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Applying Math with Python

You're reading from   Applying Math with Python Practical recipes for solving computational math problems using Python programming and its libraries

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Product type Paperback
Published in Jul 2020
Publisher Packt
ISBN-13 9781838989750
Length 358 pages
Edition 1st Edition
Languages
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Authors (2):
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Sam Morley Sam Morley
Author Profile Icon Sam Morley
Sam Morley
Sam Morley Sam Morley
Author Profile Icon Sam Morley
Sam Morley
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Table of Contents (12) Chapters Close

Preface 1. Basic Packages, Functions, and Concepts 2. Mathematical Plotting with Matplotlib FREE CHAPTER 3. Calculus and Differential Equations 4. Working with Randomness and Probability 5. Working with Trees and Networks 6. Working with Data and Statistics 7. Regression and Forecasting 8. Geometric Problems 9. Finding Optimal Solutions 10. Miscellaneous Topics 11. Other Books You May Enjoy
Working with Trees and Networks

Networks are objects that contain nodesand edges between pairs of nodes. They can be used to represent a wide variety of real-world situations, such as distribution and scheduling. Mathematically, networks are useful for visualizing combinatorial problems and make for a rich and fascinating theory.

There are, of course, several different kinds of networks. We will mostly deal with simple networks, where edges connect two distinct nodes (so there are no self-loops), there is, at most, one edge between any two nodes, and all the edges are bidirectional. A treeis a special kind of network in which there are no cycles; that is, there are no lists of nodes in which each node is connected to the following node by an edge, and the final node is connected to the first. Trees are especially simple in terms of their theory because they connect a number of nodes with the fewest possible edges. A complete...

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