The Arab contribution is fundamental to the history of science, mathematics and technology. In three volumes, this work documents the history and philosopy of Arabic science from the earliest times to the present day. The set as a whole covers seven centuries. Thirty chapters, written by an international team of specialists from Europe, America, the Middle East and Russia cover such areas as astronomy, mathematics, music, engineering, nautical science and scientific institutions. It is divided into three volumes: astronomy - theoretical and applied; mathematics and the physical sciences;...
The Arab contribution is fundamental to the history of science, mathematics and technology. In three volumes, this work documents the history and phil...
An understanding of developments in Arabic mathematics between the IXth and XVth century is vital to a full appreciation of the history of classical mathematics. This book draws together more than ten studies to highlight one of the major developments in Arabic mathematical thinking, provoked by the double fecondation between arithmetic and the algebra of al-Khwarizmi, which led to the foundation of diverse chapters of mathematics: polynomial algebra, combinatorial analysis, algebraic geometry, algebraic theory of numbers, diophantine analysis and numerical calculus. Thanks to epistemological...
An understanding of developments in Arabic mathematics between the IXth and XVth century is vital to a full appreciation of the history of classical m...
Al-Khwarizmi's Algebra (Kitab al-Jabr wa-al-muqabala), written around 820, was the first scientific text in history to systematically present algebra as a mathematical discipline that is independent of geometry and arithmetic. Roshdi Rashed has produced the first Arabic critical edition of Al-Khwarizmi's work, containing an annotated translation into English, an introductory essay, and extensive commentaries on the text.
Roshdi Rashed is a leading authority in the history and philosophy of science and mathematics. He is senior director of research at the Centre...
Al-Khwarizmi's Algebra (Kitab al-Jabr wa-al-muqabala), written around 820, was the first scientific text in history to systematically...
Book IV of the Konika consists of two parts; the first presents a theory of poles and polars, the second deals with the number of intersections and points of contact in a conic section. Previously the book was only extant as the very unreliable text of a Greek commentary by Eutocius. Roshdi Rashed here presents for the first time an edition of an Arabic translation based on a text independent of this Greek version. This is a valuable re-discovery, for which reason it is published here as a separate volume. It contains an edition princeps of the Arabic text, together with a faithful...
Book IV of the Konika consists of two parts; the first presents a theory of poles and polars, the second deals with the number of intersections and po...
Book VI of the Konika is essentially devoted to the question of the identity and similarity of two conic sections, or two parts of conic sections. In Book VII Apollonius deals with the various relationships between the lengths of diameters and conjugate diameters. The results are applied to the exposition of a number of problems, as well as to some problems which Apollonius indicates will be demonstrated and solved in Book VIII, which was lost in Antiquity. Books VI and VII have only survived in an Arabic translation, and are presented here in a critical edition, together with a...
Book VI of the Konika is essentially devoted to the question of the identity and similarity of two conic sections, or two parts of conic sec...
Einem einzigartigen und schwierigen Problem gewidmet, ist die Abhandlung Uber den Verhaltnisschnitt von Apollonius aus Perge ein bemerkenswert komplexes Beispiel fur die Erforschung der notwendigen Voraussetzungen fur die Existenz einer Losung. Der vorliegende Band bietet die editio princeps des nur arabisch uberlieferten Textes. Erschlossen wird er durch eine franzosische Ubersetzung und einen Kommentar, der die Mechanismen des schwierigen Beweises durch Apollonius aufzeigt und dabei besonders auf deren konzeptionelle Innovationen hinweist.
Einem einzigartigen und schwierigen Problem gewidmet, ist die Abhandlung Uber den Verhaltnisschnitt von Apollonius aus Perge ein bemerkens...
Mit dem funften Buch der Kegelschnitte erreicht die antike Mathematik einen Hohepunkt. Apollonius fuhrt darin die erste bekannte Theorie der Maxima- und Minima-Linien aus, die von den Mathematikern zu Beginn des 10. und vor allem des 17. Jahrhunderts wieder aufgegriffen wurde. Ebenso wie die folgenden beiden Bucher VI und VII ist dieses Buch, dessen griechische Original-Fassung verloren ist, nur in der arabischen Ubersetzung erhalten, die im 9. Jahrhundert in Bagdad erstellt wurde. Der Leser findet in diesem Band eine im wahrsten Wortsinn kritische Edition des funften Buches...
Mit dem funften Buch der Kegelschnitte erreicht die antike Mathematik einen Hohepunkt. Apollonius fuhrt darin die erste bekannte Theorie d...
The first three books of the Conica deals with the basic elements of the theory of conical sections, before Apollonius turns to particular problems in the following books. Until recently these three books were only known from Eutocius' text. However, they were known to be part of an Arabic translation of a Greek version independent of Eutocius' text.
A close study of the Arabic texts of books 2 and 3 leads to the same conclusion as that which, as a result of the new edition, was reached for the first book: that the Greek version provides a better and sounder text. This...
The first three books of the Conica deals with the basic elements of the theory of conical sections, before Apollonius turns to particular...
Die Abhandlung uber Kegelschnitte des hellenistischen Mathematikers Apollonius aus Perge gilt als ein Gipfelpunkt der griechischen Mathematik und war bis ins 18. Jahrhundert hinein richtungsweisend. Die Neuedition berucksichtigt erstmals samtliche griechische und arabische Quellen; die arabischen Texte werden in der kritischen Erstedition vorgelegt. Beide Textversionen werden von einer franzosischen Ubersetzung begleitet. Ein reichhaltiger mathematischer Kommentar, ergiebige philologische Anmerkungen und ein komplettes Glossar vervollstandigen die Ausgabe. Die vierbandige Edition soll 2009...
Die Abhandlung uber Kegelschnitte des hellenistischen Mathematikers Apollonius aus Perge gilt als ein Gipfelpunkt der griechischen Mathematik und w...
A primary source on the history and philosophy of mathematics and the exact sciences from the medieval Arab world. 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 17th century. 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,...
A primary source on the history and philosophy of mathematics and the exact sciences from the medieval Arab world. Eminent scholar Roshdi Rashed illum...
