissions.