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WHEN LESS IS MORE: VISUALIZING BASIC INEQUALITIES

WHEN LESS IS MORE: VISUALIZING BASIC INEQUALITIES

WHEN LESS IS MORE: VISUALIZING BASIC INEQUALITIES

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DOL-36
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When Less is MoreVisualizing Basic Inequalities
by Claudi Alsina & Roger B. Nelsen

Inequalities permeate mathematics, from the Elements of Euclid to operations research and financial mathematics. Yet too often, especially in secondary and collegiate mathematics, the emphasis is on things equal to one another rather than unequal. The objective of this book is to illustrate how the use of visualization can be a powerful tool for better understanding some basic mathematical inequalities. Drawing pictures is a well-known method for problem solving, and the authors will convince you that the same is true when working with inequalities. They show how to produce figures in a systematic way for the illustration of inequalities and open new avenues to creative ways of thinking and teaching. In addition, a geometric argument cannot only show two things unequal, but also help the observer see just how unequal they are. The concentration on geometric inequalities is partially motivated by the hope that secondary and collegiate teachers might use these pictures with their students. Teachers may wish to use one of the drawings when an inequality arises in the course. Alternatively, When Less Is More might serve as a guide for devoting some time to inequalities and problem solving techniques, or even as part of a course on inequalities.

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  • Brand name: MAA
  • Authors: Claudi Alsina and Roger B. Nelsen
  • ISBN:9780883853429
  • 164 pp.
  • Hardcover
  • 2009
  • Series: Dolciani Mathematical Expositions
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