Book Image

Applying Math with Python - Second Edition

By : Sam Morley
Book Image

Applying Math with Python - Second Edition

By: Sam Morley

Overview of this book

The updated edition of Applying Math with Python will help you solve complex problems in a wide variety of mathematical fields in simple and efficient ways. Old recipes have been revised for new libraries and several recipes have been added to demonstrate new tools such as JAX. You'll start by refreshing your knowledge of several core mathematical fields and learn about packages covered in Python's scientific stack, including NumPy, SciPy, and Matplotlib. As you progress, you'll gradually get to grips with more advanced topics of calculus, probability, and networks (graph theory). Once you’ve developed a solid base in these topics, you’ll have the confidence to set out on math adventures with Python as you explore 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 (13 chapters)

Generating random data

Many tasks involve generating large quantities of random numbers, which, in their most basic form, are either integers or floating-point numbers (double-precision) lying within the range . Ideally, these numbers should be selected uniformly, so that if we draw a large number of these numbers, they are distributed roughly evenly across the range .

In this recipe, we will see how to generate large quantities of random integers and floating-point numbers using NumPy, and show the distribution of these numbers using a histogram.

Getting ready

Before we start, we need to import the default_rng routine from the NumPy random module and create an instance of the default random number generator to use in the recipe:

from numpy.random import default_rng
rng = default_rng(12345) # changing seed for reproducibility

We have discussed this process in the Selecting items at random recipe.

We also import the Matplotlib pyplot module under the plt alias.

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