Seventeenth-century indivisibles revisited /

Seventeenth-century indivisibles revisited / Vincent Jullien, editor.

The tremendous success of indivisibles methods in geometry in the seventeenth century, responds to a vast project: installation of infinity in mathematics. The pathways by the authors are very diverse, as are the characterizations of indivisibles, but there are significant factors of unity between t...

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Bibliographic Details
Online Access: Full Text (via Springer)
Other Authors: Jullien, Vincent (Editor)
Format: eBook
Language:English
Published: Cham : Birkhäuser, [2015]
Series:Science networks historical studies ; v. 49.
Subjects:
Geometry, Infinitesimal.
Geometry > Early works to 1800.
Geometry.
Early works.
Table of Contents:
  • Introduction
  • 1 From Aristotle to the Classical Age : the Debate around Indivibilism
  • 2 Cavalieri's Indivisibles
  • 3 Kepler, Cavalieri, Guldin
  • 4 Indivisibles in the Work of Galileo
  • 5 Torricelli's indivisibles
  • 6 The method of indivisibles that Gregory of Saint Vincent could have used for his own quadrature of Hyperbola
  • 7 Descartes and the use of indivisibles
  • 8 Roberval?s indivisibles
  • 9 Pascal's indivisibles
  • 10 Two jesuits against indivibles, Lalouvère and Tacquet
  • 11 Isaac Barrow?s indivisibles
  • 12 The role of indivisibles in Mengoli ́s quadratures
  • 13 Wallis on indivisibles
  • 14 Leibniz's rigorous foundations of the method of indivisibles
  • 15 Newton on indivisibles.-16 An epistemological route in the historiography on indivisibles
  • 17 Archimedes and indivisibles
  • 18 Indivisibles and Latitude of Forms
  • 19 How to explain the use of the term indivisibles as late as 1700 for the discovery of multiple rainbows?

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