04620nam 22007692 450 991045926240332120160428111427.01-107-20850-51-139-63665-01-282-72342-197866127234210-511-77579-20-511-77655-10-511-77397-80-511-77290-40-511-77700-00-511-77503-2(CKB)2670000000032448(EBL)542774(OCoLC)651599417(MiAaPQ)EBC542774(Au-PeEL)EBL542774(CaPaEBR)ebr10406710(CaONFJC)MIL272342(UkCbUP)CR9780511777004(EXLCZ)99267000000003244820100512d2010|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierA mathematical tapestry demonstrating the beautiful unity of mathematics /Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer[electronic resource]Cambridge :Cambridge University Press,2010.1 online resource (xv, 290 pages) digital, PDF file(s)Title from publisher's bibliographic system (viewed on 05 Oct 2015).0-521-12821-8 0-521-76410-6 Includes bibliographical references and index.Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems.This easy-to-read 2010 book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth.MathematicsPaper workGeometrical modelsPolyhedraModelsMathematicsStudy and teachingGeometryStudy and teachingCombinatorial geometryStudy and teachingMathematical recreationsMathematics.Paper work.Geometrical models.PolyhedraModels.MathematicsStudy and teaching.GeometryStudy and teaching.Combinatorial geometryStudy and teaching.Mathematical recreations.510Hilton Peter1923-2010,42007Pedersen JeanDonmoyer SylvieUkCbUPUkCbUPBOOK9910459262403321A mathematical tapestry2443606UNINA01020nam0 22002771i 450 UON0003218320231205102106.34220020107d1974 |0itac50 baturTR|||| 1||||MevlanaA. Nihad TarlanIstanbulHareket Yayinlari1974116 p.18 cm.001UON000321842001 Hareket Yayinlari53Letteratura turca pre-ottomana PoesiaUONC009460FITRIstanbulUONL000077OTT VI BIMPERO OTTOMANO - LETTERATURAATARLANAli NihadUONV006036645403Hareket YayinlariUONV251315650ITSOL20251003RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00032183SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI OTT VI B 194 N SI SA 18906 5 194 N Mevlana1189819UNIOR02191nam 22005413u 450 991042605620332120250705110028.09780892641109089264110X10.1353/book.77771(CKB)5590000000001690(MiAaPQ)EBC6321374EBL7007884(OCoLC)1328132707(AU-PeEL)EBL7007884(NjHacI)995590000000001690(MiAaPQ)EBC7007884(ScCtBLL)92d8c971-47ba-45cf-919c-f1b322ebf42e(ODN)ODN0009815996(EXLCZ)99559000000000169020220617d1995|||| u|| |engur|n|---|||||txtrdacontentcrdamediacrrdacarrierPearl from the Dragon's Mouth Evocation of Scene and Feeling in Chinese PoetryAnn Arbor Center for Chinese Studies Publications19951 online resource (178 p.)Michigan Monographs in Chinese Studies ;v.67Description based upon print version of record.9780472901357 0472901354 The interplay between the external world (ching) and the poet's inner world (ch'ing) lies at the heart of Chinese poetry, and understanding the interaction of the two is crucial to understanding this work from within its own tradition. Closely coordinating her discussions of poetry and criticism so that practice and theory become mutually enriching and illuminating, Sun offers sensitive and original readings of poems and a wealth of insights into Chinese poetics.Michigan Monographs in Chinese StudiesChinese poetryHistory and criticismTheory, etcPoetry.lcgftChinese poetryHistory and criticismTheory, etc.895.11009LAN000000SOC000000SOC008000bisacshSun Cecile Chu-chin1242062AU-PeELAU-PeELAU-PeELBOOK9910426056203321Pearl from the Dragon's Mouth2881067UNINA