How to Guard an Art Gallery and Other Discrete Mathematical Adventures

How to Guard an Art Gallery and Other Discrete Mathematical Adventures

by T.S. Michael
     
 

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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

Overview

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.

Editorial Reviews

Choice

A valuable reference for instructors teaching these topics.

Mathematical Reviews

Accessible and engaging, with many examples, pithy section titles, exercises, historical notes, and a bibliography for further reading.

— Matthias Beck

The Physics Teacher

Seven great chapters that make discrete mathematics much more relevant to the real world.

— John L. Hubisz

The Physics Teacher - John L. Hubisz
Seven great chapters that make discrete mathematics much more relevant to the real world.

Mathematical Reviews - Matthias Beck
Accessible and engaging, with many examples, pithy section titles, exercises, historical notes, and a bibliography for further reading.

Product Details

ISBN-13:
9780801897047
Publisher:
Johns Hopkins University Press
Publication date:
08/07/2009
Sold by:
Barnes & Noble
Format:
NOOK Book
Pages:
272
File size:
23 MB
Note:
This product may take a few minutes to download.
Age Range:
18 Years

Meet the Author

T. S. Michael is an associate professor of mathematics at the United States Naval Academy.

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