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Author: Richard Lorch
Publisher: Routledge
ISBN:
Category : History
Languages : en
Pages : 376
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Book Description
This volume focuses on the mathematical sciences in mediaeval Islam - astronomical instruments, the geometry of the sphere and the translation of texts (from Greek into Arabic and from Arabic into Latin). Four of the articles contain texts in Arabic or Latin, with commentary.
Author: Richard Lorch
Publisher: Routledge
ISBN:
Category : History
Languages : en
Pages : 376
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Book Description
This volume focuses on the mathematical sciences in mediaeval Islam - astronomical instruments, the geometry of the sphere and the translation of texts (from Greek into Arabic and from Arabic into Latin). Four of the articles contain texts in Arabic or Latin, with commentary.
Author: R. Rashed
Publisher: Springer Science & Business Media
ISBN: 9401732744
Category : History
Languages : en
Pages : 392
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Book Description
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.
Author: Jacques Sesiano
Publisher: Springer Science & Business Media
ISBN: 1461381746
Category : Mathematics
Languages : en
Pages : 507
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Book Description
This edition of Books IV to VII of Diophantus' Arithmetica, which are extant only in a recently discovered Arabic translation, is the outgrowth of a doctoral dissertation submitted to the Brown University Department of the History of Mathematics in May 1975. Early in 1973, my thesis adviser, Gerald Toomer, learned of the existence of this manuscript in A. Gulchln-i Macanl's just-published catalogue of the mathematical manuscripts in the Mashhad Shrine Library, and secured a photographic copy of it. In Sep tember 1973, he proposed that the study of it be the subject of my dissertation. Since limitations of time compelled us to decide on priorities, the first objective was to establish a critical text and to translate it. For this reason, the Arabic text and the English translation appear here virtually as they did in my thesis. Major changes, however, are found in the mathematical com mentary and, even more so, in the Arabic index. The discussion of Greek and Arabic interpolations is entirely new, as is the reconstruction of the history of the Arithmetica from Diophantine to Arabic times. It is with the deepest gratitude that I acknowledge my great debt to Gerald Toomer for his constant encouragement and invaluable assistance.
Author: Jim Al-Khalili
Publisher: Penguin UK
ISBN: 0141965010
Category : Science
Languages : en
Pages : 336
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Book Description
For over 700 years the international language of science was Arabic. In Pathfinders, Jim al-Khalili celebrates the forgotten pioneers who helped shape our understanding of the world. All scientists have stood on the shoulders of giants. But most historical accounts today suggest that the achievements of the ancient Greeks were not matched until the European Renaissance in the 16th century, a 1,000-year period dismissed as the Dark Ages. In the ninth-century, however, the Abbasid caliph of Baghdad, Abu Ja'far Abdullah al-Ma'mun, created the greatest centre of learning the world had ever seen, known as Bayt al-Hikma, the House of Wisdom. The scientists and philosophers he brought together sparked a period of extraordinary discovery, in every field imaginable, launching a golden age of Arabic science. Few of these scientists, however, are now known in the western world. Abu Rayhan al-Biruni, a polymath who outshines everyone in history except Leonardo da Vinci? The Syrian astronomer Ibn al-Shatir, whose manuscripts would inspire Copernicus's heliocentric model of the solar system? Or the 13th-century Andalucian physician Ibn al-Nafees, who correctly described blood circulation 400 years before William Harvey? Iraqi Ibn al-Haytham who practised the modern scientific method 700 years before Bacon and Descartes, and founded the field of modern optics before Newton? Or even ninth-century zoologist al-Jahith, who developed a theory of natural selection a thousand years before Darwin? The West needs to see the Islamic world through new eyes and the Islamic world, in turn, to take pride in its extraordinarily rich heritage. Anyone who reads this book will understand why.
Author: J.L. Berggren
Publisher: Springer
ISBN: 1493937804
Category : Mathematics
Languages : en
Pages : 266
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Book Description
This book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. Topics covered in the first edition include arithmetic, algebra, geometry, trigonometry, and numerical approximation; this second edition adds number theory and combinatorics. Additionally, the author has included selections from the western regions of medieval Islam—both North Africa and Spain. The author puts the works into their historical context and includes numerous examples of how mathematics interacted with Islamic society.
Author: J. P. Hogendijk
Publisher: MIT Press
ISBN: 9780262194822
Category : History
Languages : en
Pages : 414
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Book Description
Recent historical research and new perspectives on the Islamic scientific tradition.
Author: Roshdi Rashed
Publisher: Routledge
ISBN: 1136191070
Category : History
Languages : en
Pages : 438
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Book Description
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.
Author: Ivor Grattan-Guinness
Publisher: W. W. Norton & Company
ISBN: 9780393320305
Category : Mathematics
Languages : en
Pages : 836
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Book Description
"For Ivor Grattan-Guinness . . . the story of how numbers were invented and harnessed is a passionate, physical saga."--"The New Yorker." The author charts the growth of mathematics through the centuries and describes the evolution of arithmetic and geometry, trigonometry, and other disciplines.
Author: Rushdī Rāshid
Publisher:
ISBN: 9780415582155
Category : HISTORY
Languages : en
Pages : 0
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Book Description
"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"--Provided by publisher.
Author: Ivor Grattan-Guinness
Publisher: Routledge
ISBN: 1134957491
Category : Philosophy
Languages : en
Pages : 1788
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Book Description
* Examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century * 176 articles contributed by authors of 18 nationalities * Chronological table of main events in the development of mathematics * Fully integrated index of people, events and topics * Annotated bibliographies of both classic and contemporary sources * Unique coverage of Ancient and non-Western traditions of mathematics
