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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 |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2015.
|
| Edición: | 1st ed. 2015. |
| Colección: | Science Networks. Historical Studies,
49 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-00131-9 | ||
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| 020 | |a 9783319001319 |9 978-3-319-00131-9 | ||
| 024 | 7 | |a 10.1007/978-3-319-00131-9 |2 doi | |
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| 245 | 1 | 0 | |a Seventeenth-Century Indivisibles Revisited |h [electronic resource] / |c edited by Vincent Jullien. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Birkhäuser, |c 2015. | |
| 300 | |a VI, 499 p. 231 illus., 70 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Science Networks. Historical Studies, |x 2296-6080 ; |v 49 | |
| 505 | 0 | |a 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? | |
| 520 | |a 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 the various doctrines of indivisible; the permanence of the language used by all authors is the strongest sign. These efforts do not lead to the stabilization of a mathematical theory (with principles or axioms, theorems respecting these first statements, followed by applications to a set of geometric situations), one must nevertheless admire the magnitude of the results obtained by these methods and highlights the rich relationships between them and integral calculus. The present book aims to be exhaustive since it analyzes the works of all major inventors of methods of indivisibles during the seventeenth century, from Kepler to Leibniz. It takes into account the rich existing literature usually devoted to a single author. This book results from the joint work of a team of specialists able to browse through this entire important episode in the history of mathematics and to comment it. The list of authors involved in indivisibles´ field is probably sufficient to realize the richness of this attempt; one meets Kepler, Cavalieri, Galileo, Torricelli, Gregoire de Saint Vincent, Descartes, Roberval, Pascal, Tacquet, Lalouvère, Guldin, Barrow, Mengoli, Wallis, Leibniz, Newton. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a History. | |
| 650 | 1 | 4 | |a History of Mathematical Sciences. |
| 700 | 1 | |a Jullien, Vincent. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319001326 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319001302 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319374956 |
| 830 | 0 | |a Science Networks. Historical Studies, |x 2296-6080 ; |v 49 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-00131-9 |z Texto Completo |
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| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||