Founding Figures and Commentators in Arabic Mathematics : A History of Arabic Sciences and Mathematics Volume 1

ISBN-13: 9780415582179 / Angielski / Twarda / 2011 / 808 str.

Roshdi Rashed;¬Abar;¬Abar

Opis

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.

Spis treści

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