The Continuum: A Constructive Approach to Basic Concepts of Real Analysis - Brossura

Taschner, Rudolf

Brossura

ISBN 10: 3322820386 ISBN 13: 9783322820389

Casa editrice: Vieweg+Teubner Verlag, 2012

Riassunto

Das Continuum - der Inbegriff der Reellen Zahlen

Su questo libro

Informazioni sull'autore

Rudolf Taschner is Professor of Mathematics at the "Institute for Analysis and Scientific Computing", Technical University Vienna, Austria. In his recent book "Der Zahlen gigantische Schatten" (Vieweg 2004) he describes how intensively numbers penetrate the aspects of our life, and how far the "shadows of numbers" reach.

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Vieweg+Teubner Verlag
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 3322820386
• ISBN 13: 9783322820389
• Rilegatura: Copertina flessibile
• Numero di pagine: 152
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