Diophantus of Alexandria introduces an algebraic symbolism …

Years: 256 - 267

Diophantus of Alexandria introduces an algebraic symbolism that uses an abbreviation for the unknown.

He is the first Hellenistic mathematician to frankly recognize fractions as numbers.

In his influential work on the theory of numbers, called Arithmetica, he presents a collection of problems giving numerical solutions of determinate equations (those with a unique solution), and indeterminate equations. (The method for solving the latter comes to be known as Diophantine analysis.)

Diophantus determines general solutions to equations in several unknowns, such as x(2) + y(2) = z(2)—where solutions can be determined by x = 2pq; y = p(2) - q(2); z = p(2) + q(2).

The solutions to higher-order Diophantine equations prove to be more elusive, however, and will remain so for centuries.

The findings and works of Diophantus will influence mathematics greatly and cause many other questions to arise, of which the most famous is Fermat's Last Theorem.

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