Charming Proofs: A Journey into Elegant Mathematics

By Claudi Alsina and Roger B. Nelsen



Theorems and their proofs lie at the center of mathematics. In Charming Proofs, Claudi Alsina and Roger B. Nelsen present proofs involving numbers, geometry, inequalities, functions, plane tilings, origami, polyhedra, and other facets of elementary mathematics. Using surprising arguments or evocative illustrations, the authors offer keen insights into the essence of mathematics. They invite readers to discover and enjoy the beauty of mathematics, while developing the ability to create proofs of their own.

G. H. Hardy observed that, in beautiful proofs, “there is a very high degree of unexpectedness, combined with inevitability and economy. Yuri I. Manin said, "A good proof is one that makes us wise.” Andrew Gleason echoed that sentiment, "Proofs really aren't there to convince you that something is true—they're there to show you why it is true."

This book highlights a collection of remarkable proofs that are elegant, ingenious, and succinct.

Highlights:

• Problems and their solutions draw readers into the process of creating proofs for themselves.
• Suitable as a text for introductory courses on proofs, mathematical reasoning, and problem solving.
• More than 250 figures facilitate the proofs and readers' understanding.

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