Wednesday, April 29, 2020

Abu Ja'far Muhammad ibn Musa Al-Khwarizmi

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Abu Ja'far Muhammad ibn Musa Al-Khwarizmi was born some time around the year 780 A.D. in Khwarism which is now Khiva, Uzbekistan, the exact date of his birth is unknown.


He began working with his colleagues at the House of Wisdom in Baghdad where they translated Greek manuscripts. They also studied Algebra, Geometry, and Astronomy. Since their country was run by a strict dictatorship, al-Khwarizmi devoted two of his works to the Caliph, which was what the emperor was called. The two works were descriptions on algebra and astronomy, and were called treatises.


The treatise on algebra was considered far most famous, and was called Hisab al-jabr wal-muqabala. The title of the treatise actually gives the name algebra, and was probably the first book to be written algebra. In his book he wrote out ways to solve different types of problems that the Islam people had to solve on an every day basis. Such as measuring out a plot of land and digging canals. Each chapter of the treatise was devoted to reducing a quadratic or linear equation into one of six forms. These forms are squares are equal to roots, squares are equal to numbers, roots are equal to numbers, squares and roots are equal to numbers, squares and numbers are equal to roots, and roots and numbers are equal to squares. To continue solving the problems he then used the systems of al-jabr, meaning completion, and al-muqabala meaning balance. Using his knowledge of algebra with the Hisab al-jabr w'al-muqabala he then mixed these them with arithmetic to solve a problem like, (a+bx)(c+dx).


Al-Khwarizmi goes farther into his system to find the areas of circles and the volume of spheres, cones, and pyramids. He also wrote another treatise that was named Algoritmi de numero Indorum in which the word algorithm comes from. The new treatise was based on Hindu-Arabic numerals. The Arabic version was lost somehow, but they still have a Latin translation, although the Latin translation is not a precise translation from Al-Khwarizmi's original version. The treatise used the Hindu place-value system and included the Arabic numerals 1, , , 4, 5, 6, 7, 8, , and 0. This was the first time that 0 was used as a place value.Buy Abu Ja'far Muhammad ibn Musa Al-Khwarizmi term paper


Al-Khwarizmi also wrote treatise on astrology, which was basically a calendar that calculated the precise location of the sun, moon, and planets, calculations of eclipses and many more astrological calculations. This was called the Sindhind zij.


Al-Khwarizmi did many more works in his career. Most people consider Al-Khwarizmi's algebraic works the, "cornerstone" of the sciences. He created the oldest works on algebra and arithmetic, and set the pace for many more mathematical discoveries for years to come.


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