# 1 Root Finding

## Intro

We mainly focus on single variable with a single equation. We are interested in $$f(x^{*}) = 0$$ or equivalently $$g(x) = x$$ because $$f(x) = g(x) - x = 0$$.

What if there are multiple variables? Is there a reduction algorithm? Or just linear algebra? How to do an efficient brute force to find all roots?

## Backstory

Intermediate Value Theorem

Taylor Theorem

## Newton's Method

## Secant Method

## Iterative Method

## Bisection Method

20 pomo later
