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Practical Discrete Mathematics

You're reading from  Practical Discrete Mathematics

Product type Book
Published in Feb 2021
Publisher Packt
ISBN-13 9781838983147
Pages 330 pages
Edition 1st Edition
Languages
Authors (2):
Ryan T. White Ryan T. White
Profile icon Ryan T. White
Archana Tikayat Ray Archana Tikayat Ray
Profile icon Archana Tikayat Ray
View More author details
Toc

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 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

Summary

In this chapter, we learned about regression, the least-squares method, and line, curve, and surface fitting. We also learned about how to apply these methods to a real-world dataset and how to predict the values for an output variable (Y) given access to some historical dataset that has both X and Y values. Caution should be taken if we are trying to extrapolate outside the range of X values for a dataset; the predicted values might not be reliable. You should now be able to apply these concepts to your own datasets and use Python libraries such as SciPy, NumPy, and scikit-learn to carry out regression analysis and prediction.

In the next chapter, we will learn about web searches from both mathematical and practical perspectives. We will also look at Google's PageRank algorithm and discuss the linear algebra involved.

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