Book Image

Applying Math with Python

By : Sam Morley
Book Image

Applying Math with Python

By: Sam Morley

Overview of this book

Python, one of the world's most popular programming languages, has a number of powerful packages to help you tackle complex mathematical problems in a simple and efficient way. These core capabilities help programmers pave the way for building exciting applications in various domains, such as machine learning and data science, using knowledge in the computational mathematics domain. The book teaches you how to solve problems faced in a wide variety of mathematical fields, including calculus, probability, statistics and data science, graph theory, optimization, and geometry. You'll start by developing core skills and learning about packages covered in Python’s scientific stack, including NumPy, SciPy, and Matplotlib. As you advance, you'll get to grips with more advanced topics of calculus, probability, and networks (graph theory). After you gain a solid understanding of these topics, you'll discover Python's applications in data science and statistics, forecasting, geometry, and optimization. The final chapters will take you through a collection of miscellaneous problems, including working with specific data formats and accelerating code. By the end of this book, you'll have an arsenal of practical coding solutions that can be used and modified to solve a wide range of practical problems in computational mathematics and data science.
Table of Contents (12 chapters)

Visualizing networks

A common first step in analyzing a network is to draw the network, which can help us identify some of the prominent features of a network. (Of course, drawings can be misleading, so we should not rely on them too heavily in our analysis.)

In this recipe, we'll describe how to use the network drawing facilities in the NetworkX package to visualize a network.

Getting ready

For this recipe, we will need to import the NetworkX package under the name nx, as described in the Technical requirements section. We will also need the Matplotlib package. For this, as usual, we import the pyplot module as plt using the following import statement:

import matplotlib.pyplot as plt

How to do it...

The following steps outline how to draw a simple network object using the drawing routines from NetworkX:

  1. First, we create a simple example network to draw:
G = nx.Graph()

G.add_nodes_from(range...