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This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat.

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 in the ninth and tenth centuries.

This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. It also includes extensive commentary from one of world¿s foremost authorities.

Fermat et les débuts modernes de la géométriePierre Fermat est l'une des figures majeures des mathématiques. Au XVIIe siècle, son oeuvre se distingue par la diversité des champs qu'elle couvre. Novateur en théorie des nombres et en analyse diophantienne, Fermat ne l'était pas moins dans les disciplines géométriques. Mais, si ses travaux en théorie des nombres ont été l'objet de nombreuses analyses, aucune étude n'a jamais embrassé l'ensemble d...

This is the first comprehensive treatment of the history of the angle from Euclid to classical Arabic mathematics. The volume presents critically edited texts, with translations and commentaries, of Greek and Arabic philosophers and mathematicians including Euclid, Simplicius, al-Nayr¿z¿, Avicenna, Ibn al-Haytham, al-T¿s¿, al-Sh¿r¿z¿, and al-F¿ris¿.

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...

With the fifth book of the Konika ancient mathematics reached a climax. In it Apollonius presents the first known theory of the maxima and minima lines, which was taken up again by mathematicians in the early 10th century, and above all in the 17th century. As is the case for books 6 and 7, the original Greek text of this book is lost, and it is only known from an Arabic translation made in Baghdad in the 9th century. This volume presents the ...

This is the first study of the history of Diophantine analysis and the theory of numbers from Abu Kamil to Fermat (9th-17th century). It thus offers an elaborate and detailed overview on a fundamental chapter on classical mathematical thought and its relation to algebra and Diophantus' Arithmetica. >Arithmetica.

Theory of Conics, Geometrical Constructions and Practical Geometry: A History of Arabic Sciences and Mathematics Volume 3, provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. The present text is complemented by two preceding volumes of A History of Arabic Sciences and Mathematics, which focused on founding figures and commentators in the ninth and tenth centuries, and the his...

This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. It also includes extensive commentary from one of world¿s foremost authorities on the subject.

Despite its importance in the history of Ancient science, Menelaus' Spherics is still by and large unknown. This treatise, which lies at the foundation of spherical geometry, is lost in Greek but has been preserved in its Arabic versions. The reader will find here, for the first time edited and translated into English, the essentials of this tradition, namely: a fragment of an early Arabic translation and the first Arabic redaction of the Sphe...

This volume provides a unique primary source on the history and philosophy of mathematics and the exact sciences from the mediaeval Arab world. It also includes extensive commentary from one of the world¿s foremost authorities in the field of Arabic sciences and philosophy, the eminent scholar Roshdi Rashed, who illuminates the various historical, textual and epistemic threads that underpinned the history of Arabic mathematical and scientific ...

Providing a unique primary source on the history and philosophy of mathematics and science from the medieval Arab world, this book also includes extensive commentary from one of the world's foremost authorities on the subject.

This volume provides a unique primary source on the history and philosophy of mathematics and the exact sciences from the mediaeval Arab world. It also includes extensive commentary from one of the world¿s foremost authorities in the field of Arabic sciences and philosophy, the eminent scholar Roshdi Rashed, who illuminates the various historical, textual and epistemic threads that underpinned the history of Arabic mathematical and scientific ...

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 in the ninth and tenth centuries.

Ce livre est consacré à l'histoire des concepts de la langue scientifique arabe, forgés au cours du travail de traduction (à partir du grec notamment) ou inventés pour les besoins d'une recherche originale, dès la fin du VIIIe siècle. Il s'agit du premier lexique raisonné de la terminologie scientifique classique de l'arabe, en quelque langue que ce soit. Impensable il y a encore un demi-siècle, cet ouvrage de plus de mille pages a été rendu p...

This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. It also includes extensive commentary from one of world s foremost authorities.

This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat.

This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. It also includes extensive commentary from one of world s foremost authorities on the subject.

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...