The Arithmetic of Al-Uqlīdisī: The Story of Hindu-Arabic Arithmetic as Told in Kitāb Al-Fuṣūl Fī Al-Ḥisāb Al-HindīSpringer Netherlands, 31 de març 1978 - 492 pàgines The purpose of presenting this book to the scholarly world is twofold. In the first place, I wish to provide for the English reader a translation of the earliest extant Arabic work of Hindi arithmetic. It shows this system at its earliest stages and the first steps in its development, a subject not yet well known except for readers of some Arabic publications by the present writer. This book is therefore of particular importance for students of the history of mathematical techniques. The medieval author, AI-UqHdisI, was, it seems, not noticed by bibliographers; neither was his work, which lay hardly noticed by modern scholars until 1960 when I happened to see a microfilm copy of it in the Institute of Arabic Manu scripts in Cairo. A steady labour immediately followed to make a comparative study of the text together with over twenty other texts, some of them not yet known to scholars. This pursuit resulted in (i) a doctoral degree awarded to me in 1966 by the University of Khartoum, (ii) the publication of several texts in Arabic including the text here translated, and (iii) the publication of several articles in Arabic and English on the history of arithmetic in the Middle Ages. The second purpose of this book is to make the main results of my study available to the English reader. |
Continguts
CHAPTER | 5 |
Frontispiece 3334 | 35 |
On the Nine Letters and the Places | 41 |
Copyright | |
No s’hi han mostrat 70 seccions
Altres edicions - Mostra-ho tot
The Arithmetic of Al-Uqlīdisī: The Story of Hindu-Arabic Arithmetic as told ... A.S. Saidan Previsualització limitada - 2012 |
The Arithmetic of Al-Uqlīdisī: The Story of Hindu-Arabic Arithmetic as told ... A.S. Saidan Previsualització no disponible - 2011 |
Frases i termes més freqüents
60 and divide A-type texts abacists Abū Abu al-Wafa added al-Ḥisāb al-Karaji al-Kashi al-Khwarizmi al-Nasawi al-Umawi al-Uqlidisi answer Arabic texts așamm assume becomes Brahmagupta casting out nines cell Chap chapters cube root decimal fractions decrease deduct digit dirhams division divisor double draw drop dust board eight elevate example extract the root fifth finger-reckoning five fourth given gives half halve Hindi arithmetic Hindi numerals Hindu hundred Ibn al-Nadim increasing insert the product integers with fractions Islamic jummal letters method metic Muslims nine letters obtain one-eighth one-fourth one-half one-ninth one-seventh one-sixth one-tenth one-third place of zero problems put a zero put zero qafizes quotient remains residue resolve result rootable scale of sixty scheme seconds seven sexagesimal shift shown square root subtraction takht tens tenth third thousand three places two-thirds units place upper want to divide want to multiply whole numbers