Book Image

Applying Math with Python

By : Sam Morley
Book Image

Applying Math with Python

By: Sam Morley

Overview of this book

Python, one of the world's most popular programming languages, has a number of powerful packages to help you tackle complex mathematical problems in a simple and efficient way. These core capabilities help programmers pave the way for building exciting applications in various domains, such as machine learning and data science, using knowledge in the computational mathematics domain. The book teaches you how to solve problems faced in a wide variety of mathematical fields, including calculus, probability, statistics and data science, graph theory, optimization, and geometry. You'll start by developing core skills and learning about packages covered in Python’s scientific stack, including NumPy, SciPy, and Matplotlib. As you advance, you'll get to grips with more advanced topics of calculus, probability, and networks (graph theory). After you gain a solid understanding of these topics, you'll discover 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 (12 chapters)

Technical requirements

In this chapter, and throughout this book, we will use Python version 3.8, which is the most recent version of Python at the time of writing. Most of the code in this book will work on recent versions of Python from 3.6. We will use features that were introduced in Python 3.6 at various points, including f-strings. This means that you may need to change python3.8, which appears in any terminal commands to match your version of Python. This might be another version of Python, such as python3.6 or python3.7, or a more general command such as python3 or python. For the latter commands, you need to check that the version of Python is at least 3.6 by using the following command:

          python --version
        

Python has built-in numerical types and basic mathematical functions that suffice for small applications that involve only small calculations. The NumPy package provides a high performance array type and associated routines (including...