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  • 1
    Online Resource
    Online Resource
    Boundaries of a Complex World (2022)
    Cham :Springer International Publishing :
    Details
    UID:
    almahu_9949372045702882
    Format: XVIII, 363 p. 158 illus., 113 illus. in color. , online resource.
    Edition: 2nd ed. 2022.
    ISBN: 9783031073618
    Series Statement: Springer Series in Synergetics,
    Content: The 2nd edition of this book provides novel topics and studyies in boundaries of networks and Big Data Systems.The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics. In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems. Standard modeling approaches (based on non-linear differential equations, dynamic systems, graph theory, cellular automata, stochastic processes, or information theory) are suitable for studying local problems. However they cannot simultaneously take into account all the different facets and phenomena of a complex system, and new approaches are required to solve the challenging problem of correlations between phenomena at different levels and hierarchies, their self-organization and memory-evolutive aspects, the growth of additional structures and are ultimately required to explain why and how such complex systems can display both robustness and flexibility. This graduate-level text addresses a broader interdisciplinary audience, keeping the mathematical level essentially uniform throughout the book, and involving only basic elements from calculus, algebra, geometry and systems theory.
    Note: Introduction -- Boundaries in Visual Perception and the Arts -- Boundaries in Social Systems -- Continuous Mathematics -- Discrete Mathematics -- The Boundary in the Philosophy of Science -- Networks and their Boundaries -- Big Data Systems -- Liquid Boundaries -- Conclusions.
    In: Springer Nature eBook
    Additional Edition: Printed edition: ISBN 9783031073601
    Additional Edition: Printed edition: ISBN 9783031073625
    Additional Edition: Printed edition: ISBN 9783031073632
    Language: English
    DOI: 10.1007/978-3-031-07361-8
    URL: https://doi.org/10.1007/978-3-031-07361-8
    URL: Volltext  (URL des Erstveröffentlichers)
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    HU Berlin
    TH Brandenburg
  • 2
    Online Resource
    Online Resource
    Boundaries of a complex world / (2022)
    Cham, Switzerland :Springer,
    Details
    UID:
    edoccha_9960862304302883
    Format: 1 online resource (372 pages)
    Edition: 2nd ed.
    ISBN: 3-031-07361-4
    Series Statement: Springer Series in Synergetics
    Note: Includes index. , Intro -- Preface to the Second Edition -- Contents -- Acknowledgements -- Preface to the First Edition -- Part I Boundary in Arts and Humanities -- 1 Introduction -- 2 Boundary in Visual Perception and Arts -- 2.1 Is Our Visual Perception Two Dimensional or Three Dimensional? -- 2.2 Message of the Frame. Nonlineart -- 2.3 Importance of the Frame to the Image Inside -- 2.4 What Type of Mathematics Does Our Visual Brain Possess? -- 2.5 Framed Versus Non-framed -- 2.5.1 The Necessity of a Frame -- 2.5.2 Framed Paintings of Canvases -- 2.5.3 Eliminating Frame Effects -- 2.5.4 Frameless: Greek Pottery, Vermeer, and Feynman -- 2.6 Perception of Image Boundaries -- 2.6.1 Illusions and Frames -- 2.6.2 Bioinformatics -- 2.6.3 Representations of Boundaries in the Left and Right Cerebral Hemispheres -- 2.7 René Magritte and Bernhard Riemann -- 2.8 Appendix* -- 3 Boundary in Social Systems -- 3.1 Social Science Approach to Boundaries -- 3.1.1 Social and Collective Identity -- 3.1.2 Class, Ethnic, and Gender Inequality -- 3.1.3 Professions, Science, and Knowledge -- 3.1.4 Communities, National Identities, and Spatial Boundaries -- 3.2 Social Boundaries and Networks -- 3.3 Impact of Social Boundaries in Social Relations -- 3.4 Mathematical Approaches to Social Boundaries -- 3.5 Social Distance: Euclidean MetricSuperscript asterisk* -- 3.6 Social Distance: UltrametricSuperscript asterisk asterisk** -- 3.7 Social Topological BoundariesSuperscript asterisk asterisk** -- 3.8 Social Topological Patterns -- 3.8.1 Growth Models -- 3.8.2 Cooperation and Patterns -- 3.8.3 Multivariate NetworksSuperscript asterisk asterisk** -- 3.8.4 Pattern Formation in Unstable Social Systems -- 3.9 Epidemic Models with Moving Boundary -- 3.10 AppendixSuperscript asterisk asterisk** -- Part II Mathematical Language of Boundaries -- 310327_2_En_4_Chapter_OnlinePDF. , 4 Boundary in Continuous Mathematics -- 4.2 Intuitive Introduction to Topology -- 4.2.1 SeparationSuperscript asterisk* -- 4.2.2 Compactness -- 4.2.3 Connectedness and Connectivity -- 4.3 Topological Boundary -- 4.4 Manifold BoundarySuperscript asterisk* -- 4.5 Forms and the Lie DerivativeSuperscript asterisk asterisk** -- 4.6 Fiber Bundles and Covariant