It is often argued that the history of nineteenth-century mathematics is that of the replacement of geometry by algebra and analysis. Synthetic or coordinatefree geometric reasoning which had produced some of the greatest achievements of mankind — Euclid’s Elements and Newton’s Philosophiæ Naturalis Principia Mathematica (the Principia) to name but two — was finally shifted from its long-standing central position in mathematics to a marginal one.


Nonstandard Analysis Geometry Theory Ofscientific History Nonstandard Approach Nonstandard Treatment 
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Copyright information

© Springer-Verlag London 2001

Authors and Affiliations

  • Jacques Fleuriot
    • 1
  1. 1.Division of InformaticsUniversity of EdinburghEdinburghUK

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