The Python math Module: Everything You Need to Know

The Python math Module: Everything You Need to Know

by Lahiru Liyanapathirana intermediate python
Share Share Email
Remove ads

Watch Now This tutorial has a related video course created by the Real Python team. Watch it together with the written tutorial to deepen your understanding: Exploring the Python math Module

In this article, you’ll learn all about Python’s math module. Mathematical calculations are an essential part of most Python development. Whether you’re working on a scientific project, a financial application, or any other type of programming endeavor, you just can’t escape the need for math.

For straightforward mathematical calculations in Python, you can use the built-in mathematical operators, such as addition (+), subtraction (-), division (/), and multiplication (*). But more advanced operations, such as exponential, logarithmic, trigonometric, or power functions, are not built in. Does that mean you need to implement all of these functions from scratch?

Fortunately, no. Python provides a module specifically designed for higher-level mathematical operations: the math module.

By the end of this article, you’ll learn:

  • What the Python math module is
  • How to use math module functions to solve real-life problems
  • What the constants of the math module are, including pi, tau, and Euler’s number
  • What the differences between built-in functions and math functions are
  • What the differences between math, cmath, and NumPy are

A background in mathematics will be helpful here, but don’t worry if math isn’t your strong suit. This article will explain the basics of everything you need to know.

So let’s get started!

Getting to Know the Python math Module

The Python math module is an important feature designed to deal with mathematical operations. It comes packaged with the standard Python release and has been there from the beginning. Most of the math module’s functions are thin wrappers around the C platform’s mathematical functions. Since its underlying functions are written in CPython, the math module is efficient and conforms to the C standard.

The Python math module offers you the ability to perform common and useful mathematical calculations within your application. Here are a few practical uses for the math module:

  • Calculating combinations and permutations using factorials
  • Calculating the height of a pole using trigonometric functions
  • Calculating radioactive decay using the exponential function
  • Calculating the curve of a suspension bridge using hyperbolic functions
  • Solving quadratic equations
  • Simulating periodic functions, such as sound and light waves, using trigonometric functions

Since the math module comes packaged with the Python release, you don’t have to install it separately. Using it is just a matter of importing the module:

Python 
>>> import math

You can import the Python math module using the above command. After importing, you can use it straightaway.

Constants of the math Module

The Python math module offers a variety of predefined constants. Having access to these constants provides several advantages. For one, you don’t have to manually hardcode them into your application, which saves you a lot of time. Plus, they provide consistency throughout your code. The module includes several famous mathematical constants and important values:

  • Pi
  • Tau
  • Euler’s number
  • Infinity
  • Not a number (NaN)

In this section, you’ll learn about the constants and how to use them in your Python code.

Pi

Pi (π) is the ratio of a circle’s circumference (c) to its diameter (d):

π = c/d

This ratio is always the same for any circle.

Pi is an irrational number, which means it can’t be expressed as a simple fraction. Therefore, pi has an infinite number of decimal places, but it can be approximated as 22/7, or 3.141.

You can access pi as follows:

Python 
>>> math.pi
3.141592653589793

As you can see, the pi value is given to fifteen decimal places in Python. The number of digits provided depends on the underlying C compiler. Python prints the first fifteen digits by default, and math.pi always returns a float value.

So what are some of the ways that pi can be useful to you? You can calculate the circumference of a circle using 2πr, where r is the radius of the circle:

Python 
>>> r = 3
>>> circumference = 2 * math.pi * r
>>> f"Circumference of a Circle = 2 * {math.pi:.4} * {r}