01141nam2-2200337---450-99000311681020331620110804143527.0000311681USA01000311681(ALEPH)000311681USA0100031168120080609d1906----km-y0itay50------bafreFR||||||||001yy<<v. 2.>> : <<La>> comedie et le drame apres 1870, une enquete sur le theatre contemporain, les auteurs et les oeuvres, theatre etranger, critiques dramatiquesG. LarroumetParisHachette et C.ie1906354 p.18 cm200120010010003116792001LARROUMET,G.601584ITsalbcISBD990003116810203316II.4.B.12/23212 DSLLBKDSLLDSLL9020080609USA011347DSLL9020110804USA011435Comedie et le drame apres 1870, une enquete sur le theatre contemporain, les auteurs et les oeuvres, theatre etranger, critiques dramatiques1020505UNISA01037nam0-2200337 --450 991063209780332120221213125736.088-359-3157-620221213d1988----kmuy0itay5050 baitaIT 001yyAntonio Labriola, 1843-1904Renzo MartinelliRomaEditori riuniti[1988]168 p.ill.20 cmLibri di base123Libri di base. Sezione 8.classici, testi, documenti, biografieComplemento del titolo in cop.: Politica e teoria alle origini del pensiero marxista in Italia.Tit. sul dorsoAntonio LabriolaLabriola, Antonio19520320.53109220Martinelli,Renzo470163ITUNINAREICATUNIMARCBK9910632097803321FL FIL 81FL-660DECBCDECBCAntonio Labriola, 1843-19042982548UNINA05396nam 22009135 450 991043814100332120200630090556.00-8176-8382-810.1007/978-0-8176-8382-5(CKB)2670000000359237(EBL)1204427(SSID)ssj0001068003(PQKBManifestationID)11600991(PQKBTitleCode)TC0001068003(PQKBWorkID)11092014(PQKB)11760409(DE-He213)978-0-8176-8382-5(MiAaPQ)EBC6310508(MiAaPQ)EBC1204427(Au-PeEL)EBL1204427(CaPaEBR)ebr10969129(OCoLC)841482616(PPN)169134687(EXLCZ)99267000000035923720130423d2013 u| 0engur|n|---|||||txtccrA Tale of Two Fractals /by A.A. Kirillov1st ed. 2013.New York, NY :Springer New York :Imprint: Birkhäuser,2013.1 online resource (138 p.)Description based upon print version of record.0-8176-8381-X Includes bibliographical references & index.Introduction -- Part 1. The Sierpiński Gasket -- Definition and General Properties -- The Laplace Operator on the Sierpiński Gasket.- Harmonic Functions on the Sierpiński Gasket -- Part 2. The Apollonian Gasket -- Introduction -- Circles and Disks on Spheres -- Definition of the Apollonian Gasket -- Arithmetic Properties of Apollonian Gaskets -- Geometric and Group-Theoretic Approach -- Many-Dimensional Apollonian Gaskets -- Bibliography.Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. Written by celebrated mathematician and educator A.A. Kirillov, A Tale of Two Fractals helps bridge this gap, providing an original treatment of fractals that is at once accessible to beginners and sufficiently rigorous for serious mathematicians. The work is designed to give young, non-specialist mathematicians a solid foundation in the theory of fractals. As its title suggests, this book focuses primarily on two fractals: the Sierpiński gasket and the Apollonian gasket. Over the course of the book, they are developed and discussed in various contexts. Along with fundamental definitions and properties, some of the key concepts and approaches covered include * the Laplace operator * harmonic functions * generalized numerical systems * Descartes' theorem * rational paramaterizations * group action on fractals * generalization to multiple dimensions In addition to its explicit goal of providing undergraduate and graduate students with a sound foundation in fractal theory, A Tale of Two Fractals serves to enhance their overall understanding of mathematics by drawing on a wide variety of techniques from other subfields. Furthermore, by virtue of the subject matter, it provides a unique opportunity for students to develop their capacity for recognizing patterns and formulating interesting questions. It is therefore a valuable text not only for any course on fractals or hyperbolic geometry, but also for any survey course with an aim of honing creative-problem-solving skills.MathematicsVisualizationSpecial functionsGeometryMathematical analysisAnalysis (Mathematics)AlgebraApplied mathematicsEngineering mathematicsVisualizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M14034Special Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M1221XGeometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21006Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11000Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Mathematics.Visualization.Special functions.Geometry.Mathematical analysis.Analysis (Mathematics).Algebra.Applied mathematics.Engineering mathematics.Visualization.Special Functions.Geometry.Analysis.Algebra.Applications of Mathematics.514.74200A0926A3028A8057SmscKirillov A.Aauthttp://id.loc.gov/vocabulary/relators/aut603877MiAaPQMiAaPQMiAaPQBOOK9910438141003321A Tale of Two Fractals2494437UNINA01940nam0 22004453i 450 VIA005129620251003044440.0883865013620130827d1994 ||||0itac50 baitaengitz01i xxxe z01nz01ncRDAcarrierMatematica generaleFrank Ayres JrMilanoMcGraw-Hill Libri Italia1994441 p.26 cmSchaumʼs31Trad. di Walter MolonIn cop: 1850 problemi risolti001TSA00029412001 Schaumʼs31Schaum's outline of theory and problems of first year college mathematicsMIL0026451RAVV061797923674MatematicaProblemiFIRCFIC035945I510MATEMATICA12510MATEMATICA19510MATEMATICA23510.076Matematica. Prontuari ed esercizi20510.76MATEMATICA. Prontuari scolastici ed esercizi1451121Ayres, FrankRAVV061797070110Ayres, Frank <jr.>CFIV149202Ayres, FrankITIT-00000020130827IT-BN0095 NAP 01M/S $NAP 01SALA DING $VIA0051296Biblioteca Centralizzata di Ateneo 01M/S (AR) 15 982 01AR 0700159825 VMA A4 1 v.Y 20240118202401181 v. in due copie 01SALA DING 510.76 AYR.ma 0102 0000020695 VMA A4 1 v.Y 19951110199511101 v. in due copie 01SALA DING 510.76 AYR.ma 0102 0000051795 VMA A4(bis 1 v. (2. copia)Y 2004011420040114 01Schaum's outline of theory and problems of first year college mathematics923674UNISANNIO