Al KhwarizmiAl Khwarizmi

BY FERNANDO PASCUAL, JOSE A. RODRIGUEZ BY FERNANDO PASCUAL, JOSE A. RODRIGUEZ Y JULIO ORTIZY JULIO ORTIZ

His lifeHis lifeAbu Abdallah Mu ammad ibn Mūsā al-Jwārizmī (Abu Yāffar) ḥAbu Abdallah Mu ammad ibn Mūsā al-Jwārizmī (Abu Yāffar) ḥ

(( جعفر ابو الخوارزمي موسى بن محمد ا عبد جعفر أبو ابو الخوارزمي موسى بن محمد ا عبد أبو knowed as ,( knowed as ,(al-Khwarizmi, was a mathemathician, astronoomist and al-Khwarizmi, was a mathemathician, astronoomist and geografic; that lived between 780 and 850.geografic; that lived between 780 and 850.

The day of his birth is unknow, he was bornt in Jiva The day of his birth is unknow, he was bornt in Jiva (Uzbekistán). He studied and worked in Bagdad, with the (Uzbekistán). He studied and worked in Bagdad, with the califa al-Mamun. For many people, he was the best califa al-Mamun. For many people, he was the best mathemathic if the this age.mathemathic if the this age.

He wrote "Hisāb al-ŷabr wa'l muqābala",(He wrote "Hisāb al-ŷabr wa'l muqābala",( المقابلة و الجبر المقابلة حساب و الجبر ) ) حسابa book in that he made the bases os our words: álgebra, a book in that he made the bases os our words: álgebra, guarismo and algoritmo. He is considerated as the pather of guarismo and algoritmo. He is considerated as the pather of the algebra and our numerical system.the algebra and our numerical system.

His LifeHis Life

His advances at algebraHis advances at algebra

In his treatise on algebra, eminently didactic work, is to teach an algebra applied to solving everyday problems of the Islamic empire of the time

A unit for him was a number, a square root was x and a square x2

First reduces an equation to one of six standard forms:Squares equal to roots.Squares equal to numbers.Roots equal to numbers.Squares and roots equal to numbers, for example x2 + 10x = 39Squares and numbers equal to roots, for example x2 + 21 = 10xRoots and numbers equal to squares, for example 3x + 4 = x2

The Square ProblemThe Square Problem

Al-Khwarizmi starts with a square of side x, which therefore represents x2 (Figure 1). To the square we must add 10x and this is done by adding four rectangles each of breadth 10/4 and length x to the square (Figure 2). Figure 2 has area x2 + 10 x which is equal to 39. We now complete the square by adding the four little squares each of area 5/2 × 5/2 = 25/4. Hence the outside square in Fig 3 has area 4 × 25/4 + 39 = 25 + 39 = 64. The side of the square is therefore 8. But the side is of length 5/2 + x + 5/2 so x + 5 = 8, giving x = 3.

His advances in other sciencesHis advances in other sciences

Arihmetic:Arihmetic:

He was the first matematician to use zero as indicator positional. It was important to the numbering system of the arab world.

Astronomy:Astronomy:

He was based in indian astronomical works as calculating true positions of the sun, moon and other planets. He also studied eclipses and visibility of the moon.

THAT'S ALL, THAT'S ALL, THANK YOU THANK YOU FOR YOUR FOR YOUR

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