volume 1. Founding figures and commentators in Arabic mathematics / edited by Nader El-Bizr ; translated by Roger Wareham, with Chris Allen and Michael Barany -- volume 2. Ibn al-Haytham and analytical mathematics / translated by Susan Glynn and Roger Wareham -- volume 3. Ibn al-Haytham's theory of conics, geometrical constructions, and practical geometry / translated by J.V. Field -- volume 4. Ibn al-Haytham, new spherical geometry and astronomy / translated by J.V. Field

"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 Ban ︣Ms︣,́ Thb́it ibn Qurra, Ibrh́m̋ ibn Sinń, Ab ︣Jaþfar al-Khźin, Ab ︣Sahl Wayjan ibn Rustḿ al-Qh︣ ̋- and eleventh-century Andalusian mathematicians like Ab ︣al-Qśim ibn al-Samh, and al-Mu'taman ibn Hd︣. 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"--