The Continuum
A Constructive Approach to Basic Concepts of Real Analysis
by Rudolf Taschner
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 Brouwer 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.
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Mathematics, Global analysis (Mathematics), Analysis| Edition | Availability |
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1
Continuum: A Constructive Approach to Basic Concepts of Real Analysis
2012, Springer Vieweg. in Springer Fachmedien Wiesbaden GmbH
in English
3322820386 9783322820389
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The Continuum: A Constructive Approach to Basic Concepts of Real Analysis
2005, Vieweg+Teubner Verlag
electronic resource :
in English
332282036X 9783322820365
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- Created June 29, 2019
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| December 8, 2022 | Edited by MARC Bot | import existing book |
| February 26, 2022 | Edited by ImportBot | import existing book |
| June 29, 2019 | Created by MARC Bot | Imported from Internet Archive item record |