Descartes’s Mathematical Thought

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Springer Science & Business Media, 9 mars 2013 - 496 pages
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Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.
 

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Table des matières

DESCARTES AND JESUIT MATHEMATICAL
13
THE MATHEMATICAL THOUGHT OF CHRISTOPH
45
THE FIRST ATTEMPTAT REFORMING MATHEMATICS
95
THE MATHEMATICAL BACKGROUND OF
159
THE GEOMETRIE OF 1637
205
INTERIM CONSIDERATION
281
UNIVERSAL MATHEMATICS IN ARISTOTLE
289
MATHESIS UNIVERSALIS IN THE SIXTEENTH
333
MATHESIS UNIVERSALIS IN THE SEVENTEENTH
359
CONCLUSION
419
BIBLIOGRAPHY
439
INDICES
468
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