Seventeenth-Century Indivisibles Revisited

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Jullien, Vincent (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Σειρά:Science Networks. Historical Studies, 49
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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?