## Advanced mathematical algorithms with SciPy

In this section, we will cover some of the algorithms available in `SciPy`

. Each of the following subsections features a representative example from a significant area of applied science. The examples are chosen so as not to require extensive domain knowledge but still be realistic. These are the topics and examples that we present:

**Solving equations and finding optimal values**: We will study a market model that requires the solution of a nonlinear system and a facility location problem requiring a nonstandard optimization.

**Calculus and differential equations**: We will present a volume calculation that uses integral calculus, and **Newton's canon**, a thought experiment proposed by Isaac Newton, which we will model using a system of differential equations. Finally, we will present a three-dimensional system, the famous Lorenz equations, which is an early example displaying chaotic behavior.

### Solving equations and finding optimal values

To illustrate this...