# 820

## Algebra

## The book of science

Tom Sharp

Tom Sharp

Muḥammad ibn Mūsā al-Khwārizmī mathematics |

- Considering only positive numbers,
- al-Khwārizmī divided linear and quadratic equations
- into six basic types and showed how to solve them.
- Although his book was likely a compendium
- of existing knowledge, it stands as the first work
- to feature a strictly algebraic mathematical approach
- so that Latin translations of it in the 12th century
- introduced to the West not only the math but the terms
*algebra*and, based on al-Khwārizmī’s name,*algorithm.*

- The
*al-ğabr*operation - is moving a negative quantity on one side of the equation
- to a positive quantity on the other side.
- This restores negative quantities
- which Islamic mathematicians
- at the time
- did not find useful.
- The
*al-Muqabala*operation - is subtracting the same positive quantity from both sides.
- This balancing or corresponding act
- reduces the equation to the fewest terms.

- Let
*x*be an unknown quantity - of a variable thing,
- unlike the
*E*in*E*=*m**c*^{2}. - When I say
*x,*I mean - anything that’s consistent,
- not necessarily energy.
- Let
*x*=*f(y),*where *f*is an arbitrary function- that depends on a variable
*y.* - Our function could return an interest,
- the return on a bond,
- or the percentage of profit.
- In fact, it could be
- any useful operation, anything
- that’s smart and practical.
- Now, indeed, we
- are moving to a higher order
- of math and intellect.

Unfamiliarity with the notation can make a person feel as though a mathematical topic is beyond their intellectual powers when it is not.

See also in

The book of science:Zero—BrahmaguptaNumber system—Leonardo Pisano Bigollo (Fibonacci)Readings on wikipedia:

The Compendious Book on Calculation by Completion and Balancing”