000			03618cam a22003857a 4500
001			16197451
005			20191113153805.0
008			100421s2010 dcua b 001 0 eng d
010			_a 2010927263
016	7		_a015768700 _2Uk
020			_a9780883853481 (hbk.)
035			_a(OCoLC)ocn653403625
040			_aYDXCP _dTXA _dIXA _dUBY _dCDX _dMOF _dORX _dUKMGB _dCOH _dDLC
042			_alccopycat
050	0	0	_aQA9.54 _b.A57 2010
082	0	4	_a511.3/6 _223
100	1		_aAlsina, Claudi.
245	1	0	_aCharming proofs : _ba journey into elegant mathematics / _cClaudi Alsina, Roger B. Nelsen.
260			_aWashington, DC : _bMathematical Association of America, _cc2010.
300			_axxiv, 295 p. : _bill. ; _c24 cm.
490	1		_aDolciani mathematical expositions ; _vno. 42
504			_aIncludes bibliographical references (p. 275-287) and index.
505	0		_aA garden of integers -- Distinguished numbers -- Points in the plane -- The polygonal playground -- A treasury of triangle theorems -- The enchantment of the equilateral triangle -- The quadrilaterals' corner -- Squares everywhere -- Curves ahead -- Adventures in tiling and coloring -- Geometry in three dimensions -- Additional theorems, problems, and proofs.
520			_a"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.
650		0	_aProof theory.
700	1		_aNelsen, Roger B.
710	2		_aMathematical Association of America.
830		0	_aDolciani mathematical expositions ; _vno. 42.
856	4	2	_3Publisher description _uhttp://www.loc.gov/catdir/enhancements/fy1011/2010927263-d.html
856	4	1	_3Table of contents only _uhttp://www.loc.gov/catdir/enhancements/fy1011/2010927263-t.html
906			_a7 _bcbc _ccopycat _d2 _encip _f20 _gy-gencatlg
942			_2udc _cBK
999			_c26922 _d26922