- Author: T.S. Michael
- Publisher: The Johns Hopkins University Press
- Number Of Pages: 272
- Publication Date: 2009-07-27
- ISBN-10 / ASIN: 0801892996
- ISBN-13 / EAN: 9780801892998
Description:
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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