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Link de la búsquedaTopology-based Methods in Visualization / SpringerLink (Online service) ; Helwig Hauser ; Hans Hagen ; Holger Theisel (2007)
Título : Topology-based Methods in Visualization Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Helwig Hauser ; Hans Hagen ; Holger Theisel Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2007 Colección: Mathematics and Visualization, ISSN 1612-3786 Número de páginas: X, 222 p Il.: online resource ISBN/ISSN/DL: 978-3-540-70823-0 Idioma : Inglés (eng) Palabras clave: Mathematics Computer graphics Visualization Topology Graphics Clasificación: 51 Matemáticas Resumen: Enabling insight into large and complex datasets is a prevalent theme in visualization research for which different approaches are pursued. Topology-based methods are built on the idea of abstracting characteristic structures such as the topological skeleton from the data and to construct the visualizations accordingly. There are currently new demands for and renewed interest in topology-based visualization solutions. This book presents 13 peer-reviewed papers as written results from the 2005 workshop “Topology-Based Methods in Visualization” that was initiated to enable additional stimulation in this field. It contains a longer chapter dedicated to a survey of the state-of-the-art, as well as a great deal of original work by leading experts that has not been published before, spanning both theory and applications. It captures key concepts and novel ideas and serves as an overview of current trends in topology-based visualization research Nota de contenido: Topology-Based Flow Visualization, The State of the Art -- Topology-guided Visualization of Constrained Vector Fields -- Scale-Space Tracking of Critical Points in 3D Vector Fields -- Feature Flow Fields in Out-of-Core Settings -- Streamline Predicates as Flow Topology Generalization -- Topology-based versus Feature-based Flow Analysis – Challenges and an Application -- Topology Based Flow Analysis and Superposition Effects -- On the Applicability of Topological Methods for Complex Flow Data -- Extraction and Visualization of Swirl and Tumble Motion from Engine Simulation Data -- Simulation Methods for Advanced Design Engineering -- A Practical Approach to Two-Dimensional Scalar Topology -- On the Role of Topology in Focus+Context Visualization -- N-dimensional Data-Dependent Reconstruction Using Topological Changes En línea: http://dx.doi.org/10.1007/978-3-540-70823-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34655 Topology-based Methods in Visualization [documento electrónico] / SpringerLink (Online service) ; Helwig Hauser ; Hans Hagen ; Holger Theisel . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2007 . - X, 222 p : online resource. - (Mathematics and Visualization, ISSN 1612-3786) .
ISBN : 978-3-540-70823-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer graphics Visualization Topology Graphics Clasificación: 51 Matemáticas Resumen: Enabling insight into large and complex datasets is a prevalent theme in visualization research for which different approaches are pursued. Topology-based methods are built on the idea of abstracting characteristic structures such as the topological skeleton from the data and to construct the visualizations accordingly. There are currently new demands for and renewed interest in topology-based visualization solutions. This book presents 13 peer-reviewed papers as written results from the 2005 workshop “Topology-Based Methods in Visualization” that was initiated to enable additional stimulation in this field. It contains a longer chapter dedicated to a survey of the state-of-the-art, as well as a great deal of original work by leading experts that has not been published before, spanning both theory and applications. It captures key concepts and novel ideas and serves as an overview of current trends in topology-based visualization research Nota de contenido: Topology-Based Flow Visualization, The State of the Art -- Topology-guided Visualization of Constrained Vector Fields -- Scale-Space Tracking of Critical Points in 3D Vector Fields -- Feature Flow Fields in Out-of-Core Settings -- Streamline Predicates as Flow Topology Generalization -- Topology-based versus Feature-based Flow Analysis – Challenges and an Application -- Topology Based Flow Analysis and Superposition Effects -- On the Applicability of Topological Methods for Complex Flow Data -- Extraction and Visualization of Swirl and Tumble Motion from Engine Simulation Data -- Simulation Methods for Advanced Design Engineering -- A Practical Approach to Two-Dimensional Scalar Topology -- On the Role of Topology in Focus+Context Visualization -- N-dimensional Data-Dependent Reconstruction Using Topological Changes En línea: http://dx.doi.org/10.1007/978-3-540-70823-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34655 Ejemplares
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Título : Frames and Locales : Topology without points Tipo de documento: documento electrónico Autores: Jorge Picado ; SpringerLink (Online service) ; Aleš Pultr Editorial: Basel : Springer Basel Fecha de publicación: 2012 Colección: Frontiers in Mathematics, ISSN 1660-8046 Número de páginas: XIX, 398p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0154-6 Idioma : Inglés (eng) Palabras clave: Mathematics Topology Clasificación: 51 Matemáticas Resumen: Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the 1920s offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the 1950s. It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory. No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories Nota de contenido: Preface -- Introduction -- I. Spaces and lattices of open sets -- II. Frames and locales. Spectra -- III. Sublocales -- IV. Structure of localic morphisms. The categories Loc and Frm -- V. Separation axioms -- VI. More on sublocales.-VII. Compactness and local compactness -- VIII. (Symmetric) uniformity and nearness -- IX. Paracompactness -- X. More about completion -- XI. Metric frames -- XII. Entourages, non-symmetric uniformity -- XIII. Connectedness -- XIV. The frame of reals and real functions -- XV. Localic groups -- Appendix I: Posets -- Appendix II: Categories -- Bibliography -- Index of Notation -- Index En línea: http://dx.doi.org/10.1007/978-3-0348-0154-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32857 Frames and Locales : Topology without points [documento electrónico] / Jorge Picado ; SpringerLink (Online service) ; Aleš Pultr . - Basel : Springer Basel, 2012 . - XIX, 398p : online resource. - (Frontiers in Mathematics, ISSN 1660-8046) .
