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

Taschner, Rudolf

Softcover

ISBN 10: 3322820386 ISBN 13: 9783322820389

Verlag: Vieweg+Teubner Verlag, 2012

Inhaltsangabe

Das Continuum - der Inbegriff der Reellen Zahlen

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Über die Autorin bzw. den Autor

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.

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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.

Details zur Ausgabe

• Verlag: Vieweg+Teubner Verlag
• Erscheinungsdatum: 2012
• Sprache: Englisch
• ISBN 10: 3322820386
• ISBN 13: 9783322820389
• Einband: Taschenbuch
• Anzahl der Seiten: 152
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland