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...

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Tác giả chính:	Jullien, Vincent
Định dạng:	Sách
Ngôn ngữ:	English
Được phát hành:	Springer 2015
Những chủ đề:	Geometry Infinitesimal Geometry > Early works to 1800 Differential
Truy cập trực tuyến:	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57459
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spelling	oai:scholar.dlu.edu.vn:DLU123456789-574592023-11-11T05:45:46Z Seventeenth-Century Indivisibles Revisited Jullien, Vincent Geometry Infinitesimal Geometry -- Early works to 1800 Differential 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. 2015-08-14T04:01:13Z 2015-08-14T04:01:13Z 2015 Book 978-3-319-00131-9 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57459 en application/pdf Springer
institution	Thư viện Trường Đại học Đà Lạt
collection	Thư viện số
language	English
topic	Geometry Infinitesimal Geometry -- Early works to 1800 Differential
spellingShingle	Geometry Infinitesimal Geometry -- Early works to 1800 Differential Jullien, Vincent Seventeenth-Century Indivisibles Revisited
description	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.
format	Book
author	Jullien, Vincent
author_facet	Jullien, Vincent
author_sort	Jullien, Vincent
title	Seventeenth-Century Indivisibles Revisited
title_short	Seventeenth-Century Indivisibles Revisited
title_full	Seventeenth-Century Indivisibles Revisited
title_fullStr	Seventeenth-Century Indivisibles Revisited
title_full_unstemmed	Seventeenth-Century Indivisibles Revisited
title_sort	seventeenth-century indivisibles revisited
publisher	Springer
publishDate	2015
url	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57459
_version_	1819797484238536704

Seventeenth-Century Indivisibles Revisited

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