Advertisement

Abstract

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.

Keywords

Nonstandard Analysis Geometry Theory Ofscientific History Nonstandard Approach Nonstandard Treatment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag London 2001

Authors and Affiliations

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

Personalised recommendations