· Number Zero
· Arabic Numbers
· Al Khawarizmi’s Work on Algebra
· Determining roots of Quadratic Equations
· Sine and Cosine Tables
· Cubic Equations
· Work of Banu Musa on Geometry
The symbols used today for numbers in the West are derived from the Arabic symbols. Algebra was made exact science by Muslims. Al Khwarizmi named his book dealing with this subject al Al Kitab al Mukhtsur fi Hisab al-Jabr wa al Muqabala ( The Book of Rstitution and Comparison) Algorithm was derived from his work. He wrote an encyclopedic work dealing with arithmetic, geometry, music and astronomy.
Abu Said al- Darir al Jurajani ( d 845) who was Muslim Astronomer and Mathematician , wrote on geometrical problem.
Umar ibn Ibrahim Al Khayyam was one of greatest Muslim Mathematicians and astronomer of Middle Ages. He discussed cubic equations. Another mathematician and geographer was Al Hassan ibn Ali al Murrakushi, who flourished until 1262 CE. He wrote various works on astronomy, which was put to practical use in astronomical instruments and methods. Also, Abu al Abbas Ahmad ibn Muhammad ibn Uthman al Azadi , a very popular Muslim writer authored 74 works that dealt with mathematics and astronomy.