Preface; Introduction; 1. A garden of integers; 2. Distinguished numbers; 3. Points in the plane; 4. The polygonal playground; 5. A treasury of triangle theorems; 6. The enchantment of the equilateral triangle; 7. The quadrilaterals' corner; 8. Squares everywhere; 9. Curves ahead; 10. Adventures in tiling and coloring; 11. Geometry in three dimensions; 12. Additional theorems, problems and proofs; Solutions to the challenges; References; Index; About the authors.
A collection of remarkable proofs that are exceptionally elegant, and thus invite the reader to enjoy the beauty of mathematics.
Claudi Alsina received his BA and Ph.D. in Mathematics from the University of Barcelona. His postdoctoral studies were at the University of Massachusetts, Amherst. As Professor of Mathematics at the Technical University of Catalonia, Claudi has delivered a wide range of research papers, publications and lectures on mathematics and mathematics education. His latest books include Associative Functions (co-authored with M. J. Frank and B. Schweizer, WSP, 2006) and Math Made Visual (co-authored with Roger B. Nelsen, MAA, 2006). Roger B. Nelsen received his BA in Mathematics from DePauw University and his Ph.D. from Duke University in 1969. He taught mathematics and statistics at Lewis and Clark College for forty years before his retirement in 2009. His previous books include Proofs Without Words (MAA, 1993) and An Introduction to Copulas (Springer, 1999).
The book covers a wide range of topics ... Many appeared in other publications, but together, they make a coherent collection that would please many a mathematics fan. As with their previous books, the authors supply each of the 12 chapters with challenge problems and the latter with solutions found at the end of the book. ... This makes the book of special interest to the middle and high school teachers of talented youth and the students themselves."" - Alex Bogomolny, MAA Reviews
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