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)

Visualizing two-dimensional geometric shapes

The focus of this chapter is on two-dimensional geometry, so our first task is to learn how to visualize two-dimensional geometric figures. Some of the techniques and tools mentioned here might apply to three-dimensional geometric figures, but generally, this will require more specialized packages and tools. The first method for plotting a region on the plane might be to pick a selection of points around the boundary and plot these with the usual tools. However, this is generally going to be inefficient. Instead, we’re going to implement Matplotlib patches that make use of efficient representations of these figures – in this recipe, the center and radius of a circle (disk) – that Matplotlib can fill efficiently on a plot.

A geometric figure, at least in the context of this book, is any point, line, curve, or closed region (including the boundary) whose boundary is a collection of lines and curves. Simple examples...