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.


Pathfinders

Pathfinders

Author: Jim Al-Khalili

Publisher: Penguin UK

Published: 2010-09-30

Total Pages: 428

ISBN-13: 0141965010

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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.


Books IV to VII of Diophantus’ Arithmetica

Books IV to VII of Diophantus’ Arithmetica

Author: Jacques Sesiano

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 507

ISBN-13: 1461381746

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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.


The Rainbow of Mathematics

The Rainbow of Mathematics

Author: Ivor Grattan-Guinness

Publisher: W. W. Norton & Company

Published: 2000

Total Pages: 836

ISBN-13: 9780393320305

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"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.


Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry

Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry

Author: Roshdi Rashed

Publisher: Routledge

Published: 2013-06-26

Total Pages: 770

ISBN-13: 1135072531

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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 historical and epistemological development of ‘infinitesimal mathematics’ as it became clearly articulated in the oeuvre of Ibn al-Haytham. This volume examines the increasing tendency, after the ninth century, to explain mathematical problems inherited from Greek times using the theory of conics. Roshdi Rashed argues that Ibn al-Haytham completes the transformation of this ‘area of activity,’ into a part of geometry concerned with geometrical constructions, dealing not only with the metrical properties of conic sections but with ways of drawing them and properties of their position and shape. Including extensive commentary from one of world’s foremost authorities on the subject, this book contributes 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.


How Greek Science Passed On To The Arabs

How Greek Science Passed On To The Arabs

Author: Delacy O'Leary

Publisher: Routledge

Published: 2015-12-22

Total Pages: 152

ISBN-13: 1317847482

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First published in 2002. The history of science is one of knowledge being passed from community to community over thousands of years, and this is the classic account of the most influential of these movements -how Hellenistic science passed to the Arabs where it took on a new life and led to the development of Arab astronomy and medicine which flourished in the courts of the Muslim world, later passing on to medieval Europe. Starting with the rise of Hellenism in Asia in the wake of the campaigns of Alexander the Great, O'Leary deals with the Greek legacy of science, philosophy, mathematics and medicine and follows it as it travels across the Near East propelled by religion, trade and conquest. Dealing in depth with Christianity as a Hellenizing force, the influence of the Nestorians and the Monophysites; Indian influences by land and sea and the rise of Buddhism, O'Leary then focuses on the development of science during the Baghdad Khalifate, the translation of Greek scientific material into Arabic, and the effect for all those interested in the history of medicine and science, and of historical geography as well as the history of the Arab world.


The House of Wisdom

The House of Wisdom

Author: Jim Al-Khalili

Publisher: Penguin

Published: 2011-03-31

Total Pages: 338

ISBN-13: 1101476230

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A myth-shattering view of the Islamic world's myriad scientific innovations and the role they played in sparking the European Renaissance. Many of the innovations that we think of as hallmarks of Western science had their roots in the Arab world of the middle ages, a period when much of Western Christendom lay in intellectual darkness. Jim al- Khalili, a leading British-Iraqi physicist, resurrects this lost chapter of history, and given current East-West tensions, his book could not be timelier. With transporting detail, al-Khalili places readers in the hothouses of the Arabic Enlightenment, shows how they led to Europe's cultural awakening, and poses the question: Why did the Islamic world enter its own dark age after such a dazzling flowering?


Al-Khwārizmī

Al-Khwārizmī

Author: Muḥammad ibn Mūsá Khuwārizmī

Publisher: Saqi Books - Saqi Books

Published: 2009

Total Pages: 0

ISBN-13: 9780863564307

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The first critical edition of Al-Khwarizmi's Algebra.