LEADER 03532nam 22007332 450 001 9910812249803321 005 20160420161241.0 010 $a0-88385-986-6 035 $a(CKB)2670000000205121 035 $a(EBL)3330380 035 $a(SSID)ssj0000577650 035 $a(PQKBManifestationID)11396481 035 $a(PQKBTitleCode)TC0000577650 035 $a(PQKBWorkID)10576757 035 $a(PQKB)10647678 035 $a(UkCbUP)CR9780883859865 035 $a(MiAaPQ)EBC3330380 035 $a(Au-PeEL)EBL3330380 035 $a(CaPaEBR)ebr10728529 035 $a(OCoLC)929120326 035 $a(RPAM)16658377 035 $a(EXLCZ)992670000000205121 100 $a20111001d2011|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIcons of mathematics $ean exploration of twenty key images /$fClaudi Alsina, Roger B. Nelsen$b[electronic resource] 210 1$aWashington :$cMathematical Association of America,$d2011. 215 $a1 online resource (xvii, 327 pages) $cdigital, PDF file(s) 225 1 $aDolciani Mathematical Expositions, $vv. 45 225 0$aDolciani mathematical expositions ;$vno. 45 300 $aTitle from publisher's bibliographic system (viewed on 02 Oct 2015). 311 $a0-88385-352-3 320 $aIncludes bibliographical references (p. 309-319) and index. 327 $gPreface -- Twenty key icons of mathematics --$tThe bride's chair --$tZhou Bi Suan Jing --$tGarfield's trapezoid --$tThe semicircle --$tSimilar figures --$tCevians --$tThe right triangle --$tNapoleon's triangles --$tArcs and angles --$tPolygons with circles --$tTwo circles --$tVenn diagrams --$tOverlapping figures --$tYin and yang --$tPolygonal lines --$tStar polygons --$tSelf-similar figures --$tTatami --$tThe rectangular hyperbola --$tTiling --$tSolutions to the challenges --$gReferences --$gIndex --$gAbout the authors. 330 $aIcons of mathematics are certain geometric diagrams that play a crucial role in visualizing mathematical proofs, and in the book the authors present 20 of them and explore the mathematics that lies within and that can be created. The authors devote a chapter to each icon, illustrating its presence in real life, its primary mathematical characteristics and how it plays a central role in visual proofs of a wide range of mathematical facts. Among these are classical results from plane geometry, properties of the integers, means and inequalities, trigonometric identities, theorems from calculus, and puzzles from recreational mathematics. 410 0$aDolciani Mathematical Expositions 606 $aGeometry$xFamous problems 606 $aGeometrical constructions 606 $aGeneration of geometric forms 606 $aProof theory 606 $aMathematical notation 606 $aGeometrical drawing 606 $aGeometry, Plane 606 $aVisualization 615 0$aGeometry$xFamous problems. 615 0$aGeometrical constructions. 615 0$aGeneration of geometric forms. 615 0$aProof theory. 615 0$aMathematical notation. 615 0$aGeometrical drawing. 615 0$aGeometry, Plane. 615 0$aVisualization. 676 $a516.2/04 700 $aAlsina$b Claudi$0309455 702 $aNelsen$b Roger B. 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910812249803321 996 $aIcons of mathematics$94095579 997 $aUNINA