"The Mathematics of the Heavens and the Earth" is the first
major history in English of the origins and early development of
trigonometry. Glen Van Brummelen identifies the earliest known
trigonometric precursors in ancient Egypt, Babylon, and Greece, and
he examines the revolutionary discoveries of Hipparchus, the Greek
astronomer believed to have been the first to make systematic use
of trigonometry in the second century BC while studying the motions
of the stars. The book traces trigonometry's development into a
full-fledged mathematical discipline in India and Islam; explores
its applications to such areas as geography and seafaring
navigation in the European Middle Ages and Renaissance; and shows
how trigonometry retained its ancient roots at the same time that
it became an important part of the foundation of modern
mathematics.
"The Mathematics of the Heavens and the Earth" looks at the
controversies as well, including disputes over whether Hipparchus
was indeed the father of trigonometry, whether Indian trigonometry
is original or derived from the Greeks, and the extent to which
Western science is indebted to Islamic trigonometry and astronomy.
The book also features extended excerpts of translations of
original texts, and detailed yet accessible explanations of the
mathematics in them.
No other book on trigonometry offers the historical breadth,
analytical depth, and coverage of non-Western mathematics that
readers will find in "The Mathematics of the Heavens and the
Earth."
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