04108nam 22006495 450 991030055370332120200629140613.03-319-97067-410.1007/978-3-319-97067-7(CKB)4100000005958341(MiAaPQ)EBC5497839(DE-He213)978-3-319-97067-7(PPN)229915477(EXLCZ)99410000000595834120180823d2018 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMathematical Modeling Through Topological Surgery and Applications /by Stathis Antoniou1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (92 pages)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-50533-319-97066-6 Introduction -- Useful Mathematical Notions -- The Formal Definition of Surgery -- Continuity -- Dynamics -- Solid Surgery -- A Dynamical System Modeling Solid 2-Dimensional 0-Surgery -- The Ambient Space S3 -- Embedded Surgery -- 3-Dimensional Surgery -- Conclusions.Topological surgery is a mathematical technique used for creating new manifolds out of known ones. In this book the authors observe that it also occurs in natural phenomena of all scales: 1-dimensional surgery happens during DNA recombination and when cosmic magnetic lines reconnect; 2-dimensional surgery happens during tornado formation and cell mitosis; and they conjecture that 3-dimensional surgery happens during the formation of black holes from cosmic strings, offering an explanation for the existence of a black hole’s singularity. Inspired by such phenomena, the authors present a new topological model that extends the formal definition to a continuous process caused by local forces. Lastly, they describe an intrinsic connection between topological surgery and a chaotic dynamical system exhibiting a “hole drilling” behavior. The authors’ model indicates where to look for the forces causing surgery and what deformations should be observed in the local submanifolds involved. These predictions are significant for the study of phenomena exhibiting surgery and they also open new research directions. This novel study enables readers to gain a better understanding of the topology and dynamics of various natural phenomena, as well as topological surgery itself and serves as a basis for many more insightful observations and new physical implications.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053PhysicsTopologyCosmologyStatistical physicsDynamicsErgodic theoryMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Topologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28000Cosmologyhttps://scigraph.springernature.com/ontologies/product-market-codes/P22049Statistical Physics and Dynamical Systemshttps://scigraph.springernature.com/ontologies/product-market-codes/P19090Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XPhysics.Topology.Cosmology.Statistical physics.Dynamics.Ergodic theory.Mathematical Methods in Physics.Topology.Cosmology.Statistical Physics and Dynamical Systems.Dynamical Systems and Ergodic Theory.514.34Antoniou Stathisauthttp://id.loc.gov/vocabulary/relators/aut1063694BOOK9910300553703321Mathematical Modeling Through Topological Surgery and Applications2533822UNINA01300nam0 22003011i 450 UON0007194120231205102354.27688-85940-00-520020107d1988 |0itac50 baitaIT|||| |||||ˆIl ‰profeta MuhammadLa sua vita secondo le fonti piu' anticheMartin LingsTraduzione dall'inglese di Sergio VolpeTrieste : Societa'Italiana Testi Islamici1988xv,372 p.25 cmTit. orig.: Muhammad, his life based on the earliest sourcesUON00359081Muhammad, his life based on the earliest sources18347Muhammad (Profeta) (570-632)UONC003721FIITTriesteUONL000829297.63Maometto Il Profeta21LINGSMartinUONV027183642551Societa italiana testi islamiciUONV257187650ITSOL20241115RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00071941SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI ARA Afr IV B 012 SI AA 14880 7 012 SmarritoMuhammad, his life based on the earliest sources18347UNIOR