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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

# Summary

Calculus is a very powerful set of tools for modeling real situations, from the transfer of heat to the motion of planets. It has enabled us to calculate the rate of change of a function in an instant and the area under complicated curves (tasks that seemed impossible using only the tools of algebra and geometry). In this chapter, we've been able to deal with the rate of change of a value (the derivative) as a value in itself, and we've calculated some very accurate results using Python loops and functions. Modeling situations that lead to differential equations, such as the paths of projectiles, was what drove the development of the first electronic computers.

Math classes may still emphasize algebraic solutions to equations, even differential equations, but as we've seen in this chapter, using a computer is a straightforward way to model a real-life situation such as a predator pursuing its prey. We changed variables such as the amount of money in an investment...