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The Continuum Real Analysis written by Rudolf Taschner
This is small text on 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.
Book Detail :-
Title: The Continuum (A Constructive Approach to Basic Concepts of Real Analysis)
Author(s): Rudolf Taschner
Publisher: Teubner Verlag
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About Author :-
Author Rudolf Taschner is an Australian mathematician. He is a professor of mathematics at the Technical University of Vienna, Austria.
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Book Contents :-
The Continuum Real Analysis written by Rudolf Taschner cover the following topics.
1. Introduction and historical remarks
2. Real numbers
3. Metric spaces
4. Continuous functions
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