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From the back cover: "Theorems and their proofs lie at the heart of mathematics. In speaking of the purely aesthetic qualities of theorems and proofs, G. H. Hardy wrote that in beautiful proofs, 'there is a very high degree ofunexpectedness , combined withinevitability andeconomy .' ...
"By means of a surprising argument or a powerful visual representation, the proofs in this collection will invite readers to enjoy the beauty of mathematics, to share their discoveries with others, and to become involved in the process of creating new proofs.
"The book includes the following topics: the integers; selected real numbers; points in the plane; triangles; squares; and other polygons; curves; inequalities; plane tilings; origami, colorful proofs; three-dimensional geometry; etc. At the end of each chapter are some challenges that will draw the reader into the process of creating charming proofs. There are over 130 such challenges."
