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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 present 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, to share their discoveries with others, and to become involved in the process of creating new proofs. Charming Proofs is organized as follows. Following a short introduction about proofs and the process of creating proofs, the authors present, in twelve chapters, a wide and varied selection of proofs they consider charming, Topics include 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. Charming Proofs concludes with solutions to all of the challenges, references, and a complete index. As in the authors' previous books with the MAA (Math Made Visual and When Less Is More), secondary school and college and university teachers may wish to use some of the charming proofs in their classrooms to introduce their students to mathematical elegance. Some may wish to use the book as a supplement in an introductory course on proofs, mathematical reasoning, or problem solving."--Publisher's description.
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Previews available in: English
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Proof theoryShowing 3 featured editions. View all 3 editions?
Edition | Availability |
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1
Demostraciones con encanto: Un viaje por las matemáticas elegantes
Mar 18, 2021, EDICIONES SM
paperback
in Spanish
8413187796 9788413187792
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2
Bezaubernde Beweise: Eine Reise durch die Eleganz der Mathematik
May 23, 2013, Springer Spektrum
in German
3642347924 9783642347924
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3
Charming proofs: a journey into elegant mathematics
2010, Mathematical Association of America
in English
0883853485 9780883853481
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Book Details
Table of Contents
Edition Notes
Includes bibliographical references (p. 275-287) and index.
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Feedback?April 10, 2023 | Edited by bitnapper | Merge works (MRID: 55401) |
April 5, 2023 | Edited by Stew | Add second author. |
September 25, 2020 | Edited by MARC Bot | import existing book |
February 28, 2020 | Edited by MARC Bot | remove fake subjects |
May 16, 2012 | Created by LC Bot | import new book |