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.
