How to Guard an Art Gallery and Other Discrete Mathematical Adventures
eBook - ePub

How to Guard an Art Gallery and Other Discrete Mathematical Adventures

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

How to Guard an Art Gallery and Other Discrete Mathematical Adventures

About this book

What is the maximum number of pizza slices one can get by making four straight cuts through a circular pizza? How does a computer determine the best set of pixels to represent a straight line on a computer screen? How many people at a minimum does it take to guard an art gallery?

Discrete mathematics has the answer to these—and many other—questions of picking, choosing, and shuffling. T. S. Michael's gem of a book brings this vital but tough-to-teach subject to life using examples from real life and popular culture. Each chapter uses one problem—such as slicing a pizza—to detail key concepts about counting numbers and arranging finite sets. Michael takes a different perspective in tackling each of eight problems and explains them in differing degrees of generality, showing in the process how the same mathematical concepts appear in varied guises and contexts. In doing so, he imparts a broader understanding of the ideas underlying discrete mathematics and helps readers appreciate and understand mathematical thinking and discovery.

This book explains the basic concepts of discrete mathematics and demonstrates how to apply them in largely nontechnical language. The explanations and formulas can be grasped with a basic understanding of linear equations.

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Yes, you can access How to Guard an Art Gallery and Other Discrete Mathematical Adventures by T.S. Michael in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover Page
  2. Title Page
  3. Copyright Page
  4. Contents
  5. Preface
  6. 1 How to Count Pizza Pieces
  7. 2 Count on Pick’s Formula
  8. 3 How to Guard an Art Gallery
  9. 4 Pixels, Lines, and Leap Years
  10. 5 Measure Water with a Vengeance
  11. 6 From Stamps to Sylver Coins
  12. 7 Primes and Squares: Quadratic Residues
  13. References
  14. Index
  15. Footnotes