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The Continuum: A Constructive Approach to Basic Concepts of Real Analysis
 
Edited by: Rudolf Taschner Vienna University of Technology, Vienna, Austria
A publication of Vieweg+Teubner
The Continuum
Hardcover ISBN:  978-3-8348-0040-4
Product Code:  VW/13
List Price: $60.00
AMS Member Price: $54.00
Please note AMS points can not be used for this product
The Continuum
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The Continuum: A Constructive Approach to Basic Concepts of Real Analysis
Edited by: Rudolf Taschner Vienna University of Technology, Vienna, Austria
A publication of Vieweg+Teubner
Hardcover ISBN:  978-3-8348-0040-4
Product Code:  VW/13
List Price: $60.00
AMS Member Price: $54.00
Please note AMS points can not be used for this product
  • Book Details
     
     
    Vieweg Monographs
    Volume: 132005; 136 pp
    MSC: Primary 03; 26

    In this small text the basic theory of the continuum, including the elements of metric space theory and continuity, is developed within the system of intuitionistic mathematics in the sense of L.E.J. Brouwer and H. Weyl. The main features are proofs of the famous theorems of Browuer concerning the continuity of all functions that are defined on “ whole ” intervals, the uniform continuity of all functions that are defined on compact intervals and the uniform convergence of all pointwise converging sequences of functions defined on compact intervals. The constructive approach is interesting both in itself and as a contrast to, for example, the formal axiomatic one.

    A publication of Vieweg+Teubner. The AMS is exclusive distributor in North America. Vieweg+Teubner Publications are available worldwide from the AMS outside of Germany, Switzerland, Austria, and Japan.

    Readership

    Advanced undergraduate/graduate students and lecturers in Real Analysis.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 132005; 136 pp
MSC: Primary 03; 26

In this small text the basic theory of the continuum, including the elements of metric space theory and continuity, is developed within the system of intuitionistic mathematics in the sense of L.E.J. Brouwer and H. Weyl. The main features are proofs of the famous theorems of Browuer concerning the continuity of all functions that are defined on “ whole ” intervals, the uniform continuity of all functions that are defined on compact intervals and the uniform convergence of all pointwise converging sequences of functions defined on compact intervals. The constructive approach is interesting both in itself and as a contrast to, for example, the formal axiomatic one.

A publication of Vieweg+Teubner. The AMS is exclusive distributor in North America. Vieweg+Teubner Publications are available worldwide from the AMS outside of Germany, Switzerland, Austria, and Japan.

Readership

Advanced undergraduate/graduate students and lecturers in Real Analysis.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.