The Continuum - A Constructive Approach to Basic Concepts of Real Analysis (Paperback, Softcover reprint of the original 1st ed. 2005)

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.

General

Imprint:	Vieweg+teubner Verlag
Country of origin:	Germany
Release date:	February 2012
First published:	2005
Authors:	Rudolf Taschner
Dimensions:	240 x 170 x 8mm (L x W x T)
Format:	Paperback
Pages:	147
Edition:	Softcover reprint of the original 1st ed. 2005
ISBN-13:	978-3-322-82038-9
Subtitles:	German
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	3-322-82038-6
Barcode:	9783322820389

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