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Sets and integration An outline of the development

  • Authors
  • D. van Dalen
  • A. F. Monna

Table of contents

  1. Front Matter
    Pages I-VIII
  2. D. Van Dalen
    Pages 1-74
  3. Henri Lebesgue
    Pages 75-154
  4. Back Matter
    Pages 155-162

About this book

Introduction

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 suit an efficient treatment of advanced subjects rather than to reflect the development of notions and techniques. As it is very likely that this trend will continue, we decided to offer lectures of a less technical nature to provide students and interested listeners with a survey of the history of topics in our present-day mathematics. We consider it very useful for a mathematician to have an acquaintance with the history of the development of his subject, especially in the nineteenth century where the germs of many of modern disciplines can be found. Our attention has therefore been mainly directed to relatively young developments. In the lectures we tried to stay clear of both oversimplification and extreme technicality. The result is a text, that should not cause difficulties to a reader with a working knowledge of mathematics. The developments sketched in this book are fundamental for many areas in mathematics and the notions considered are crucial almost everywhere. The book may be most useful, in particular, for those teaching mathematics.

Keywords

Cantor axiom of choice cardinals function mathematics set theory

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-2718-2
  • Copyright Information Springer Science+Business Media B.V. 1972
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-2720-5
  • Online ISBN 978-94-010-2718-2
  • Buy this book on publisher's site
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