Icons of Mathematics: An Exploration of Twenty Key Images

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MAA, Aug 4, 2011 - Mathematics - 327 pages
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Certain geometric diagrams play a crucial role in visualizing mathematical proofs. Twenty of these icons of mathematics are presented in this book, where the authors explore the mathematics within them and the mathematics that can be created from them. A chapter is devoted to each icon, illustrating its presence in real life, its primary mathematical characteristics and how it plays a central role in visual proofs of a wide range of mathematical facts. Among these are classical results from plane geometry, properties of the integers, means and inequalities, trigonometric identities, theorems from calculus and puzzles from recreational mathematics. Each chapter concludes with a selection of challenges for the reader to explore further properties and applications of the icon. Those teaching undergraduate mathematics will find material here for problem solving sessions, as well as enrichment material for courses on proofs and mathematical reasoning.
 

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About the author (2011)

Claudi Alsina received his B.A. and Ph.D. in mathematics from the University of Barcelona. He has developed a wide range of international activities, research papers, publications and hundreds of lectures on mathematics and mathematics education.Roger B. Nelsen received his B.A. in mathematics from DePauw University and his Ph.D. in mathematics from Duke University. He is the author of several MAA books and taught mathematics and statistics at Lewis & Clark College for forty years before retiring in 2009.

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