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Applying Math with Python

You're reading from   Applying Math with Python Over 70 practical recipes for solving real-world computational math problems

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Product type Paperback
Published in Dec 2022
Publisher Packt
ISBN-13 9781804618370
Length 376 pages
Edition 2nd Edition
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Concepts
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Author (1):
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Sam Morley Sam Morley
Author Profile Icon Sam Morley
Sam Morley
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Table of Contents (13) Chapters Close

Preface 1. Chapter 1: An Introduction to Basic Packages, Functions, and Concepts 2. Chapter 2: Mathematical Plotting with Matplotlib FREE CHAPTER 3. Chapter 3: Calculus and Differential Equations 4. Chapter 4: Working with Randomness and Probability 5. Chapter 5: Working with Trees and Networks 6. Chapter 6: Working with Data and Statistics 7. Chapter 7: Using Regression and Forecasting 8. Chapter 8: Geometric Problems 9. Chapter 9: Finding Optimal Solutions 10. Chapter 10: Improving Your Productivity 11. Index 12. Other Books You May Enjoy

Automatic differentiation and calculus using JAX

JAX is a linear algebra and automatic differentiation framework developed by Google for ML. It combines the capabilities of Autograd and its Accelerated Linear Algebra (XLA) optimizing compiler for linear algebra and ML. In particular, it allows us to easily construct complex functions, with automatic gradient computation, that can be run on Graphics Processing Units (GPUs) or Tensor Processing Units (TPUs). On top of all of this, it is relatively simple to use. In this recipe, we see how to make use of the JAX just-in-time (JIT) compiler, get the gradient of a function, and make use of different computation devices.

Getting ready

For this recipe, we need the JAX package installed. We will make use of the Matplotlib package, with the pyplot interface imported as plt as usual. Since we’re going to plot a function of two variables, we also need to import the mplot3d module from the mpl_toolkits package.

How to do it…...

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