ISBN : 978-3-0348-0154-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Topology Clasificación: 51 Matemáticas Resumen: Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the 1920s offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the 1950s. It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory. No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories Nota de contenido: Preface -- Introduction -- I. Spaces and lattices of open sets -- II. Frames and locales. Spectra -- III. Sublocales -- IV. Structure of localic morphisms. The categories Loc and Frm -- V. Separation axioms -- VI. More on sublocales.-VII. Compactness and local compactness -- VIII. (Symmetric) uniformity and nearness -- IX. Paracompactness -- X. More about completion -- XI. Metric frames -- XII. Entourages, non-symmetric uniformity -- XIII. Connectedness -- XIV. The frame of reals and real functions -- XV. Localic groups -- Appendix I: Posets -- Appendix II: Categories -- Bibliography -- Index of Notation -- Index En línea: http://dx.doi.org/10.1007/978-3-0348-0154-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32857 Ejemplares
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Título : Topology-Based Methods in Visualization II Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Hans-Christian Hege ; Konrad Polthier ; Scheuermann, Gerik Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2009 Colección: Mathematics and Visualization, ISSN 1612-3786 Número de páginas: VIII, 190 p. 89 illus., 78 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-540-88606-8 Idioma : Inglés (eng) Palabras clave: Mathematics Computer graphics Visualization Geometry Topology Computational intelligence Mechanical engineering Graphics Engineering Intelligence Clasificación: 51 Matemáticas Resumen: Visualization research aims at providing insights into large, complex bodies of data. Topological methods are distinguished by their solid mathematical foundation, guiding the algorithmic analysis and its presentation among the various visualization techniques. This book contains 13 peer-reviewed papers resulting from the second workshop on "Topology-Based Methods in Visualization", held 2007 in Grimma near Leipzig, Germany. All articles present original, unpublished work from leading experts. Together, these articles present the state of the art of topology-based visualization research Nota de contenido: Visualization of Coherent Structures in Transient 2D Flows -- Visualizing Lagrangian Coherent Structures and Comparison to Vector Field Topology -- Extraction of Separation Manifolds using Topological Structures in Flow Cross Sections -- Topology Based Selection and Curation of Level Sets -- Representing Interpolant Topology for Contour Tree Computation -- Path Line Attributes - an Information Visualization Approach to Analyzing the Dynamic Behavior of 3D Time-Dependent Flow Fields -- Flow Structure based 3D Streamline Placement -- Critical Points of the Electric Field from a Collection of Point Charges -- Visualizing global manifolds during the transition to chaos in the Lorenz system -- Streamline and Vortex Line Analysis of the Vortex Breakdown in a Confined Cylinder Flow -- Flow Topology Beyond Skeletons: Visualization of Features in Recirculating Flow -- Bringing Topology-Based Flow Visualization to the Application Domain -- Computing Center-Lines: An Application of Vector Field Topology En línea: http://dx.doi.org/10.1007/978-3-540-88606-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34044 Topology-Based Methods in Visualization II [documento electrónico] / SpringerLink (Online service) ; Hans-Christian Hege ; Konrad Polthier ; Scheuermann, Gerik . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009 . - VIII, 190 p. 89 illus., 78 illus. in color : online resource. - (Mathematics and Visualization, ISSN 1612-3786) .
