# Chapter 13: Solving Equations

##

## Introduction

We construct four iterative methods for solving an equation f(x) = 0. They are: Newton's method, in which we go from the old point to the new by finding where the linear approximation to f at the old is zero; poor man's Newton which is the same except we approximate the slope in the linear approximation, and two interpolative methods.
We also raise the problem of solving two simultaneous equations in two dimensions.

## Topics

13.0 Solving an Equation in One Variable

13.1 Newton's Method

13.2 Poor Man's Newton

13.3 Another Linear Method

13.4 Divide and Conquer

13.5 Solving Two General Equations in Two Variables