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Author: Bharath Sriraman
Publisher: Springer Nature
ISBN: 3031408462
Category :
Languages : en
Pages : 3221
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Book Description
Author: Bharath Sriraman
Publisher: Springer Nature
ISBN: 3031408462
Category :
Languages : en
Pages : 3221
Get Book Here
Book Description
Author: Glen Van Brummelen
Publisher: Princeton University Press
ISBN: 1400833310
Category : Mathematics
Languages : en
Pages : 352
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Book Description
The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.
Author: Roshdi Rashed
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110571420
Category : Philosophy
Languages : en
Pages : 888
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Book Description
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 Spherics composed by al-Māhānī /al-Harawī, together with a historical and mathematical study of Menelaus’ treatise. With this book, a new and important part of the Greek and Arabic legacy to the history of mathematics comes to light. This book will be an indispensable acquisition for any reader interested in the history of Ancient geometry and science and, more generally, in Greek and Arabic science and culture.
Author: Howard Whitley Eves
Publisher: Jones & Bartlett Learning
ISBN: 9780867204759
Category : Computers
Languages : en
Pages : 392
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Book Description
College Geometry is divided into two parts. Part I is a sequel to basic high school geometry and introduces the reader to some of the important modern extensions of elementary geometry- extension that have largely entered into the mainstream of mathematics. Part II treats notions of geometric structure that arose with the non-Euclidean revolution in the first half of the nineteenth century.
Author: Edward Grant
Publisher: Cambridge University Press
ISBN: 9780521292948
Category : Science
Languages : en
Pages : 148
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Book Description
This concise introduction to the history of physical science in the Middle Ages begins with a description of the feeble state of early medieval science and its revitalization during the twelfth and thirteenth centuries, as evidenced by the explosion of knowledge represented by extensive translations of Greek and Arabic treatises. The content and concepts that came to govern science from the late twelfth century onwards were powerfully shaped and dominated by the science and philosophy of Aristotle. It is, therefore, by focussing attention on problems and controversies associated with Aristotelian science that the reader is introduced to the significant scientific developments and interpretations formulated in the later Middle Ages. The concluding chapter presents a new interpretation of the medieval failure to abandon the physics and cosmology of Aristotle and explains why, despite serious criticisms, they were not generally repudiated during this period. As detailed critical bibliography completes the work.
Author: Edward Grant
Publisher: Cambridge University Press
ISBN: 9780521567626
Category : History
Languages : en
Pages : 268
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Book Description
This 1997 book views the substantive achievements of the Middle Ages as they relate to early modern science.
Author: Renzo Caddeo
Publisher: Springer Nature
ISBN: 3031095707
Category : Mathematics
Languages : en
Pages : 437
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Book Description
This volume presents the beautiful memoirs of Euler, Lagrange and Lambert on geography, translated into English and put into perspective through explanatory and historical essays as well as commentaries and mathematical notes. These works had a major impact on the development of the differential geometry of surfaces and they deserve to be studied, not only as historical documents, but most of all as a rich source of ideas.
Author: Edward S. Kennedy
Publisher: Taylor & Francis
ISBN: 1040231438
Category : History
Languages : en
Pages : 366
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Book Description
This collection of studies by Edward Kennedy looks first at questions of spherical astronomy, celestial mapping and planetary models, and then deals with astrological calculations. Throughout the author emphasises the importance of advances in mathematics for understanding the development of medieval Arabic sciences. This collection of studies based on previously unexploited manuscript sources in Arabic and Persian. They were written by authors from the 9th through the 15th centuries, whose locations reached from south China in the east through Central Asia, the Middle and Near East, and North Africa, to Spain in the west. The topics are predominately astronomical rather than astrological. The former include eclipse predictions, problems in spherical astronomy, non-ptolemaic planetary theory, and the achievements of Ulugh Beg and his observatory. Astrological subjects treated are the method of calculating the ascendant, and how to determine astrological houses and lots. An astrological history of the career of Genghis Khan is also described.
Author: Athanase Papadopoulos
Publisher: Springer Nature
ISBN: 3031435109
Category :
Languages : en
Pages : 396
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Book Description
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
