• DOI:10.1007/s10699-011-9235-x
Corpus ID: 119320059

Who Gave You the Cauchy–Weierstrass Tale? The Dual History of Rigorous Calculus

@article{Borovik2012WhoGY,
  title={Who Gave You the Cauchy–Weierstrass Tale? The Dual History of Rigorous Calculus},
  author={A. Borovik and M. Katz},
  journal={Foundations of Science},
  year={2012},
  volume={17},
  pages={245-276}
}

• A. Borovik, M. Katz
• Published 2012
• Philosophy, Mathematics
• Foundations of Science

Cauchy’s contribution to the foundations of analysis is often viewed through the lens of developments that occurred some decades later, namely the formalisation of analysis on the basis of the epsilon-delta doctrine in the context of an Archimedean continuum. What does one see if one refrains from viewing Cauchy as if he had read Weierstrass already? One sees, with Felix Klein, a parallel thread for the development of analysis, in the context of an infinitesimal-enriched continuum. One sees… Expand

View on Springer

arxiv.org

Save to Library

Create Alert

Cite

Launch Research Feed