History of Algebra



1700 B.C. - 1600 B.C.

They solve quadratic equations by using the method of completing the square.

Diophantus of Alexandria

200 A.D. - 300 A.D

Begins replacing mathematical statements with symbols.


598 A.D. - 665 A.D.

Replaced unknown values with letters.


598 A.D. - 665 A.D.

discovered how to solve system of equations.

Muhammad Ibn Musa Al-Khwarizmi

780 A.D. - 850 A.D.

Writes about the first explanation on solving equations and why we do the same operation on both sides.

Girolamo Cardano

1501 A.D. - 1576 A.D.

Gave the solutions to quadratic equations and cubic equations.


1707 A.D. - 1783 A.D.

Write the book, Elements of Algebra

Carl Friedrich Gauss

1777 A.D. - 1855 A.D.

Proved the Fundamental Theorem of Algebra

Amalie Noether

1883 A.D. - 1935 A.D.

Makes discovery on noncommutative algebra.