Spherical trigonometry was at the heart of astronomy and
ocean-going navigation for two millennia. The discipline was a
mainstay of mathematics education for centuries, and it was a
standard subject in high schools until the 1950s. Today, however,
it is rarely taught. "Heavenly Mathematics" traces the rich history
of this forgotten art, revealing how the cultures of classical
Greece, medieval Islam, and the modern West used spherical
trigonometry to chart the heavens and the Earth. 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 for its elegant proofs
and often surprising conclusions.
"Heavenly Mathematics" is illustrated throughout with stunning
historical images and informative drawings and diagrams that have
been used to teach the subject in the past. This unique compendium
also features easy-to-use appendixes as well as exercises at the
end of each chapter that originally appeared in textbooks from the
eighteenth to the early twentieth centuries.
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