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Applying Math with Python

Applying Math with Python - Second Edition

By : Sam Morley
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Applying Math with Python

Applying Math with Python

5 (8)
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)
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Integrating functions numerically using SciPy

Integration can be interpreted as the area that lies between a curve and the axis, signed according to whether this area is above or below the axis. Some integrals cannot be computed directly using symbolic means, and instead, have to be approximated numerically. One classic example of this is the Gaussian error function, which was mentioned in the Understanding basic mathematical functions section in Chapter 1, An Introduction to Basic Packages, Functions, and Concepts. This is defined by the following formula:

Furthermore, the integral that appears here cannot be evaluated symbolically.

In this recipe, we will see how to use numerical integration routines in the SciPy package to compute the integral of a function.

Getting ready

We use the scipy.integrate module, which contains several routines for computing numerical integrals. We also import the NumPy library as np. We import this module as follows...

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Applying Math with Python
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