Book Image

The Statistics and Calculus with Python Workshop

By : Peter Farrell, Alvaro Fuentes, Ajinkya Sudhir Kolhe, Quan Nguyen, Alexander Joseph Sarver, Marios Tsatsos
Book Image

The Statistics and Calculus with Python Workshop

By: Peter Farrell, Alvaro Fuentes, Ajinkya Sudhir Kolhe, Quan Nguyen, Alexander Joseph Sarver, Marios Tsatsos

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.
Table of Contents (14 chapters)
Preface

Infinite Series

Mathematicians have often run into functions that are too complicated for them to solve or otherwise deal with, and approximations have always been an important component in doing math. For mathematicians trying to take derivatives and integrals algebraically, many expressions have no nice neat solutions, derivatives, integrals, and so on. In general, no differential equations that scientists come across in real life have algebraic solutions, so they have to use other methods. More on differential equations later, but there's an important family of approximations that use easy functions to approximate hard ones.

Polynomial Functions

It's easy to solve, differentiate, and integrate polynomial equations—ones such as y = x2 and even the following equation:

Figure 11.28: A polynomial equation

The terms are all added (or subtracted) one after the other, and there are no trigonometric, logarithmic, or exponential functions involved...