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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...
| Clasificación: | Libro Electrónico |
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| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Science Networks. Historical Studies,
49 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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?