The Continuum: A Constructive Approach to Basic Concepts of Real Analysis
Prof. Dr. Rudolf Taschner (auth.)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.
Categories:
Year:
2005
Edition:
1
Publisher:
Vieweg+Teubner Verlag
Language:
english
Pages:
136
ISBN 10:
3322820386
ISBN 13:
9783322820389
File:
PDF, 5.79 MB
IPFS:
,
english, 2005
This book isn't available for download due to the complaint of the copyright holder