The History of Mathematics by Cooke Roger L

Author:Cooke, Roger L.
Language: eng
Format: epub
Publisher: Wiley
Published: 2012-10-30T16:00:00+00:00

Chapter 27

Islamic Geometry

In the Western world, most of the progress in geometry during the millennium that passed between the fall of the Western Roman Empire and the fall of the Eastern Empire occurred among the Muslim and Jewish mathematicians of Baghdad, Samarkand, Cordoba, and other places. This work had some features of Euclid's style and some of Heron's. Matvievskaya (1999) has studied the extensive commentaries on the tenth book of Euclid's Elements written by Muslim scholars from the ninth through twelfth centuries and concluded that while formally preserving a Euclidean distinction between magnitude and number, they actually operated with quadratic and quartic irrationals as if they were numbers.

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