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Heavenly mathematics [[electronic resource] ] : the forgotten art of spherical trigonometry / / Glen Van Brummelen



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Autore: Van Brummelen Glen Visualizza persona
Titolo: Heavenly mathematics [[electronic resource] ] : the forgotten art of spherical trigonometry / / Glen Van Brummelen Visualizza cluster
Pubblicazione: Princeton, : Princeton University Press, c2013
Edizione: Course Book
Descrizione fisica: 1 online resource (217 p.)
Disciplina: 516.24
Soggetto topico: Spherical trigonometry
Trigonometry
Soggetto non controllato: Abū 'l-Wafā
Abū Mahmūd al-Khujandī
Abū Nasr Mansūr ibn 'Alī ibn 'Irāq
Abū Sahl al-Kūhī
Albert Girard
B. M. Brown
Cesàro method
Christopher Columbus
Claudius Ptolemy
Earth
Elements
Georg Rheticus
Giuseppe Cesàro
Hipparchus of Rhodes
Islam
Islamic religious rituals
John Harrison
John Napier
Law of Cosines
Law of Sines
Leonhard Euler
Mathematical Collection
Mecca
Menelaus of Alexandria
Menelaus's Theorem
Moon
Napier's Rules
Opus palatinum
Planisphere
Ptolemy
Pythagorean Theorem
Rule of Four Quantities
Sphaerica
Sun
acute-angled triangle
angle
area
astrolabe
astronomical triangle
astronomy
cartography
celestial motion
celestial sphere
chronometer
classical Greece
dead reckoning
ecliptic
equatorial coordinates
geography
locality principle
logarithms
marteloio
mathematics
method of Saint Hilaire
navigation
oblique triangle
pentagramma mirificum
planar Law of Sines
plane trigonometry
planets
polygon
polyhedron
qibla
regular polyhedron
right-angled triangle
rising time
sphere
spherical Law of Sines
spherical astronomy
spherical geometry
spherical triangle
spherical trigonometry
star
stars
stereographic projection
table of sine
theorems
triangle
trigonometric table
trigonometry
Classificazione: SN 100
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Heavenly mathematics  Visualizza cluster
ISBN: 1-299-05125-1
1-4008-4480-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910786023403321
Lo trovi qui: Univ. Federico II
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