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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
Languages
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

Geometric Problems

This chapter describes solutions to several problems concerning two-dimensional geometry. Geometry is a branch of mathematics concerned with the characteristics of points, lines, and other figures (shapes), the interaction between these figures, and the transformation of these figures. In this chapter, we’ll focus on the characteristics of two-dimensional figures and the interactions between these objects.

There are several problems we must overcome when working with geometric objects in Python. The biggest hurdle is the problem of representation. Most geometric objects occupy a region on the two-dimensional plane and, as such, it is impossible to store every point that lies within the region. Instead, we have to find a more compact way to represent the region that can be stored as a relatively small number of points or other attributes. For example, we might store a selection of points along the boundary of an object that we can reconstruct the boundary...

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