This document discusses numerical methods for finding roots of equations including bisection, false position, and Newton-Raphson methods. It derives the formulas, provides algorithms, and compares bracketing versus open methods as well as bisection versus false position.

1.  types of errors in numerical methods
 deriving formula for bisection / false position /
Newton-Raphson method
 algorithm for bisection / false position / Newton-
Raphson method
 comparison of bracketing vs open / bisection vs false
position method