03189nam 22006372 450 991044993960332120160428102628.01-107-71306-40-511-05897-71-107-71268-80-511-06743-71-107-71814-70-511-06530-21-107-05005-70-511-15720-7(CKB)1000000000003980(EBL)217854(SSID)ssj0000280750(PQKBManifestationID)11912436(PQKBTitleCode)TC0000280750(PQKBWorkID)10299912(PQKB)11024140(UkCbUP)CR9781107050051(MiAaPQ)EBC217854(Au-PeEL)EBL217854(CaPaEBR)ebr10014603(CaONFJC)MIL589058(OCoLC)70763570(EXLCZ)99100000000000398020130326d2002|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierIndra's pearls the vision of Felix Klein /David Mumford, Caroline Series, and David Wright ; with cartoons by Larry Gonick[electronic resource]Cambridge :Cambridge University Press,2002.1 online resource (xix, 395 pages) digital, PDF file(s)Title from publisher's bibliographic system (viewed on 05 Oct 2015).1-107-56474-3 0-521-35253-3 The language of symmetry -- A delightful fiction -- Double spirals and Möbius maps -- The Schottky dance -- Fractal dust and infinite words -- Indra's necklace -- The glowing gasket -- Playing with parameters -- Accidents will happen -- Between the cracks -- Crossing boundaries -- Epilogue -- Index -- Road map.Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these images barely existed outside the imagination of mathematicians. However, in the 1980s, the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.FractalsFractals.514/.742Mumford David1937-42095Series CarolineWright David JamesGonick LarryUkCbUPUkCbUPBOOK9910449939603321Indra's pearls1903602UNINA01715nam a2200505 i 450099100132928970753620020507191450.0940317s1985 de ||| | eng 3540156860b10832348-39ule_instLE01310593ExLDip.to Matematicaeng512.4AMS 00B25AMS 05A99AMS 08-06AMS 12H05AMS 13B25AMS 13H10AMS 14-XXAMS 14D25AMS 14L05AMS 14M15AMS 16-XXAMS 16A08 (1985)AMS 16A32 (1985)AMS 16A38 (1985)AMS 16A42 (1985)AMS 16A62 (1985)Seminaire d'algebre Paul Dubreil536765Séminaire d'algèbre Paul Dubreil et Marie-Paule Malliavin :proc. Paris 1983-84 (36ème Année) /ed. M. P. MalliavinBerlin ; New York :Springer-Verlag,1985iv, 420 p. ;24 cm.Lecture notes in mathematics,0075-8434 ;1146AlgebraCongressesGeneral algebraic systemsCongressesProceedings of conferences of miscellaneous specific interestDubreil, PaulMalliavin, Marie-Paule.b1083234823-02-1728-06-02991001329289707536LE013 00B MAL18 (1985)12013000035451le013-E0.00-l- 01010.i1094143528-06-02Séminaire d'algèbre Paul Dubreil et Marie-Paule Malliavin923711UNISALENTOle01301-01-94ma -engde 01