LEADER 03286nam 2200673 a 450 001 9910463091703321 005 20200520144314.0 010 $a1-299-05125-1 010 $a1-4008-4480-0 024 7 $a10.1515/9781400844807 035 $a(CKB)2670000000329078 035 $a(EBL)1077324 035 $a(OCoLC)825071220$z(OCoLC)845247310 035 $a(SSID)ssj0000783430 035 $a(PQKBManifestationID)11418597 035 $a(PQKBTitleCode)TC0000783430 035 $a(PQKBWorkID)10760172 035 $a(PQKB)10802785 035 $a(MiAaPQ)EBC1077324 035 $a(DE-B1597)453870 035 $a(OCoLC)979726743 035 $a(DE-B1597)9781400844807 035 $a(PPN)199245088$9sudoc 035 $a(PPN)187960267 035 $a(Au-PeEL)EBL1077324 035 $a(CaPaEBR)ebr10634616 035 $a(CaONFJC)MIL436375 035 $a(OCoLC)845247310 035 $a(EXLCZ)992670000000329078 100 $a20120727d2013 uy 0 101 0 $aeng 135 $aurunu||||| 181 $ctxt 182 $cc 183 $acr 200 10$aHeavenly mathematics$b[electronic resource] $ethe forgotten art of spherical trigonometry /$fGlen Van Brummelen 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$dc2013 215 $a1 online resource (217 p.) 300 $aDescription based upon print version of record. 311 $a0-691-17599-3 311 $a0-691-14892-9 320 $aIncludes bibliographical references and index. 327 $aHeavenly mathematics -- Exploring the sphere -- The ancient approach -- The medieval approach -- The modern approach: right-angled triangles -- The modern approach: oblique triangles -- Areas, angles, and polyhedra -- Stereographic projection -- Navigation. 330 $aHeavenly Mathematics traces the rich history of spherical trigonometry, revealing how the cultures of classical Greece, medieval Islam, and the modern West used this forgotten art to chart the heavens and the Earth. Once at the heart of astronomy and ocean-going navigation for two millennia, the discipline was also a mainstay of mathematics education for centuries and taught widely until the 1950's. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation of its elegant proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams. This unique compendium also features easy-to-use appendixes as well as exercises that originally appeared in textbooks from the eighteenth to the early twentieth centuries. 606 $aSpherical trigonometry 606 $aTrigonometry 608 $aElectronic books. 615 0$aSpherical trigonometry. 615 0$aTrigonometry. 676 $a516.24 700 $aVan Brummelen$b Glen$01049927 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910463091703321 996 $aHeavenly mathematics$92479314 997 $aUNINA