ISBN : 978-3-540-88606-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer graphics Visualization Geometry Topology Computational intelligence Mechanical engineering Graphics Engineering Intelligence Clasificación: 51 Matemáticas Resumen: Visualization research aims at providing insights into large, complex bodies of data. Topological methods are distinguished by their solid mathematical foundation, guiding the algorithmic analysis and its presentation among the various visualization techniques. This book contains 13 peer-reviewed papers resulting from the second workshop on "Topology-Based Methods in Visualization", held 2007 in Grimma near Leipzig, Germany. All articles present original, unpublished work from leading experts. Together, these articles present the state of the art of topology-based visualization research Nota de contenido: Visualization of Coherent Structures in Transient 2D Flows -- Visualizing Lagrangian Coherent Structures and Comparison to Vector Field Topology -- Extraction of Separation Manifolds using Topological Structures in Flow Cross Sections -- Topology Based Selection and Curation of Level Sets -- Representing Interpolant Topology for Contour Tree Computation -- Path Line Attributes - an Information Visualization Approach to Analyzing the Dynamic Behavior of 3D Time-Dependent Flow Fields -- Flow Structure based 3D Streamline Placement -- Critical Points of the Electric Field from a Collection of Point Charges -- Visualizing global manifolds during the transition to chaos in the Lorenz system -- Streamline and Vortex Line Analysis of the Vortex Breakdown in a Confined Cylinder Flow -- Flow Topology Beyond Skeletons: Visualization of Features in Recirculating Flow -- Bringing Topology-Based Flow Visualization to the Application Domain -- Computing Center-Lines: An Application of Vector Field Topology En línea: http://dx.doi.org/10.1007/978-3-540-88606-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34044 Ejemplares
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Título : Topology, Geometry and Gauge fields : Foundations Tipo de documento: documento electrónico Autores: Gregory L. Naber ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Otro editor: Imprint: Springer Colección: Texts in Applied Mathematics, ISSN 0939-2475 num. 25 Número de páginas: XX, 437 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-7254-5 Idioma : Inglés (eng) Palabras clave: Mathematics Geometry Topology Elementary particles (Physics) Quantum field theory Particles, Field Theory Clasificación: 51 Matemáticas Resumen: This is a book on topology and geometry, and like any book on subjects as vast as these, it has a point of view that guided the selection of topics. The author’s point of view is that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The goal is to weave together rudimentary notions from the classical gauge theories of physics and the topological and geometrical concepts that became the mathematical models of these notions. The reader is assumed to have a minimal understanding of what an electromagnetic field is, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, and a solid background in real analysis and linear algebra with some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2)-connections on S4 with instanton number -1. This second edition of the book includes a new chapter on singular homology theory and a new appendix outlining Donaldson’s beautiful application of gauge theory to the topology of compact, simply connected , smooth 4-manifolds with definite intersection form. Reviews of the first edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics…Naber combines a deep knowledge of his subject with an excellent informal writing style.” (NZMS Newsletter) "...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories." (ZENTRALBLATT FUER MATHEMATIK) “The book is well written and the examples do a great service to the reader. It will be a helpful companion to anyone teaching or studying gauge theory …” (Mathematical Reviews) Nota de contenido: Contents: Preface -- Physical and geometrical motivation 1 Topological spaces -- Homotopy groups -- Principal bundles -- Differentiable manifolds and matrix Lie groups -- Gauge fields and Instantons. Appendix. References. Index En línea: http://dx.doi.org/10.1007/978-1-4419-7254-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33158 Topology, Geometry and Gauge fields : Foundations [documento electrónico] / Gregory L. Naber ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2011 . - XX, 437 p : online resource. - (Texts in Applied Mathematics, ISSN 0939-2475; 25) .
