Arab Mathematics

# Arab Mathematics - absolute numbers He notes six different...

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Dirir Abdullahi

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This map shows where this math was developed
Lets start with Al-Kwarizmi sometimes called the  ``Father of Algebra'' Al-Khwarizmi  most important work  Hisab al-jabr  w'al-muqabala  written in 830 gives us the word  algebra . This treatise classifies the solution of  quadratic equations and gives geometric methods  for completing the square. No symbols are used and  no negative or zero coefficients were allowed.

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Al-Khwarizmi  then establishes geometric proofs for the same solutions of these  quadratics. However, the proofs are more in the Babylonnian style.  He dealt with three types of quantities: the  square  of a number, the  root  of the  square (i.e. the unknown), and

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Unformatted text preview: absolute numbers. He notes six different types of quadratics: The reason: no negative numbers -- no non-positive solutions He then solves the equation using essentially a rhetorical form for the quadratic equation. Again note: he considers examples only. There are no ``general" solutons. . On the board give an example of Al-Kwarzimi Algebra use. This is a picture of the “father of algebra” Abu Bakr al-Karaji ( al-Karkhi) early 11 century) Gave numerical solution to equations of the form He proved: Don Allen . Arab Contributions. Thu Mar 6 09:44:30 CST 1997 . http://www.math.tamu.edu/~dallen/history/arab/arab.html...
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Arab Mathematics - absolute numbers He notes six different...

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