 Maths in the arab world introduction

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 tarix 17.11.2018 ölçüsü 1,39 Mb. #80167 • Library of Alexandria House of Wisdom(“Beit al Hinka”) • Aristotle, Apollonius, Archimedes, Heron, Diophantus and Indian writers.  • Al-Khawaritzmi or al-Khowarizmi • Travels: Afghanistan, Turkey, Russia... Main works Maths, Astronomy, Astrology, Geography and History • Reduction of the equations to one of six standard forms (b,c >0) :

• squares equal roots (ax2 = bx)
• squares equal number (ax2 = c)
• roots equal number (bx = c)
• squares and roots equal number (ax2 + bx = c)
• squares and number equal roots (ax2 + c = bx)
• roots and number equal squares (bx + c = ax2) • Solve the equation x2+6x=7 • (Latin translation)

• numerical system
• India
• zero • Different number systems were used simultaneously in the Arabic world over a long period of time. There were three different types of arithmetic (11th century):

• counting on the fingers with the numerals written entirely in words
• the sexagesimal system with numerals denoted by letters of the Arabic alphabet
• the arithmetic of the Indian numerals • The biggest change was the fact that the 2 and the 3 have been rotated through 90º. • The scribes therefore, instead of writing from right to left (the standard way that Arabic was written) wrote in lines from top to bottom. • al-Banna al-Marrakushi (beginning of the 14th century) • If p is prime then 1+(p-1)! is divisible by p. • The Arabs start their study with the idea of the Greeks and the idea of Hindus.At the end, they prefer the idea of the Hindus. Yüklə 1,39 Mb.

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