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Geo-Topology

Author: Fivos Papadimitrou

Publisher: Springer Nature

Published: 2024-01-05

Total Pages: 192

ISBN-13: 3031481852

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Geo-Topology is an exploration of the depth and breadth of the relationships between Geography and Topology, with applications ranging from Landscape Geography to Social Geography and from Spatial Analysis to Geospatial Technologies. It shows how topics of geographical research (landscapes, borders, spatial social relationships etc) can be examined by using mathematical concepts and methods of Topology, exposing the realm of geo-topological modelling and visualization through Point-Set Topology, Knot Theory, Reeb graphs, Topological Surfaces (i.e. Möbius bands and Klein bottles), Differential Topology, Network Analysis, Combinatorial Topology, Braid Theory and Ultrametric Topology. Besides geographers, this book is a trove of new ideas for landscape ecologists, mathematicians, data scientists, sociologists, psychologists, anthropologists and educators. Geo-Topology is a systematic introduction to topological thinking in Geography, also by highlighting the significance of Topology for Geographical Education, as well as for the Philosophy and Epistemology of Geography.

Book Synopsis Geo-Topology by : Fivos Papadimitrou

Download or read book Geo-Topology written by Fivos Papadimitrou and published by Springer Nature. This book was released on 2024-01-05 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geo-Topology is an exploration of the depth and breadth of the relationships between Geography and Topology, with applications ranging from Landscape Geography to Social Geography and from Spatial Analysis to Geospatial Technologies. It shows how topics of geographical research (landscapes, borders, spatial social relationships etc) can be examined by using mathematical concepts and methods of Topology, exposing the realm of geo-topological modelling and visualization through Point-Set Topology, Knot Theory, Reeb graphs, Topological Surfaces (i.e. Möbius bands and Klein bottles), Differential Topology, Network Analysis, Combinatorial Topology, Braid Theory and Ultrametric Topology. Besides geographers, this book is a trove of new ideas for landscape ecologists, mathematicians, data scientists, sociologists, psychologists, anthropologists and educators. Geo-Topology is a systematic introduction to topological thinking in Geography, also by highlighting the significance of Topology for Geographical Education, as well as for the Philosophy and Epistemology of Geography.

Geo-Spatial Knowledge and Intelligence

Author: Hanning Yuan

Publisher: Springer

Published: 2017-03-02

Total Pages: 497

ISBN-13: 9811039690

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The two volume proceedings of CCIS 698 and 699 constitutes revised selected papers from the 4th International Conference on Geo-Informatics in Resource Management and Sustainable Ecosystem, GRMSE 2016, held in Hong Kong, China, in November 2016. The total of 118 papers presented in these proceedings were carefully reviewed and selected from 311 submissions. The contributions were organized in topical sections named: smart city in resource management and sustainable ecosystem; spatial data acquisition through RS and GIS in resource management and sustainable ecosystem; ecological and environmental data processing and management; advanced geospatial model and analysis for understanding ecological and environmental processes; applications of geo-informatics in resource management and sustainable ecosystem.

Book Synopsis Geo-Spatial Knowledge and Intelligence by : Hanning Yuan

Download or read book Geo-Spatial Knowledge and Intelligence written by Hanning Yuan and published by Springer. This book was released on 2017-03-02 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two volume proceedings of CCIS 698 and 699 constitutes revised selected papers from the 4th International Conference on Geo-Informatics in Resource Management and Sustainable Ecosystem, GRMSE 2016, held in Hong Kong, China, in November 2016. The total of 118 papers presented in these proceedings were carefully reviewed and selected from 311 submissions. The contributions were organized in topical sections named: smart city in resource management and sustainable ecosystem; spatial data acquisition through RS and GIS in resource management and sustainable ecosystem; ecological and environmental data processing and management; advanced geospatial model and analysis for understanding ecological and environmental processes; applications of geo-informatics in resource management and sustainable ecosystem.

On the Way to Component-Based 3D/4D Geoinformation Systems

Author: Martin Breunig

Publisher: Springer

Published: 2008-01-26

Total Pages: 206

ISBN-13: 3540449507

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The book deals with two central themes: data modeling and management for 3D objects during different time states and the operning of geoinformation systems to a new generation of component-based GIS. The way from first geo-database kernel systems to a component-based GeoToolKit is presented. Furthermore, the implementation of a component-based GIS with geological and geophysical applications is described. With the common data access to a geo-database the geological and the geophysical application are brought closer together and profit from each others interpretations of the data.

