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Books > Science & Mathematics > Mathematics > History of mathematics
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Seventeenth-Century Indivisibles Revisited (Hardcover, 2015 ed.)
Loot Price: R3,852
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Seventeenth-Century Indivisibles Revisited (Hardcover, 2015 ed.)
Series: Science Networks. Historical Studies, 49
Expected to ship within 12 - 19 working days
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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,
Lalouvere, Guldin, Barrow, Mengoli, Wallis, Leibniz, Newton.
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