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)

Working with polynomials and calculus

Polynomials are among the simplest functions in mathematics and are defined as a sum:

Here, represents a placeholder to be substituted (an indeterminate), and is a number. Since polynomials are simple, they provide an excellent means for a brief introduction to calculus.

In this recipe, we will define a simple class that represents a polynomial and write methods for this class to perform differentiation and integration.

Getting ready

There are no additional packages required for this recipe.

How to do it...

The following steps describe how to create a class representing a polynomial, and implement differentiation and integration methods for this class:

  1. Let’s start by defining a simple class to represent a polynomial:
    class Polynomial:
        """Basic polynomial class"""
        def __init__(self, coeffs):
        ...