Book Synopsis On the Way to Component-Based 3D/4D Geoinformation Systems by : Martin Breunig

Download or read book On the Way to Component-Based 3D/4D Geoinformation Systems written by Martin Breunig and published by Springer. This book was released on 2008-01-26 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with two central themes: data modeling and management for 3D objects during different time states and the operning of geoinformation systems to a new generation of component-based GIS. The way from first geo-database kernel systems to a component-based GeoToolKit is presented. Furthermore, the implementation of a component-based GIS with geological and geophysical applications is described. With the common data access to a geo-database the geological and the geophysical application are brought closer together and profit from each others interpretations of the data.

Topological Data Structures for Surfaces

Author: Sanjay Rana

Publisher: John Wiley & Sons

Published: 2005-12-13

Total Pages: 214

ISBN-13: 047002027X

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In Geography and GIS, surfaces can be analysed and visualised through various data structures, and topological data structures describe surfaces in the form of a relationship between certain surface-specific features. Drawn from many disciplines with a strong applied aspect, this is a research-led, interdisciplinary approach to the creation, analysis and visualisation of surfaces, focussing on topological data structures. Topological Data Structures for Surfaces: an introduction for Geographical Information Science describes the concepts and applications of these data structures. The book focuses on how these data structures can be used to analyse and visualise surface datasets from a range of disciplines such as human geography, computer graphics, metrology, and physical geography. Divided into two Parts, Part I defines the topological surface data structures and explains the various automated methods used for their generation. Part II demonstrates a number of applications of surface networks in diverse fields, ranging from sub-atomic particle collision visualisation to the study of population density patterns. To ensure that the material is accessible, each Part is prefaced by an overview of the techniques and application. Provides GI scientists and geographers with an accessible overview of current surface topology research. Algorithms are presented and explained with practical examples of their usage. Features an accompanying website developed by the Editor - http://geog.le.ac.uk/sanjayrana/surface-networks/ This book is invaluable for researchers and postgraduate students working in departments of GI Science, Geography and Computer Science. It also constitutes key reference material for Masters students working on surface analysis projects as part of a GI Science or Computer Science programme.

Book Synopsis Topological Data Structures for Surfaces by : Sanjay Rana

Download or read book Topological Data Structures for Surfaces written by Sanjay Rana and published by John Wiley & Sons. This book was released on 2005-12-13 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Geography and GIS, surfaces can be analysed and visualised through various data structures, and topological data structures describe surfaces in the form of a relationship between certain surface-specific features. Drawn from many disciplines with a strong applied aspect, this is a research-led, interdisciplinary approach to the creation, analysis and visualisation of surfaces, focussing on topological data structures. Topological Data Structures for Surfaces: an introduction for Geographical Information Science describes the concepts and applications of these data structures. The book focuses on how these data structures can be used to analyse and visualise surface datasets from a range of disciplines such as human geography, computer graphics, metrology, and physical geography. Divided into two Parts, Part I defines the topological surface data structures and explains the various automated methods used for their generation. Part II demonstrates a number of applications of surface networks in diverse fields, ranging from sub-atomic particle collision visualisation to the study of population density patterns. To ensure that the material is accessible, each Part is prefaced by an overview of the techniques and application. Provides GI scientists and geographers with an accessible overview of current surface topology research. Algorithms are presented and explained with practical examples of their usage. Features an accompanying website developed by the Editor - http://geog.le.ac.uk/sanjayrana/surface-networks/ This book is invaluable for researchers and postgraduate students working in departments of GI Science, Geography and Computer Science. It also constitutes key reference material for Masters students working on surface analysis projects as part of a GI Science or Computer Science programme.

Geographic Information Systems and Science

Author: Paul Longley

Publisher: John Wiley & Sons

Published: 2005-03-22

Total Pages: 546

ISBN-13: 9780470870013

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Features a five part structure covering: Foundations; Principles; Techniques; Analysis; and Management and Policy. This book includes chapters on Distributed GIS, Map Production, Geovisualization, Modeling, and Managing GIS. It offers coverage of such topics as: GIS and the New World Order; security, health and well being; and the greening of GIS.

Book Synopsis Geographic Information Systems and Science by : Paul Longley

Download or read book Geographic Information Systems and Science written by Paul Longley and published by John Wiley & Sons. This book was released on 2005-03-22 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features a five part structure covering: Foundations; Principles; Techniques; Analysis; and Management and Policy. This book includes chapters on Distributed GIS, Map Production, Geovisualization, Modeling, and Managing GIS. It offers coverage of such topics as: GIS and the New World Order; security, health and well being; and the greening of GIS.

Differential Topology

Author: Victor Guillemin

Publisher: American Mathematical Soc.

