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#### Overview of this book

Are you looking to start developing artificial intelligence applications? Do you need a refresher on key mathematical concepts? Full of engaging practical exercises, The Statistics and Calculus with Python Workshop will show you how to apply your understanding of advanced mathematics in the context of Python. The book begins by giving you a high-level overview of the libraries you'll use while performing statistics with Python. As you progress, you'll perform various mathematical tasks using the Python programming language, such as solving algebraic functions with Python starting with basic functions, and then working through transformations and solving equations. Later chapters in the book will cover statistics and calculus concepts and how to use them to solve problems and gain useful insights. Finally, you'll study differential equations with an emphasis on numerical methods and learn about algorithms that directly calculate values of functions. By the end of this book, you’ll have learned how to apply essential statistics and calculus concepts to develop robust Python applications that solve business challenges.
Preface
1. Fundamentals of Python
Free Chapter
2. Python's Main Tools for Statistics
3. Python's Statistical Toolbox
4. Functions and Algebra with Python
5. More Mathematics with Python
6. Matrices and Markov Chains with Python
7. Doing Basic Statistics with Python
8. Foundational Probability Concepts and Their Applications
9. Intermediate Statistics with Python
10. Foundational Calculus with Python
11. More Calculus with Python
12. Intermediate Calculus with Python

# 4. Functions and Algebra with Python

Overview

Throughout the previous chapter, we discussed a plethora of statistics-related topics, including variables, descriptive statistics, and inference. In this chapter, we come back to the general topic of mathematics and examine two of its most fundamental components: functions and algebra. These topics will be introduced and theoretically discussed in parallel with their respective implementations in Python. Knowledge of these topics will allow you to tackle some of the most common real-life problems that can be solved using mathematics and programming, which we will see an example of in the final activity of this chapter.

By the end of this chapter, you will have a firm grasp on the concept of mathematical functions and relevant notions such as domain, range, and graphing. Additionally, you will learn how to solve algebraic equations or systems of equations by hand as well as via Python programming.