LEADER 04518nam 2200889 450 001 9910554493703321 005 20211110161228.0 010 $a9780691219875$b(ebook) 010 $a0691219877$b(ebook) 010 $z9780691179414$b(hardback) 010 $a0-691-21987-7 024 7 $a10.1515/9780691219875 035 $a(CKB)5590000000458373 035 $a(DE-B1597)576329 035 $a(DE-B1597)9780691219875 035 $a(MiAaPQ)EBC6554356 035 $a(Au-PeEL)EBL6554356 035 $a(OCoLC)1201696888 035 $a(PPN)261395327 035 $a(EXLCZ)995590000000458373 100 $a20211023h20212021 uy 0 101 0 $aeng 135 $aurcn#---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe doctrine of triangles $ea history of modern trigonometry /$fGlen Van Brummelen 210 1$aPrinceton, New Jersey :$cPrinceton University Press,$d[2021] 210 4$dİ2021 215 $a1 online resource (xvi, 372 pages) $cillustrations 311 08$aPrint version: Van Brummelen, Glen. The doctrine of triangles Princeton : Princeton University Press, 2021. 9780691179414 (DLC) 2020047691 311 08$a0-691-17941-7 320 $aIncludes bibliographical references and index. 327 $tFrontmatter --$tContents --$tPreface --$g1.$tEuropean Trigonometry Comes of Age --$g2.$tLogarithms --$g3.$tCalculus --$g4.$tChina --$g5.$tEurope After Euler --$tBibliography --$tIndex. 330 $a"An interdisciplinary history of trigonometry from the mid-sixteenth century through to the early twentieth century. The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology. Following its uses in mid-sixteenth-century Europe as the "foot of the ladder to the stars" and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry's participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms" --$cProvided by publisher. 606 $aTrigonometry$xHistory 610 $aAnton von Braunmühl. 610 $aCORDIC. 610 $aChinese mathematicians. 610 $aChinese trigonometry. 610 $aEli Maor. 610 $aErasmus Reinhold. 610 $aEuler. 610 $aFourier series. 610 $aHipparchus. 610 $aJesuit mathematicians. 610 $aJesuits. 610 $aRegiomontanus. 610 $aRheticus. 610 $aSrinivasa Ramanujan. 610 $aThomas Fincke. 610 $aTrigonometric Delights. 610 $adifferential equations. 610 $agradians. 610 $ahaversines. 610 $ahistory of mathematics. 610 $ahistory of science. 610 $ahyperbolic trigonometry. 610 $alaw of tangents. 610 $amath pedagogy. 610 $amathematical analysis. 610 $amathematical education. 610 $aoscillatory phenomena. 610 $aplane astronomy. 610 $aradians. 610 $aspherical astronomy. 610 $aversines. 615 0$aTrigonometry$xHistory. 676 $a516.240903 700 $aVan Brummelen$b Glen$01086265 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910554493703321 996 $aThe doctrine of triangles$92815701 997 $aUNINA