Published: 2010

Total Pages: 242

ISBN-13: 0821851934

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Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack's book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within. The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By relying on a unifying idea--transversality--the authors are able to avoid the use of big machinery or ad hoc techniques to establish the main results. In this way, they present intelligent treatments of important theorems, such as the Lefschetz fixed-point theorem, the Poincaré-Hopf index theorem, and Stokes theorem. The book has a wealth of exercises of various types. Some are routine explorations of the main material. In others, the students are guided step-by-step through proofs of fundamental results, such as the Jordan-Brouwer separation theorem. An exercise section in Chapter 4 leads the student through a construction of de Rham cohomology and a proof of its homotopy invariance. The book is suitable for either an introductory graduate course or an advanced undergraduate course.

Book Synopsis Differential Topology by : Victor Guillemin

Download or read book Differential Topology written by Victor Guillemin and published by American Mathematical Soc.. This book was released on 2010 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack's book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within. The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By relying on a unifying idea--transversality--the authors are able to avoid the use of big machinery or ad hoc techniques to establish the main results. In this way, they present intelligent treatments of important theorems, such as the Lefschetz fixed-point theorem, the Poincaré-Hopf index theorem, and Stokes theorem. The book has a wealth of exercises of various types. Some are routine explorations of the main material. In others, the students are guided step-by-step through proofs of fundamental results, such as the Jordan-Brouwer separation theorem. An exercise section in Chapter 4 leads the student through a construction of de Rham cohomology and a proof of its homotopy invariance. The book is suitable for either an introductory graduate course or an advanced undergraduate course.

Introduction to Piecewise-Linear Topology

Author: Colin P. Rourke

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 133

ISBN-13: 3642817351

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The first five chapters of this book form an introductory course in piece wise-linear topology in which no assumptions are made other than basic topological notions. This course would be suitable as a second course in topology with a geometric flavour, to follow a first course in point-set topology, andi)erhaps to be given as a final year undergraduate course. The whole book gives an account of handle theory in a piecewise linear setting and could be the basis of a first year postgraduate lecture or reading course. Some results from algebraic topology are needed for handle theory and these are collected in an appendix. In a second appen dix are listed the properties of Whitehead torsion which are used in the s-cobordism theorem. These appendices should enable a reader with only basic knowledge to complete the book. The book is also intended to form an introduction to modern geo metric topology as a research subject, a bibliography of research papers being included. We have omitted acknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices.

Book Synopsis Introduction to Piecewise-Linear Topology by : Colin P. Rourke

Download or read book Introduction to Piecewise-Linear Topology written by Colin P. Rourke and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first five chapters of this book form an introductory course in piece wise-linear topology in which no assumptions are made other than basic topological notions. This course would be suitable as a second course in topology with a geometric flavour, to follow a first course in point-set topology, andi)erhaps to be given as a final year undergraduate course. The whole book gives an account of handle theory in a piecewise linear setting and could be the basis of a first year postgraduate lecture or reading course. Some results from algebraic topology are needed for handle theory and these are collected in an appendix. In a second appen dix are listed the properties of Whitehead torsion which are used in the s-cobordism theorem. These appendices should enable a reader with only basic knowledge to complete the book. The book is also intended to form an introduction to modern geo metric topology as a research subject, a bibliography of research papers being included. We have omitted acknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices.

3D Geoinformation Science

Author: Martin Breunig

Publisher: Springer

Published: 2014-11-29

Total Pages: 254

ISBN-13: 3319121812

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Nowadays 3D Geoinformation is needed for many planning and analysis tasks. For example, 3D city and infrastructure models are paving the way for complex environmental and noise analyzes. 3D geological sub-surface models are needed for reservoir exploration in the oil-, gas-, and geothermal industry. Thus 3D Geoinformation brings together researchers and practitioners from different fields such as the geo-sciences, civil engineering, 3D city modeling, 3D geological and geophysical modeling, and, last but not least, computer science. The diverse challenges of 3D Geoinformation Science concern new approaches and the development of standards for above- and under-ground 3D modeling, efficient 3D data management, visualization and analysis. Finally, the integration of different 3D approaches and data models is seen as one of the most important challenges to be solved.

Book Synopsis 3D Geoinformation Science by : Martin Breunig

Download or read book 3D Geoinformation Science written by Martin Breunig and published by Springer. This book was released on 2014-11-29 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays 3D Geoinformation is needed for many planning and analysis tasks. For example, 3D city and infrastructure models are paving the way for complex environmental and noise analyzes. 3D geological sub-surface models are needed for reservoir exploration in the oil-, gas-, and geothermal industry. Thus 3D Geoinformation brings together researchers and practitioners from different fields such as the geo-sciences, civil engineering, 3D city modeling, 3D geological and geophysical modeling, and, last but not least, computer science. The diverse challenges of 3D Geoinformation Science concern new approaches and the development of standards for above- and under-ground 3D modeling, efficient 3D data management, visualization and analysis. Finally, the integration of different 3D approaches and data models is seen as one of the most important challenges to be solved.