ISBN : 978-1-4419-7254-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Geometry Topology Elementary particles (Physics) Quantum field theory Particles, Field Theory Clasificación: 51 Matemáticas Resumen: This is a book on topology and geometry, and like any book on subjects as vast as these, it has a point of view that guided the selection of topics. The author’s point of view is that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The goal is to weave together rudimentary notions from the classical gauge theories of physics and the topological and geometrical concepts that became the mathematical models of these notions. The reader is assumed to have a minimal understanding of what an electromagnetic field is, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, and a solid background in real analysis and linear algebra with some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2)-connections on S4 with instanton number -1. This second edition of the book includes a new chapter on singular homology theory and a new appendix outlining Donaldson’s beautiful application of gauge theory to the topology of compact, simply connected , smooth 4-manifolds with definite intersection form. Reviews of the first edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics…Naber combines a deep knowledge of his subject with an excellent informal writing style.” (NZMS Newsletter) "...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories." (ZENTRALBLATT FUER MATHEMATIK) “The book is well written and the examples do a great service to the reader. It will be a helpful companion to anyone teaching or studying gauge theory …” (Mathematical Reviews) Nota de contenido: Contents: Preface -- Physical and geometrical motivation 1 Topological spaces -- Homotopy groups -- Principal bundles -- Differentiable manifolds and matrix Lie groups -- Gauge fields and Instantons. Appendix. References. Index En línea: http://dx.doi.org/10.1007/978-1-4419-7254-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33158 Ejemplares
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Título : Algebraic Topology : The Abel Symposium 2007 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Nils Baas ; Eric M. Friedlander ; Björn Jahren ; Paul Arne Østvær Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2009 Colección: Abel Symposia, ISSN 2193-2808 num. 4 Número de páginas: XIV, 409 p. 190 illus Il.: online resource ISBN/ISSN/DL: 978-3-642-01200-6 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry K-theory Mathematical models topology Physics Topology Modeling and Industrial Geometry K-Theory Theoretical, Computational Clasificación: 51 Matemáticas Resumen: The 2007 Abel Symposium took place at the University of Oslo in August 2007. The goal of the symposium was to bring together mathematicians whose research efforts have led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics. A common theme of this symposium was the development of new perspectives and new constructions with a categorical flavor. As the lectures at the symposium and the papers of this volume demonstrate, these perspectives and constructions have enabled a broadening of vistas, a synergy between once-differentiated subjects, and solutions to mathematical problems both old and new Nota de contenido: The Classifying Space of a Topological 2-Group -- String Topology in Dimensions Two and Three -- Floer Homotopy Theory, Realizing Chain Complexes by Module Spectra, and Manifolds with Corners -- Relative Chern Characters for Nilpotent Ideals -- Algebraic Differential Characters of Flat Connections with Nilpotent Residues -- Norm Varieties and the Chain Lemma (After Markus Rost) -- On the Whitehead Spectrum of the Circle -- Cocycle Categories -- A Survey of Elliptic Cohomology -- On Voevodsky#x0027;s Algebraic -Theory Spectrum -- Chern Character, Loop Spaces and Derived Algebraic Geometry -- Voevodsky#x0027;s Lectures on Motivic Cohomology 2000/2001 En línea: http://dx.doi.org/10.1007/978-3-642-01200-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34066 Algebraic Topology : The Abel Symposium 2007 [documento electrónico] / SpringerLink (Online service) ; Nils Baas ; Eric M. Friedlander ; Björn Jahren ; Paul Arne Østvær . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009 . - XIV, 409 p. 190 illus : online resource. - (Abel Symposia, ISSN 2193-2808; 4) .
ISBN : 978-3-642-01200-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry K-theory Mathematical models topology Physics Topology Modeling and Industrial Geometry K-Theory Theoretical, Computational Clasificación: 51 Matemáticas Resumen: The 2007 Abel Symposium took place at the University of Oslo in August 2007. The goal of the symposium was to bring together mathematicians whose research efforts have led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics. A common theme of this symposium was the development of new perspectives and new constructions with a categorical flavor. As the lectures at the symposium and the papers of this volume demonstrate, these perspectives and constructions have enabled a broadening of vistas, a synergy between once-differentiated subjects, and solutions to mathematical problems both old and new Nota de contenido: The Classifying Space of a Topological 2-Group -- String Topology in Dimensions Two and Three -- Floer Homotopy Theory, Realizing Chain Complexes by Module Spectra, and Manifolds with Corners -- Relative Chern Characters for Nilpotent Ideals -- Algebraic Differential Characters of Flat Connections with Nilpotent Residues -- Norm Varieties and the Chain Lemma (After Markus Rost) -- On the Whitehead Spectrum of the Circle -- Cocycle Categories -- A Survey of Elliptic Cohomology -- On Voevodsky#x0027;s Algebraic -Theory Spectrum -- Chern Character, Loop Spaces and Derived Algebraic Geometry -- Voevodsky#x0027;s Lectures on Motivic Cohomology 2000/2001 En línea: http://dx.doi.org/10.1007/978-3-642-01200-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34066 Ejemplares
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