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

Taschner, Rudolf

 
9783322820389: The Continuum: A Constructive Approach to Basic Concepts of Real Analysis
Tapa blanda
ISBN 10: 3322820386 ISBN 13: 9783322820389
Editorial: Vieweg+Teubner Verlag, 2012

Sinopsis

Das Buch ist gut geeignet als Textgrundlage für Seminare aus reeller Analysis (vorzugsweise für Seminare, nachdem die Studierenden den üblichen formal-axiomatischen Zugang zu den reellen Zahlen erfahren haben).

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del 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.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Vieweg+Teubner Verlag
Año de publicación
2012
Idioma
Inglés
ISBN 10 
3322820386
ISBN 13 
9783322820389
Encuadernación
Tapa blanda
Número de páginas
152
Contacto del fabricante
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Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9783834800404: The Continuum: A Constructive Approach to some Basic Concepts of Real Analysis

Edición Destacada

ISBN 10:  3834800406 ISBN 13:  9783834800404
Editorial: Vieweg+Teubner Verlag, 2005
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