03752nam 2200841 a 450 991097493220332120251104115317.0978129905125612990512519781400844807140084480010.1515/9781400844807(CKB)2670000000329078(EBL)1077324(OCoLC)825071220(OCoLC)845247310(SSID)ssj0000783430(PQKBManifestationID)11418597(PQKBTitleCode)TC0000783430(PQKBWorkID)10760172(PQKB)10802785(DE-B1597)453870(OCoLC)979726743(DE-B1597)9781400844807(Au-PeEL)EBL1077324(CaPaEBR)ebr10634616(CaONFJC)MIL436375(OCoLC)845247310(PPN)199245088(PPN)187960267(FR-PaCSA)88838086(MiAaPQ)EBC1077324(Perlego)735672(FRCYB88838086)88838086(EXLCZ)99267000000032907820120727d2013 uy 0engurunu|||||txtccrHeavenly mathematics the forgotten art of spherical trigonometry /Glen Van BrummelenCourse BookPrinceton Princeton University Pressc20131 online resource (217 p.)Description based upon print version of record.9780691175997 0691175993 9780691148922 0691148929 Includes bibliographical references and index.Heavenly 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.Heavenly 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.Spherical trigonometryTrigonometryTrigonometriathubTrigonometria esfèricathubHistòria de la matemàticathubLlibres electrònicsthubSpherical trigonometry.Trigonometry.TrigonometriaTrigonometria esfèricaHistòria de la matemàtica516.24SN 100rvkVan Brummelen Glen1086265MiAaPQMiAaPQMiAaPQBOOK9910974932203321Heavenly mathematics4336659UNINA