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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

# Introduction

Python has enjoyed an unprecedented increase in popularity and usage in recent years, especially in mathematics, which is the main topic of this chapter. However, before we delve into the advanced topics in mathematics, we will need to solidify our understanding of the fundamentals of the language.

This chapter will offer a refresher on the general concepts of Python; the topics covered will allow you to be in the best position for later discussions in this book. Specifically, we will be reviewing elementary concepts in general programming such as conditionals and loops, as well as Python-specific data structures such as lists and dictionaries. We will also discuss functions and the algorithm design process, which is an important part in any medium or large Python project that includes mathematics-related programs. All of this will be done through hands-on exercises and activities.

By the end of this chapter, you will be well positioned to tackle more complex, interesting...