03334nam 2200733 a 450 991046192940332120200520144314.00-88385-986-6(CKB)2670000000205121(EBL)3330380(SSID)ssj0000577650(PQKBManifestationID)11396481(PQKBTitleCode)TC0000577650(PQKBWorkID)10576757(PQKB)10647678(UkCbUP)CR9780883859865(MiAaPQ)EBC3330380(Au-PeEL)EBL3330380(CaPaEBR)ebr10728529(OCoLC)929120326(EXLCZ)99267000000020512120110218d2011 uy 0engur|n|---|||||txtccrIcons of mathematics[electronic resource] an exploration of twenty key images /Claudi Alsina, Roger B. Nelsen[Washington, D.C.] Mathematical Association of Americac20111 online resource (347 p.)Dolciani mathematical expositions ;no. 45Description based upon print version of record.0-88385-352-3 Includes bibliographical references (p. 309-319) and index.Thebride's chair --Zhou Bi Suan Jing --Garfield's trapezoid --Thesemicircle --Similar figures --Cevians --Theright triangle --Napoleon's triangles --Arcs and angles --Polygons with circles --Two circles --Venn diagrams --Overlapping figures --Yin and yang --Polygonal lines --Star polygons --Self-similar figures --Tatami --Therectangular hyperbola --Tiling --Solutions to the challenges.Icons of mathematics are certain geometric diagrams that play a crucial role in visualizing mathematical proofs, and in the book the authors present 20 of them and explore the mathematics that lies within and that can be created. The authors devote a chapter to each icon, illustrating its presence in real life, its primary mathematical characteristics and how it plays a central role in visual proofs of a wide range of mathematical facts. Among these are classical results from plane geometry, properties of the integers, means and inequalities, trigonometric identities, theorems from calculus, and puzzles from recreational mathematics.Dolciani Mathematical ExpositionsGeometryFamous problemsGeometrical constructionsGeneration of geometric formsProof theoryMathematical notationGeometrical drawingGeometry, PlaneVisualizationElectronic books.GeometryFamous problems.Geometrical constructions.Generation of geometric forms.Proof theory.Mathematical notation.Geometrical drawing.Geometry, Plane.Visualization.516.2/04Alsina Claudi309455Nelsen Roger B55994MiAaPQMiAaPQMiAaPQBOOK9910461929403321Icons of mathematics1943423UNINA