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Look Inside The Theory of Sets of Points

The Theory of Sets of Points

£26.99

Part of Cambridge Library Collection - Mathematics

  • Date Published: July 2009
  • availability: Available
  • format: Paperback
  • isbn: 9781108005302

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  • The theory of sets, described in the preface to this book as 'Georg Cantor's magnificent theory' was first developed in the 1870s, and was recognised as one of the most important new branches of mathematical science. W. H. Young and his wife Grace Chisholm Young wrote this book, published in 1906, as a 'simple presentation'; but they warn that it is effectively a work in progress: the writing 'has necessarily involved attempts to extend the frontier of existing knowledge, and to fill in gaps which broke the connexion between isolated parts of the subject.' The Young's were a dynamic force in mathematical research: William had been Grace's tutor at Girton College; she was subsequently the first woman to be awarded a Ph. D by the University of Göttingen. Cantor himself said of the book: 'It is a pleasure for me to see with what diligence, skill and success you have worked.'

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    Product details

    • Date Published: July 2009
    • format: Paperback
    • isbn: 9781108005302
    • length: 336 pages
    • dimensions: 216 x 140 x 19 mm
    • weight: 0.43kg
    • availability: Available
  • Table of Contents

    Preface
    1. Rational and irrational numbers
    2. Representation of numbers on the straight line
    3. The descriptive theory of linear sets of points
    4. Potency, and the generalised idea of a cardinal number
    5. Content
    6. Order
    7. Cantor's numbers
    8. Preliminary notions of plane sets
    9. Regions and sets of regions
    10. Curves
    11. Potency of plane sets
    12. Plane content and area
    13. Length and linear content
    Appendix
    Bibliography
    Indexes.

  • Authors

    William Henry Young

    Grace Chisholm Young

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