# Algebra

### When and How?

## Diophantus 200-300 A.D.

- "The Father of Algebra"
- Negative and Irrational numbers did not exist
- Author of "Arithmetica," which was a series of books containing equations with one solution or many solutions
- Known for introducing mathematical notations into symbols
- Only proposed solutions to exact problems, but not general solutions

Arthur Benjamin: The magic of Fibonacci numbers

## Rene Descartes 17th Century

- Accomplishments were in analytical geometry
- This allowed algebraic formulas to be visualized
- Developed a coordinate plane to locate points on a Cartesian plane
- The development of the coordinate plane was crucial to breakthroughs in the development of physics and calculus as well

## Carl Gauss 18th Century

- Made contributions to many mathematical fields
- Main contributions involved in work with complex numbers
- Developed the fundamental theorem of algebra, which says, "Every non-constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a complex number with an imaginary part equal to zero.

## Algebra In The Classroom

SC State Department of Education includes standards on:

- linear functions
- arithmetic sequences
- Geometry
- Functions