ENGLISH

The Continuum. A constructive approach to basic concepts of real analysis

By Rudolf Taschner

Book information

Publisher
Vieweg+Teubner Verlag
Year
2005
ISBN
3322820386, 9783322820389, 978-3-322-82036-5
Language
english
Format
PDF
Filesize
5 MB (5218657 bytes)
Edition
Reprint
Pages
142\142
Library
kolxoz
Time added
2015-12-12 14:00:00

Description

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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