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000845740 019__ $$a1050134151
000845740 020__ $$a9783319970677$$q(electronic book)
000845740 020__ $$a3319970674$$q(electronic book)
000845740 020__ $$z9783319970660
000845740 020__ $$z3319970666
000845740 035__ $$aSP(OCoLC)on1049974778
000845740 035__ $$aSP(OCoLC)1049974778$$z(OCoLC)1050134151
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000845740 1001_ $$aAntoniou, Stathis,$$eauthor.
000845740 24510 $$aMathematical modeling through topological surgery and applications /$$cStathis Antoniou.
000845740 264_1 $$aCham, Switzerland :$$bSpringer,$$c2018.
000845740 300__ $$a1 online resource.
000845740 336__ $$atext$$btxt$$2rdacontent
000845740 337__ $$acomputer$$bc$$2rdamedia
000845740 338__ $$aonline resource$$bcr$$2rdacarrier
000845740 4901_ $$aSpringer theses
000845740 500__ $$a"Doctoral thesis accepted by the National Technical University of Athens, Athens, Greece."
000845740 504__ $$aIncludes bibliographical references and index.
000845740 5050_ $$aIntro; Supervisor's Foreword; Abstract; Acknowledgements; Contents; 1 Introduction; References; 2 Useful Mathematical Notions; 2.1 Topological Spaces; 2.2 Non-technical Definition of a Manifold; 2.3 Properties of Manifolds; 2.4 Examples of Manifolds; 2.4.1 1-Manifolds; 2.4.2 2-Manifolds; 2.4.3 3-Manifolds; 2.4.4 n-Balls and n-Spheres; 2.4.5 The Compactification of mathbbRn; 2.4.6 Product Spaces; 2.5 Defining Manifolds; 2.5.1 Hausdorff Space; 2.5.2 Bases of Topological Spaces; 2.5.3 The Rigorous Definition of a Manifold; 2.6 Homeomorphisms; 2.7 Embeddings; 2.8 The Idea of Topological Surgery
000845740 5058_ $$a6.1 Solid 1-Dimensional Topological Surgery6.2 Solid 2-Dimensional Topological Surgery; 6.3 Modeling Phenomena Exhibiting Solid 2-Dimensional 0-Surgery; 6.4 Modeling Phenomena Exhibiting Solid 2-Dimensional 1-Surgery; References; 7 A Dynamical System Modeling Solid 2-Dimensional 0-Surgery; 7.1 The Dynamical System and Its Steady State Points; 7.2 Local Behavior and Numerical Simulations; 7.3 Connecting the Dynamical System with Solid 2-Dimensional 0-Surgery; References; 8 The Ambient Space S3; 8.1 Descriptions of S3; 8.1.1 Via mathbbR3; 8.1.2 Via Two 3-Balls; 8.1.3 Via Two Solid Tori
000845740 5058_ $$a8.2 Connecting the Descriptions of S38.2.1 Via Corking; 8.2.2 Via Surgery; 8.3 Dynamical Systems Exhibiting the Topology of S3; 8.3.1 The 3-Dimensional Lotka-Volterra System; 8.3.2 The Pair of Linear Harmonic Oscillators; References; 9 Embedded Surgery; 9.1 Embedded 1-Dimensional Surgery; 9.2 Embedded 2-Dimensional Surgery; 9.3 Modeling Phenomena Exhibiting Embedded Solid 2-Dimensional Surgery; 9.3.1 A Topological Model for the Density Distribution in Black Hole Formation; 9.3.2 A Topological Model for the Formation of Tornadoes; 9.3.3 Embedded Solid 2-Dimensional 1-Surgery on M=D3
000845740 506__ $$aAccess limited to authorized users.
000845740 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 28, 2018).
000845740 650_0 $$aTopological manifolds.
000845740 650_0 $$aHomeomorphisms.
000845740 77608 $$iPrint version: $$z3319970666$$z9783319970660$$w(OCoLC)1042084779
000845740 830_0 $$aSpringer theses.
000845740 852__ $$bebk
000845740 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-97067-7$$zOnline Access$$91397441.1
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