Charming Proofs, A Journey into Elegant Mathematics [PDF] [StormRG]

Author: Claudi Alsina , Roger B. Nelsen
Series: Dolciani Mathematical Expositions
Hardcover: 295 pages
Publisher: Mathematical Association of America (August 18, 2010)
Language: English
ISBN-10: 0883853485
ISBN-13: 978-0883853481
Format: Retail PDF
Reader Required: Adobe Reader, Foxit, Nitro, Adobe Digital Editions

Note: This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book.

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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 of unexpectedness, combined with inevitability and economy'. Charming Proofs presents a collection of remarkable proofs in elementary mathematics that are exceptionally elegant, full of ingenuity, and succinct. 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, and to develop the ability to create proofs themselves. The authors consider proofs from topics such as geometry, number theory, inequalities, plane tilings, origami and polyhedra. Secondary school and university teachers can use this book to introduce their students to mathematical elegance. More than 130 exercises for the reader (with solutions) are also included.