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portada the continuum: a constructive approach to basic concepts of real analysis
Type
Physical Book
Author
Publisher
Year
2012
Language
English
Pages
136
Format
Paperback
Dimensions
24.4x17x0.8 cm
Weight
0.25 kg.
ISBN
3322820386
ISBN13
9783322820389
Categories

the continuum: a constructive approach to basic concepts of real analysis

Rudolf Taschner (Author) · Vieweg+teubner Verlag · Paperback

the continuum: a constructive approach to basic concepts of real analysis - Taschner, Rudolf

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Synopsis "the continuum: a constructive approach to basic concepts of real analysis"

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.

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