The Continuum

A Constructive Approach to Basic Concepts of Real Analysis

Authors: Taschner, Rudolf

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About this Textbook

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.

About the authors

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.

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-322-82036-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-3-8348-0040-4
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $59.95
price for USA
  • ISBN 978-3-322-82038-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Continuum
Book Subtitle
A Constructive Approach to Basic Concepts of Real Analysis
Authors
Copyright
2005
Publisher
Vieweg+Teubner Verlag
Copyright Holder
Friedr. Vieweg & Sohn Verlag/GWV Fachverlage GmbH, Wiesbaden
eBook ISBN
978-3-322-82036-5
DOI
10.1007/978-3-322-82036-5
Hardcover ISBN
978-3-8348-0040-4
Softcover ISBN
978-3-322-82038-9
Edition Number
1
Number of Pages
XI, 136
Number of Illustrations and Tables
8 b/w illustrations
Topics