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612-822-4611
Redefining Geometrical Exactness: Descartes' Transformation of the Early Modern Concept of Construction

Redefining Geometrical Exactness: Descartes' Transformation of the Early Modern Concept of Construction

Paperback

Series: Sources and Studies in the History of Mathematics and Physic

Geometry

ISBN10: 1461265215
ISBN13: 9781461265214
Publisher: Springer Nature
Published: Oct 21 2012
Pages: 472
Weight: 1.88
Height: 1.00 Width: 7.00 Depth: 10.00
Language: English
Until the 17th century, rigor and exactness in mathematics meant geometry and Euclid. Other means of confirming results, such as computation, were considered inferior to the traditional constructions using ruler and compass. In 1637 Descartes introduced what is now called analytical geometry, which made algebraic methods equal to geometry in the methods of mathematics. In this detailed study, Bos explores the origins of what is meant by rigor in mathematics, and how that definition evolved to include the use of new geometric and algebraic methods.

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Geometry