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  • Cited by 7
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    • Publisher:
      Cambridge University Press
      Publication date:
      05 November 2015
      02 August 2012
      ISBN:
      9781139237314
      9781108050388
      DOI:
      https://doi.org/10.1017/CBO9781139237314
      Dimensions:
      Weight & Pages:
      Dimensions:
      (216 x 140 mm)
      Weight & Pages:
      0.12kg, 84 Pages
      • Subjects:
      Mathematics (general), Mathematics, History of Mathematical Texts, Algebra
      Series:
      Cambridge Library Collection - Mathematics
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, History of Mathematical Texts, Algebra
    Series:
    Cambridge Library Collection - Mathematics
    Information

    Book description

    The nineteenth century saw the paradoxes and obscurities of eighteenth-century calculus gradually replaced by the exact theorems and statements of rigorous analysis. It became clear that all analysis could be deduced from the properties of the real numbers. But what are the real numbers and why do they have the properties we claim they do? In this charming and influential book, Richard Dedekind (1831–1916), Professor at the Technische Hochschule in Braunschweig, showed how to resolve this problem starting from elementary ideas. His method of constructing the reals from the rationals (the Dedekind cut) remains central to this day and was generalised by Conway in his construction of the 'surreal numbers'. This reissue of Dedekind's 1888 classic is of the 'second, unaltered' 1893 edition.

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