You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Review: Innovation and Tradition in Sharaf al-Dīn al-Ṭūsī's Muʿādalāt: Sharaf al-Dīn al-Ṭūsī, oeuvres mathématiques: Algèbre et géométrie au XIIe siècle by Roshdi Rashed
Reviewed Work: Sharaf al-Dīn al-Ṭūsī, oeuvres mathématiques: Algèbre et géométrie au XIIe siècle by Roshdi Rashed
Review by: J. L. Berggren , Sharaf Al-Dīn Al-Tūsī
Journal of the American Oriental Society
Vol. 110, No. 2 (Apr. - Jun., 1990), pp. 304-309
Published by: American Oriental Society
Stable URL: http://www.jstor.org/stable/604533
Page Count: 6
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
Note: This article is a review of another work, such as a book, film, musical composition, etc. The original work is not included in the purchase of this review.
The largest treatise in Roshdi Rashed's edition of the mathematical works of Sharaf al-Dīn al-Ṭūsī is Al-muʿādalāt, a work devoted to the solution of cubic equations. This treatise shows that Islamic authors went considerably beyond the achievements of ʿUmar al-Khayyāmī in three areas: (1) finding conditions for the existence of solutions to cubic equations, (2) discovering algorithms for calculating these solutions, and (3) justifying these algorithms. Although so much is clear, it is still no easy task to understand Sharaf al-Dīn's thought processes and so achieve an understanding of the historical filiations of the document. Rashed has argued that Sharaf al-Dīn discovered the derivative of cubic polynomials and realized its significance for investigating conditions under which cubic equations were solvable; however, other scholars have suggested quite different explanations of Sharaf al-Dīn's thinking, which connect it with mathematics found in Euclid or Archimedes. Our purpose in the present essay review is to decide which of these three readings seems best to fit the text.
Journal of the American Oriental Society © 1990 American Oriental Society