## Al-Khwarizmi

### Who is Al-Khwarizmi?

Abū ʿAbdallāh Muḥammad ibn Mūsā al-Khwārizmi (Arabic: عَبْدَالله مُحَمَّد بِن مُوسَى اَلْخْوَارِزْمِي‎), earlier transliterated as Algoritmi or Algaurizin,  was a Persian mathematician, astronomer and geographer during the Abbasid Empire, a scholar in the House of Wisdom in Baghdad. The word al-Khwarizmi is pronounced in classical Arabic as Al-Khwarithmi hence the Latin transliteration.

Source: http://en.wikipedia.org/wiki/Mu%E1%B8%A5ammad_ibn_M%C5%ABs%C4%81_al-Khw%C4%81rizm%C4%AB#Contributions

### What are his contribution?

1. Algebra
2. Arithmetic
3. Astronomy
4. Trigonometry
5. Geography
6. Jewish Calendar

Source: http://en.wikipedia.org/wiki/Mu%E1%B8%A5ammad_ibn_M%C5%ABs%C4%81_al-Khw%C4%81rizm%C4%AB#Contributions

## Algebra

### Origin/History

The roots of algebra can be traced to the ancient babylonians, who developed an advanced arithmetical system with which they were able to do calculations in an  fashion.
The word algebra comes from the Arabic language (الجبر al-jabr "restoration") and much of its methods from Arabic/Islamic mathematics. Earlier traditions discussed above had a direct influence on Muhammad ibn Mūsā al-Khwārizmī (c. 780–850). He later wrote The Compendious Book on Calculation by Completion and Balancing, which established algebra as a mathematical discipline that is independent of geometry and arithmetic.

### Application

One of the primary uses of equations in algebra is to model and solve application problems. In
fact, much of the remainder of this book is based on the application of algebra to real-world
situations. The purpose of this section is to introduce the use of variables in equations as a
method of solving applications, and to familiarize you with some of the common applications in
algebra.