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The Continuum

The Continuum

Rudolf Taschner

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Editorial:
Springer Nature B.V.
Año de edición:
2012
Materia
Cálculo y análisis matemático
ISBN:
9783322820389
54,64 €
IVA incluido
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Sobre IBD

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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