Book Image

Applying Math with Python - Second Edition

By : Sam Morley
Book Image

Applying Math with Python - Second Edition

By: Sam Morley

Overview of this book

The updated edition of Applying Math with Python will help you solve complex problems in a wide variety of mathematical fields in simple and efficient ways. Old recipes have been revised for new libraries and several recipes have been added to demonstrate new tools such as JAX. You'll start by refreshing your knowledge of several core mathematical fields and learn about packages covered in Python's scientific stack, including NumPy, SciPy, and Matplotlib. As you progress, you'll gradually get to grips with more advanced topics of calculus, probability, and networks (graph theory). Once you’ve developed a solid base in these topics, you’ll have the confidence to set out on math adventures with Python as you explore Python's applications in data science and statistics, forecasting, geometry, and optimization. The final chapters will take you through a collection of miscellaneous problems, including working with specific data formats and accelerating code. By the end of this book, you'll have an arsenal of practical coding solutions that can be used and modified to solve a wide range of practical problems in computational mathematics and data science.
Table of Contents (13 chapters)

Finding interior points

One problem with working with two-dimensional figures in a programming environment is that you can’t possibly store all the points that lie within the figure. Instead, we usually store far fewer points that represent the figure in some way. In most cases, this will be a number of points (connected by lines) that describe the boundary of the figure. This is efficient in terms of memory and makes it easy to visualize them on screen using Matplotlib patches, for example. However, this approach makes it more difficult to determine whether a point or another figure lies within a given figure. This is a crucial question in many geometric problems.

In this recipe, we will learn how to represent geometric figures and determine whether a point lies within a figure or not.

Getting ready

For this recipe, we will need to import the matplotlib package (as a whole) as mpl and the pyplot module as plt:

import matplotlib as mpl
import matplotlib.pyplot as...