The Doctrine of Triangles: A History of Modern Trigonometry
ISBN: 0691179417
EAN13: 9780691179414
Language: English
Release Date: Jun 8, 2021
Pages: 392
Dimensions: 1" H x 9" L x 6" W
Weight: 1.737243 lbs.
Format: Hardcover

The Doctrine of Triangles: A History of Modern Trigonometry

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Book Overview

An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentieth

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 Read More chevron_right

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