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This interdisciplinary history of trigonometry spans four centuries, from 1550 to the early 1900s, detailing its evolution from a celestial tool to a practical instrument in various fields. Glen Van Brummelen narrates how trigonometry transformed alongside mathematical revolutions and the rise of science and technology across Europe, China, and America. Initially regarded as a means to understand astronomy, it became essential for modeling diverse phenomena, such as animal populations and sound waves. By the late sixteenth century, its application expanded into practical disciplines, aided by the invention of logarithms. The advent of calculus shifted mathematical reasoning from geometric to algebraic patterns, further integrating trigonometry into new analyses and fostering innovations like complex numbers and non-Euclidean geometry. Concurrently, trigonometry in China evolved rapidly, often merging with indigenous knowledge and Western discoveries. By the nineteenth century, it became a cornerstone of science and industry, solidifying its role as a fundamental component of the scientific and engineering toolkit and a staple in high school curricula.
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The Doctrine of Triangles, Glen Van Brummelen
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- Année de publication
- 2021
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