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Practical Discrete Mathematics

You're reading from   Practical Discrete Mathematics Discover math principles that fuel algorithms for computer science and machine learning with Python

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Product type Paperback
Published in Feb 2021
Publisher Packt
ISBN-13 9781838983147
Length 330 pages
Edition 1st Edition
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Authors (2):
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Ryan T. White Ryan T. White
Author Profile Icon Ryan T. White
Ryan T. White
Archana Tikayat Ray Archana Tikayat Ray
Author Profile Icon Archana Tikayat Ray
Archana Tikayat Ray
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Table of Contents (17) Chapters Close

Preface 1. Part I – Basic Concepts of Discrete Math
2. Chapter 1: Key Concepts, Notation, Set Theory, Relations, and Functions FREE CHAPTER 3. Chapter 2: Formal Logic and Constructing Mathematical Proofs 4. Chapter 3: Computing with Base-n Numbers 5. Chapter 4: Combinatorics Using SciPy 6. Chapter 5: Elements of Discrete Probability 7. Part II – Implementing Discrete Mathematics in Data and Computer Science
8. Chapter 6: Computational Algorithms in Linear Algebra 9. Chapter 7: Computational Requirements for Algorithms 10. Chapter 8: Storage and Feature Extraction of Graphs, Trees, and Networks 11. Chapter 9: Searching Data Structures and Finding Shortest Paths 12. Part III – Real-World Applications of Discrete Mathematics
13. Chapter 10: Regression Analysis with NumPy and Scikit-Learn 14. Chapter 11: Web Searches with PageRank 15. Chapter 12: Principal Component Analysis with Scikit-Learn 16. Other Books You May Enjoy

Google PageRank II

In this section, we will continue learning about Google's PageRank algorithm, which we started to look at in Chapter 5, Elements in Discrete Probability. As we discussed in that chapter, two students at Stanford University and later founders of Google, Larry Page and Sergey Brin, along with some researchers at Stanford, Rajeev Motwani and Terry Winograd, tapped into some existing academic literature on information retrieval in linked documents and merged several innovations to adapt the ideas for use in web searches.

The algorithm they developed, PageRank, was so effective that Google soon became totally dominant in the field of search engines in the late 1990s to early 2000s. This innovative PageRank algorithm still forms a part of Google's searching methods, although their methods have, of course, progressed significantly in the past 20 years by implementing information from user histories, user location, and the like in determining which websites...

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