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Accueil du site > Publications > Grandes éditions > Founding Figures and Commentators in Arabic Mathematics

Founding Figures and Commentators in Arabic Mathematics

A History of Arabic Sciences and Mathematics, Volume 1, 2011

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Roshdi Rashed


Edited by Nader El-Bizri







In this unique insight into the history and philosophy of mathematics and science in the mediaeval Arab world, the eminent scholar Roshdi Rashed illuminates the various historical, textual and epistemic threads that underpinned the history of Arabic mathematical and scientific knowledge up to the seventeenth century. The first of five wide-ranging and comprehensive volumes, this book provides a detailed exploration of Arabic mathematics and sciences in the ninth and tenth centuries.


Extensive and detailed analyses and annotations support a number of key Arabic texts, which are translated here into English for the first time. In this volume Rashed focuses on the traditions of celebrated polymaths from the ninth and tenth centuries ’School of Baghdad’ - such as the Banu Musa, Thabit ibn Qurra, Ibrahim ibn Sinan, Abu Ja’far al-Khazin, Abu Sahl Wayjan ibn Rustam al-Quhi - and eleventh-century Andalusian mathematicians like Abu al-Qasim ibn al-Samh, and al-Mu’taman ibn Hud. The Archimedean-Apollonian traditions of these polymaths are thematically explored to illustrate the historical and epistemological development of ’infinitesimal mathematics’ as it became more clearly articulated in the eleventh-century influential legacy of al-Hasan ibn al-Haytham (’Alhazen’).


Contributing to a more informed and balanced understanding of the internal currents of the history of mathematics and the exact sciences in Islam, and of its adaptive interpretation and assimilation in the European context, this fundamental text will appeal to historians of ideas, epistemologists, mathematicians at the most advanced levels of research.


 :: collection Culture and Civilization in the Middle East, 2011
 :: London, Centre for Arab Unity Studies
 :: 808 p.
 :: ISBN 978-0-415-58217-9




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Contents


Editor Foreword
Preface
Note
Chapter 1 : Banu Musa and the Calculation of the Volume of the Sphere and the Cylinder
Chapter 2 : Thabit Ibn Qurra and his Works in Infinitesimal Mathematics
Chapter 3 : Ibn Sinan, Critique of Al-Mahani : The Area of the Parabola
Chapter 4 : Abu Ja’far Al-Khazin. Isoperimetrics and Isepiphanics
Chapter 5 : Al-Quhi, Critique of Thabit : Volume of the Paraboloid of Revolution
Chapter 6 : Ibn Al-Samh : The Plane Sections of a Cylinder and the Determination of their Areas
Chapter 7 : Ibn hud : The Measurement of the Parabola and the Isoperimetric Problem
Supplementary Notes
Bibliography
Indexes