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Redefining Geometrical Exactness: Descartes’ Transformation of the Early Modern Concept of Construction
Henk J. M. Bos
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Description for Redefining Geometrical Exactness: Descartes’ Transformation of the Early Modern Concept of Construction
paperback. Series: Sources and Studies in the History of Mathematics and Physical Sciences. Num Pages: 491 pages, 16 black & white tables, biography. BIC Classification: PBM. Category: (P) Professional & Vocational. Dimension: 256 x 179 x 32. Weight in Grams: 918.
In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death ... Read more
In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer United States
Number of pages
491
Condition
New
Series
Sources and Studies in the History of Mathematics and Physical Sciences
Number of Pages
472
Place of Publication
New York, NY, United States
ISBN
9781461265214
SKU
V9781461265214
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Redefining Geometrical Exactness: Descartes’ Transformation of the Early Modern Concept of Construction
"This is a brilliant book and the most satisfactory account of Descartes' mathematical career that I have come across. Although the author does not claim to provide an exhaustive study of Descartes' geometry, he illuminates it in an original way by focusing on the conception and practice of construction. The book covers essentially the period from 1588, when Commandino's Latin ... Read more