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(Ebook) The Continuum. A constructive approach to basic concepts of real analysis by Rudolf Taschner ISBN 9783322820389, 3322820386

  • SKU: EBN-5250686
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Instant download (eBook) The Continuum. A constructive approach to basic concepts of real analysis after payment.
Authors:Rudolf Taschner
Pages:142 pages.
Year:2005
Editon:Reprint
Publisher:Vieweg+Teubner Verlag
Language:english
File Size:4.98 MB
Format:pdf
ISBNS:9783322820389, 3322820386
Categories: Ebooks

Product desciption

(Ebook) The Continuum. A constructive approach to basic concepts of real analysis by Rudolf Taschner ISBN 9783322820389, 3322820386

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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