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)

How to do it...

Follow these steps to use the papermill command-line interface to execute a Jupyter notebook remotely:

  1. First, we open the sample notebook, sample.ipynb, from the code repository for this chapter. The notebook contains three code cells that hold the following code:
import matplotlib.pyplot as plt
from numpy.random import default_rng
rng = default_rng(12345)

uniform_data = rng.uniform(-5, 5, size=(2, 100))

fig, ax = plt.subplots(tight_layout=True)
ax.scatter(uniform_data[0, :], uniform_data[1, :])
ax.set(title="Scatter plot", xlabel="x", ylabel="y")
  1. Next, we open the folder containing the Jupyter notebook in the terminal and use the following command:
          papermill --kernel python3 sample.ipynb output.ipynb
        
  1. Now, we open the output file, output.ipynb, which should now contain the notebook that's been updated with the result of the...