The Development of Trigonometric Methods Down to the Close of the XVth Century: The development of trigonometric methods down to the close of the XVth century...Extrait d'Isis no.11 (vol.IV,2) October 1921 PDF Download
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Author: John David Bond
Publisher:
ISBN:
Category : Trigonometry
Languages : en
Pages : 44
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Book Description
Author: John David Bond
Publisher:
ISBN:
Category : Trigonometry
Languages : en
Pages : 44
Get Book Here
Book Description
Author: John David Bond
Publisher:
ISBN:
Category : Trigonometry
Languages : en
Pages : 46
Get Book Here
Book Description
Author: John David Bond
Publisher:
ISBN:
Category : Trigonometry
Languages : en
Pages : 32
Get Book Here
Book Description
Author: John David Bond
Publisher:
ISBN:
Category : Trigonometry
Languages : en
Pages : 42
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Book Description
Author: Glen Van Brummelen
Publisher: Princeton University Press
ISBN: 9780691129730
Category : Mathematics
Languages : en
Pages : 356
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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: Glen van Brummelen
Publisher:
ISBN:
Category :
Languages : en
Pages : 372
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Book Description
"An interdisciplinary history of trigonometry from the mid-sixteenth century through to the early twentieth century The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology. Following its uses in mid-sixteenth-century Europe as the "foot of the ladder to the stars" and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry's participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms"--
