Book Image

The Statistics and Calculus with Python Workshop

By : Peter Farrell, Alvaro Fuentes, Ajinkya Sudhir Kolhe, Quan Nguyen, Alexander Joseph Sarver, Marios Tsatsos
5 (1)
Book Image

The Statistics and Calculus with Python Workshop

5 (1)
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

Trigonometry

Trigonometry is about studying triangles and, in particular, the relation of their angles to their edges. The ratio of two of the three edges (sides) of a triangle gives information about a particular angle, and to such a pair of sides, we give it a certain name and call it a function. The beauty of trigonometry and mathematics in general is that these functions, which are born inside a triangle, make (abstract) sense in any other situation where triangles are not present and operate as independent mathematical objects. Hence, functions such as the tangent, cosine, and sine are found across most fields of mathematics, physics, and engineering without any reference to the triangle.

Let's look at the most fundamental trigonometric functions and their usage.

Basic Trigonometric Functions

We will start by defining a right-angled triangle (or simply a right triangle), triangle ABC. One of its angles (the angle BCA in the following diagram) is a right angle, that...