# Computational Mathematics KNEC Notes

## INTRODUCT ION TO COMPUTATIONAL MATHEM ATICS

Equations
In mathematics an equation is an expression of the shape A = B, where A and B are expressions containing one or several variables called unknowns.
An algebraic equation or polynomial equation is an equation in which both sides are polynomials
A system of polynomial equations is a set of simultaneous equations f1 = 0, …, fh = 0 where the fi are polynomials in several variables, say x1, …, xn, over some field k.

Algebraic equation
Mathematical statement of equality between algebraic expressions. An expression is algebraic if it involves a finite combination of numbers and variables and algebraic operations (addition, subtraction, multiplication, division, raising to a power, and extracting a root). Two important types of such equations are linear equations, in the form y = ax + b, and quadratic equations, in the form y = ax2 + bx + c. A solution is a numerical value that makes the equation a true statement when substituted for a variable. In some cases it may be found using a formula; in others the equation may be rewritten in simpler form.

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