Sets and integration An outline of the development

Sets and integration An outline of the development by D. van Dalen.

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. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1972.
Edition:1st ed. 1972.
Series:Springer eBook Collection.
Subjects:
Mathematical logic.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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