DerivativeSuperscript asterisk asterisk** -- 4.7 Is the Lagrangian Derivative a Lie Derivative, or a Covariant Derivative? -- 4.7.1 Geometric and Physics Intuition -- 4.7.2 Mathematical ApproachSuperscript asterisk asterisk** -- 4.8 Deformation of the BoundarySuperscript asterisk* -- 4.9 Differential Topology of Boundaries. CobordismSuperscript asterisk asterisk** -- 5 Boundary in Discrete Mathematics -- 5.1 Structured Finite Sets -- 5.2 Formal Theory of Graphs* -- 5.3 Algebraic Theory and Spectra of Graphs* -- 5.3.1 Relations Between Eigenvalues and the Diameter -- 5.3.2 Relations Between Eigenvalues and Connectivity -- 5.3.3 Relations Between Eigenvalues and the Topology of a Graph -- 5.3.4 Relations Between Eigenvalues and Paths -- 5.3.5 Other Relations Between Eigenvalues -- 5.4 Graph Topology and Boundaries* -- 5.4.1 The Graph Topology and the Diameter -- 5.4.2 Embeddings -- 5.4.3 Isoperimetric Problems -- 5.4.4 Separations -- 5.4.5 Expanders -- 5.5 Algebraic Topology** -- 5.6 Classification of Continuous Structure by Discrete Criteria* -- 5.7 Triangulations and CW Complexes** -- 5.8 Connecting Discrete and Continuous -- Part III Importance of Boundary in Sciences -- 310327_2_En_6_Chapter_OnlinePDF -- 6 The Boundary in the Philosophy of Science -- 6.1 Boundaries in Epistemology -- 6.2 Triadic Classifications, Complexity, and Boundaries -- 6.3 Boundarylessness as the Philosophy of Vagueness -- 7 Networks and Their Boundaries -- 7.1 Complex Networks -- 7.2 World Networks. , 7.3 The Shape of the Internet -- 7.4 Internet Is Its Own Boundary* -- 8 Big Data Systems -- 8.1 Data Dimensionality -- 8.2 Topology of Big Data: Persistent Homology** -- 8.3 Topology of Big Data: Regions with Holes** -- 9 Liquid Boundaries -- 9.1 Exotic Liquid Boundaries -- 9.2 Geometry of Inviscid Fluids* -- 9.3 Geometry of Viscous Fluids* -- 9.4 Soap Films with Boundary** -- 9.5 3D Drops* -- 9.6 Rotation of 3D Drops* -- 9.7 Rotation of 2D Drops* -- 9.8 Leidenfrost Drops -- 9.9 Spinning Polygons* -- 9.10 Universality in Rotating Fluid Patterns -- 9.10.1 Hollow Polygons on a Rotating Fluid Surface -- 9.10.2 Polygonal Eyewalls in Hurricanes -- 9.10.3 From the Lab to Saturn -- 9.11 Appendix: Second Fundamental Form -- 9.12 Appendix: Calculus of Variations -- 9.13 Appendix: n-Dimensional Rotating Drops -- 10 Conclusions -- 310327_2_En_BookBackmatter_OnlinePDF -- Index -- Appendix References.
    Additional Edition: ISBN 3-031-07360-6
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Charité
  • 3
    Online Resource
    Online Resource
    Boundaries of a complex world (2022)
    Cham : Springer
    Details
    UID:
    gbv_181757115X
    Format: 1 Online-Ressource (XVIII, 363 Seiten)
    Edition: Second edition
    ISBN: 9783031073618
    Series Statement: Springer series in synergetics
    Content: The 2nd edition of this book provides novel topics and studyies in boundaries of networks and Big Data Systems.The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics. In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems. Standard modeling approaches (based on non-linear differential equations, dynamic systems, graph theory, cellular automata, stochastic processes, or information theory) are suitable for studying local problems. However they cannot simultaneously take into account all the different facets and phenomena of a complex system, and new approaches are required to solve the challenging problem of correlations between phenomena at different levels and hierarchies, their self-organization and memory-evolutive aspects, the growth of additional structures and are ultimately required to explain why and how such complex systems can display both robustness and flexibility. This graduate-level text addresses a broader interdisciplinary audience, keeping the mathematical level essentially uniform throughout the book, and involving only basic elements from calculus, algebra, geometry and systems theory.
    Note: Introduction -- Boundaries in Visual Perception and the Arts -- Boundaries in Social Systems -- Continuous Mathematics -- Discrete Mathematics -- The Boundary in the Philosophy of Science -- Networks and their Boundaries -- Big Data Systems -- Liquid Boundaries -- Conclusions.
    Additional Edition: ISBN 9783031073601
    Additional Edition: ISBN 9783031073625
    Additional Edition: ISBN 9783031073632
    Additional Edition: Erscheint auch als Druck-Ausgabe Ludu, Andrei Boundaries of a complex world Cham : Springer, 2022 ISBN 9783031073601
    Language: English
    Keywords: Rand ; Rahmen ; Visuelle Wahrnehmung ; Soziales System ; Topologie ; Graphentheorie ; Flüssigkeitsoberfläche
    DOI: 10.1007/978-3-031-07361-8
    URL: lizenzpflichtig
    URL: Cover
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Open Access Request
    UB Potsdam
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