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Heavenly Mathematics

The Forgotten Art of Spherical Trigonometry

Glen Van Brummelen

EPUB
ca. 21,99
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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Geometrie

Beschreibung

An unparalleled illustrated history of spherical trigonometry from antiquity to today

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 1950s. 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.

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Schlagwörter

Polyhedron, Circle of latitude, Declination, Calculation, Line segment, Semicircle, Logarithm, Menelaus' theorem, Analogy, Significant figures, Stellarium, Earth, Azimuth, Textbook, Year, Pythagorean theorem, Diagram (category theory), Writing, Hypotenuse, Scientist, Mean anomaly, Astronomer, Tetrahedron, Calendar year, True anomaly, Addition, Diagram, Equation, Spherical trigonometry, Non-Euclidean geometry, Inference, Longitude, Astronomical unit, Astronomy, Summation, Result, Trigonometry, Rectangle, Equatorial coordinate system, Subtraction, Great circle, Quantity, Regular polyhedron, Euclid's Elements, Lunar distance (astronomy), Celestial equator, Right angle, Right triangle, Mathematics, Antipodal point, Diameter, Position of the Sun, Trigonometric functions, Stereographic projection, Celestial navigation, Celestial sphere, Euler's formula, Right ascension, Planetarium software, Theorem, Clockwise, Measurement, Spherical astronomy, Armillary sphere, Trigonometric tables, Inverse trigonometric functions, Geometry, Approximation, Iteration, Geographic coordinate system