Classical Mathematics from Al-Khwarizmi to Descartes
Routledge – 2015 – 400 pages
This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat.
Introduction Part I: Algebra and Arithmetic 1 Algebra and its unifying role 2 Algebra and Linguistics 3 The First Classification of Curves 4 Descartes Geometry and the distinction between geometrical and mechanical curves 5 The Ovals of Descartes 6 Descartes and the Infinitely Small 7 Fermat and Algebraic Geometry 8 Euclidean Arithmetic 9 Algorithmic Methods 10 Ibn Qurra and Amicable Numbers 11 Fibonacci and Arabic Mathematics 12 Fibonacci and the Latin Extension of Arabic Mathematics 13 Al-Yazdi 14 Fermat and the Origins of Modern Diophantine Analysis Part II: Geometry 15 The Archemedians and the Problems of Infinity 16 Conics and traditions of the early research projections 17 The Continuous Drawing of Conic Curves and the Classification of Curves 18 The Fifth Postulate of Euclid Part III: The Application of Mathematics – Astronomy and Optics 19 The Celestial Cinematics of Ibn Al-Haytham 20 Mirrors
Roshdi Rashed is one of the most eminent authorities on Arabic mathematics and the exact sciences. A historian and philosopher of mathematics and science and a highly celebrated epistemologist, he is currently Emeritus Research Director (distinguished class) at the Centre National de la Recherche Scientifique (CNRS) in Paris, and is the Director of the Centre for History of Medieval Science and Philosophy at the University of Paris (Denis Diderot, Paris VII). He also holds an Honorary Professorship at the University of Tokyo and an Emeritus Professorship at the University of Mansourah in Egypt. Nader El-Bizri is a Reader at the University of Lincoln, and a Chercheur Associé at the Centre National de la Recherche Scientifique in Paris (CNRS, UMR 7219). He has lectured on ‘Arabic Sciences and Philosophy’ at the University of Cambridge since 1999. He held a Visiting Professorship at the University of Lincoln (2007-2010), and, since 2002, he continues to be a senior Research Associate affiliated with The Institute of Ismaili Studies, London.