Sets and integration An outline of the development

The present text resulted from lectures given by the authors at the Rijks Universiteit at Utrecht. These lectures were part of a series on 'History of Contemporary Mathematics'. The need for such an enterprise was generally felt, since the curriculum at many universities is designed to sui...

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Bibliographic Details
Main Author: van Dalen, D.
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1972, 1972
Edition:1st ed. 1972
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Set theory from Cantor to Cohen
  • Forebodings
  • The exploration of the new continent
  • The paradoxes
  • The axiom of choice
  • Zermelo takes over
  • Making inconsistent sets respectable
  • The consistency of the axiom of choice and the continuum hypothesis
  • The independence of the continuum hypothesis
  • Large cardinals
  • Games and strategies
  • The integral from Riemann to Bourbaki
  • Introduction; the period before Riemann
  • Riemann, Lebesgue, real functions
  • Modern theory of the integral
  • List of Mathematicians