Encyclopedia of the History of Arabic Science
Encyclopedia of the History of Arabic Science

Author: Roshdi Rashed

Publisher: Routledge

Published: 2019-08-08

Total Pages: 1022

ISBN-13: 1134977239

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The Arabic contribution is fundamental to the history of science, mathematics and technology, but until now no single publication has offered an up-to-date synthesis of knowledge in this area. In three fully-illustrated volumes the Encyclopedia of the History of Arabic Science documents the history and philosophy 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.

Encyclopedia of the History of Arabic Science: Technology, alchemy and life sciences
Encyclopedia of the History of Arabic Science: Technology, alchemy and life sciences

Author: Rushdī Rāshid

Publisher: CRC Press

Published: 1996

Total Pages: 364

ISBN-13: 0415124123

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"The Arab contribution is fundamental to the history of science, mathematics and technology, but until now no single publication has offered an up-to-date synthesis of knowledge in this area. In three fully-illustrated volumes the Encyclopedia of the History of Arab Science documents the history and philosophy of Arab science from the earliest times to the present day. Thirty-one chapters, written by an international team of specialists, cover astronomy, mathematics, music, engineering, nautical science, scientific institutions and many other areas. The Encyclopedia is divided into three volumes: 1. Astronomy--Theoretical and applied 2. Mathematics and the Physical Sciences 3. Technology, Alchemy, and the Life Sciences. Extensively illustrated with figures, tables, and plates, each chapter is written by an internationally respected expert, guaranteeing accuracy and quality. Each volume contains an extensive bibliography of sources and suggestions for further reading, and the set is fully indexed. This set will interest mathematicians, engineers and scientists, as well as students of history, the history of science, and Middle Eastern studies."--Publisher's information.

Ibn al-Haytham, New Astronomy and Spherical Geometry
Ibn al-Haytham, New Astronomy and Spherical Geometry

Author: Roshdi Rashed

Publisher: Routledge

Published: 2020-10-12

Total Pages: 434

ISBN-13: 1317680863

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This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. The fourth volume of A History of Arabic Sciences and Mathematics is complemented by three preceding volumes which focused on infinitesimal determinations and other chapters of classical mathematics. This book includes five main works of the polymath Ibn al-Haytham (Alhazen) on astronomy, spherical geometry and trigonometry, plane trigonometry and studies of astronomical instruments on hour lines, horizontal sundials and compasses for great circles. In particular, volume four examines: the increasing tendency to mathematize the inherited astronomy from Greek sources, namely Ptolemy's Almagest; the development of celestial kinematics; new research in spherical geometry and trigonometry required by the new kinematical theory; the study on astronomical instruments and its impact on mathematical research. These new historical materials and their mathematical and historical commentaries contribute to rewriting the history of mathematical astronomy and mathematics from the 11th century on. Including extensive commentary from one of the world’s foremost authorities on the subject, this fundamental text is essential reading for historians and mathematicians at the most advanced levels of research.

A History of Arabic Sciences and Mathematics
A History of Arabic Sciences and Mathematics

Author: Roshdi Rashed

Publisher:

Published:

Total Pages:

ISBN-13:

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"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. Extensive and detailed analyses and annotations support a number of key Arabic texts, which are translated here into English for the first time. In this volume Rashed focuses on the traditions of celebrated polymaths from the ninth and tenth centuries 'School of Baghdad' - such as the Ban ︣Ms︣,́ Thb́it ibn Qurra, Ibrh́m̋ ibn Sinń, Ab ︣Jaþfar al-Khźin, Ab ︣Sahl Wayjan ibn Rustḿ al-Qh︣ ̋- and eleventh-century Andalusian mathematicians like Ab ︣al-Qśim ibn al-Samh, and al-Mu'taman ibn Hd︣. The Archimedean-Apollonian traditions of these polymaths are thematically explored to illustrate the historical and epistemological development of 'infinitesimal mathematics' as it became more clearly articulated in the eleventh-century influential legacy of al-Hasan ibn al-Haytham ('Alhazen'). 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, epistemologists, mathematicians at the most advanced levels of research"--

Ibn al-Haytham and Analytical Mathematics
Ibn al-Haytham and Analytical Mathematics

Author: Roshdi Rashed

Publisher: Routledge

Published: 2013-05-02

Total Pages: 438

ISBN-13: 1136191070

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This volume provides a unique primary source on the history and philosophy of mathematics and the exact sciences in the mediaeval Arab world. The second of five comprehensive volumes, this book offers a detailed exploration of Arabic mathematics in the eleventh century as embodied in the legacy of the celebrated polymath al-Hasan ibn al-Haytham. Extensive analyses and annotations from the eminent scholar, Roshdi Rashed, support a number of key Arabic texts from Ibn al-Haytham’s treatises in infinitesimal mathematics, translated here into English for the first time. Rashed shows how Ibn al-Haytham’s works demonstrate a remarkable mathematical competence in mathematical subjects like the quadrature of the circle and of lunes, the calculation of the volumes of paraboloids, the problem of isoperimetric plane figures and solid figures with equal surface areas, along with the extraction of square and cubic roots. The present text is complemented by the first volume of A History of Arabic Sciences and Mathematics, which focused on founding figures and commentators in the ninth and tenth centuries Archimedean-Apollonian mathematical ‘School of Baghdad’. This constellation of works illustrates the historical and epistemological development of ‘infinitesimal mathematics’ as it became clearly articulated in the oeuvre of Ibn al-Haytham. 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, epistemologists and mathematicians at the most advanced levels of research.

A History of Arabic Sciences and Mathematics
A History of Arabic Sciences and Mathematics

Author: Rushdī Rāshid

Publisher:

Published: 2012

Total Pages: 0

ISBN-13: 9780415582193

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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.

Founding Figures and Commentators in Arabic Mathematics
Founding Figures and Commentators in Arabic Mathematics

Author: Roshdi Rashed

Publisher: Routledge

Published: 2013-03-07

Total Pages: 814

ISBN-13: 1136620001

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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. Extensive and detailed analyses and annotations support a number of key Arabic texts, which are translated here into English for the first time. In this volume Rashed focuses on the traditions of celebrated polymaths from the ninth and tenth centuries ‘School of Baghdad’ - such as the Banū Mūsā, Thābit ibn Qurra, Ibrāhīm ibn Sinān, Abū Ja ́far al-Khāzin, Abū Sahl Wayjan ibn Rustām al-Qūhī - and eleventh-century Andalusian mathematicians like Abū al-Qāsim ibn al-Samh, and al-Mu’taman ibn Hūd. The Archimedean-Apollonian traditions of these polymaths are thematically explored to illustrate the historical and epistemological development of ‘infinitesimal mathematics’ as it became more clearly articulated in the eleventh-century influential legacy of al-Hasan ibn al-Haytham (‘Alhazen’). 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, epistemologists, mathematicians at the most advanced levels of research.

The Development of Arabic Mathematics: Between Arithmetic and Algebra
The Development of Arabic Mathematics: Between Arithmetic and Algebra

Author: R. Rashed

Publisher: Springer Science & Business Media

Published: 2013-04-18

Total Pages: 392

ISBN-13: 9401732744

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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 analysis, and the discovery of hitherto unknown material, the author has brought these chapters into the light, proposes another periodization for classical mathematics, and questions current ideology in writing its history. Since the publication of the French version of these studies and of this book, its main results have been admitted by historians of Arabic mathematics, and integrated into their recent publications. This book is already a vital reference for anyone seeking to understand history of Arabic mathematics, and its contribution to Latin as well as to later mathematics. The English translation will be of particular value to historians and philosophers of mathematics and of science.