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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

Math students often complain that there's no real-world application for the kinds of problems arising in algebra and geometry, such as factoring polynomials or bisecting angles, but the same can't be said for differential equations. Using the tools, you'll learn about in this chapter, you will be able to model and solve real-life problems in physics, electronics, and engineering with differential equations. Python is the perfect tool for mathematicians and scientists who want to be able to crunch numbers and solve problems but don't want to have to get another degree in computer science to do so. Python is one of the most popular programming languages due to its ease of use and lack of unnecessary abstraction.

By the 1600s, mathematicians had modeled the motion of falling objects with mathematical equations and had set their sights on the planets in outer space. Newton modeled their motion and the equations he came up with referred not only to unknown...