The Doctrine of Triangles : : A History of Modern Trigonometry / / Glen Van Brummelen.
An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentiethThe 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...
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Van Brummelen, Glen, author. aut http://id.loc.gov/vocabulary/relators/aut The Doctrine of Triangles : A History of Modern Trigonometry / Glen Van Brummelen. Princeton, NJ : Princeton University Press, [2021] ©2021 1 online resource (392 p.) : 122 b/w illus., 6 tables text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Preface -- 1. European Trigonometry Comes of Age -- 2. Logarithms -- 3. Calculus -- 4. China -- 5. Europe After Euler -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentiethThe 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.A masterful combination of scholarly rigor and compelling narrative, The Doctrine of Triangles brings trigonometry’s rich historical past full circle into the modern era. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 01. Dez 2022) Trigonometry History. MATHEMATICS / Trigonometry. bisacsh Anton von Braunmühl. CORDIC. Chinese mathematicians. Chinese trigonometry. Eli Maor. Erasmus Reinhold. Euler. Fourier series. Hipparchus. Jesuit mathematicians. Jesuits. Regiomontanus. Rheticus. Srinivasa Ramanujan. Thomas Fincke. Trigonometric Delights. differential equations. gradians. haversines. history of mathematics. history of science. hyperbolic trigonometry. law of tangents. math pedagogy. mathematical analysis. mathematical education. oscillatory phenomena. plane astronomy. radians. spherical astronomy. versines. Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English 9783110754001 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 9783110753776 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English 9783110754131 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 9783110753905 ZDB-23-DMA Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2021 9783110739121 https://doi.org/10.1515/9780691219875?locatt=mode:legacy https://www.degruyter.com/isbn/9780691219875 Cover https://www.degruyter.com/document/cover/isbn/9780691219875/original |
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Van Brummelen, Glen, Van Brummelen, Glen, |
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Van Brummelen, Glen, Van Brummelen, Glen, The Doctrine of Triangles : A History of Modern Trigonometry / Frontmatter -- Contents -- Preface -- 1. European Trigonometry Comes of Age -- 2. Logarithms -- 3. Calculus -- 4. China -- 5. Europe After Euler -- Bibliography -- Index |
author_facet |
Van Brummelen, Glen, Van Brummelen, Glen, |
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VerfasserIn VerfasserIn |
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Van Brummelen, Glen, |
title |
The Doctrine of Triangles : A History of Modern Trigonometry / |
title_sub |
A History of Modern Trigonometry / |
title_full |
The Doctrine of Triangles : A History of Modern Trigonometry / Glen Van Brummelen. |
title_fullStr |
The Doctrine of Triangles : A History of Modern Trigonometry / Glen Van Brummelen. |
title_full_unstemmed |
The Doctrine of Triangles : A History of Modern Trigonometry / Glen Van Brummelen. |
title_auth |
The Doctrine of Triangles : A History of Modern Trigonometry / |
title_alt |
Frontmatter -- Contents -- Preface -- 1. European Trigonometry Comes of Age -- 2. Logarithms -- 3. Calculus -- 4. China -- 5. Europe After Euler -- Bibliography -- Index |
title_new |
The Doctrine of Triangles : |
title_sort |
the doctrine of triangles : a history of modern trigonometry / |
publisher |
Princeton University Press, |
publishDate |
2021 |
physical |
1 online resource (392 p.) : 122 b/w illus., 6 tables |
contents |
Frontmatter -- Contents -- Preface -- 1. European Trigonometry Comes of Age -- 2. Logarithms -- 3. Calculus -- 4. China -- 5. Europe After Euler -- Bibliography -- Index |
isbn |
9780691219875 9783110754001 9783110753776 9783110754131 9783110753905 9783110739121 |
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https://doi.org/10.1515/9780691219875?locatt=mode:legacy https://www.degruyter.com/isbn/9780691219875 https://www.degruyter.com/document/cover/isbn/9780691219875/original |
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Illustrated |
doi_str_mv |
10.1515/9780691219875?locatt=mode:legacy |
oclc_num |
1201696888 |
work_keys_str_mv |
AT vanbrummelenglen thedoctrineoftrianglesahistoryofmoderntrigonometry AT vanbrummelenglen doctrineoftrianglesahistoryofmoderntrigonometry |
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n |
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(DE-B1597)576329 (OCoLC)1201696888 |
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Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2021 |
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The Doctrine of Triangles : A History of Modern Trigonometry / |
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Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English |
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