Geographical Information

Author: Massimo Rumor

Publisher: IOS Press

Published: 1996

Total Pages: 814

ISBN-13: 9789051992687

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Geographical Information is defined as the collection of data on real virtual objects which have a fixed place above, on, in or beneath the surface of the earth. Geographical information involves all information on buildings, roads, pipelines, cabling, etc. as well as boundaries, air corridors, topography and postcode areas, the information can be administrative and geometric. Changes in social and economic interests have caused the emphasis to shift over the years. Virtual objects (areas, postcode areas) in particular have attracted more interest in recent years. This is closely related to the increased desirability of analysing and presenting policy information within certain spatial limits, in which the introduction of Geographical Information Systems (GIS) and systems like GIS has played a significant role. Geographical Information cannot be regarded as the informational side of one policy area. Geographical information is not only necessary for the layout and management of space, but also for such things as taxation, environmental policy, water management, maintenance and protection of pipeline systems and making maps. The volumes address the latest developments with respect to technological innovation, scientific progress and advanced professional application in the field of geographical information. In addition, articles dealing with the state of the art and coming innovations with respect to major fields of GI research and application are included. The books cover the following areas of specific interest topics with the current scope of geographical information research: geographical information technolgy; geographical information and environment; geographical information planning; geographical information in urban and regional government; geographical information inutilities, telecom and private enterprise; geographical information education and awareness; geographical information in Spain.

Book Synopsis Geographical Information by : Massimo Rumor

Download or read book Geographical Information written by Massimo Rumor and published by IOS Press. This book was released on 1996 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geographical Information is defined as the collection of data on real virtual objects which have a fixed place above, on, in or beneath the surface of the earth. Geographical information involves all information on buildings, roads, pipelines, cabling, etc. as well as boundaries, air corridors, topography and postcode areas, the information can be administrative and geometric. Changes in social and economic interests have caused the emphasis to shift over the years. Virtual objects (areas, postcode areas) in particular have attracted more interest in recent years. This is closely related to the increased desirability of analysing and presenting policy information within certain spatial limits, in which the introduction of Geographical Information Systems (GIS) and systems like GIS has played a significant role. Geographical Information cannot be regarded as the informational side of one policy area. Geographical information is not only necessary for the layout and management of space, but also for such things as taxation, environmental policy, water management, maintenance and protection of pipeline systems and making maps. The volumes address the latest developments with respect to technological innovation, scientific progress and advanced professional application in the field of geographical information. In addition, articles dealing with the state of the art and coming innovations with respect to major fields of GI research and application are included. The books cover the following areas of specific interest topics with the current scope of geographical information research: geographical information technolgy; geographical information and environment; geographical information planning; geographical information in urban and regional government; geographical information inutilities, telecom and private enterprise; geographical information education and awareness; geographical information in Spain.

Geo-Informatics in Resource Management and Sustainable Ecosystem

Author: Fuling Bian

Publisher: Springer

Published: 2013-10-30

Total Pages: 799

ISBN-13: 3642450253

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This two volume set (CCIS 398 and 399) constitutes the refereed proceedings of the International Conference on Geo-Informatics in Resource Management and Sustainable Ecosystem, GRMSE 2013, held in Wuhan, China, in November 2013. The 136 papers presented, in addition to 4 keynote speeches and 5 invited sessions, were carefully reviewed and selected from 522 submissions. The papers are divided into 5 sessions: smart city in resource management and sustainable ecosystem, spatial data acquisition through RS and GIS in resource management and sustainable ecosystem, ecological and environmental data processing and management, advanced geospatial model and analysis for understanding ecological and environmental process, applications of geo-informatics in resource management and sustainable ecosystem.

Book Synopsis Geo-Informatics in Resource Management and Sustainable Ecosystem by : Fuling Bian

Download or read book Geo-Informatics in Resource Management and Sustainable Ecosystem written by Fuling Bian and published by Springer. This book was released on 2013-10-30 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume set (CCIS 398 and 399) constitutes the refereed proceedings of the International Conference on Geo-Informatics in Resource Management and Sustainable Ecosystem, GRMSE 2013, held in Wuhan, China, in November 2013. The 136 papers presented, in addition to 4 keynote speeches and 5 invited sessions, were carefully reviewed and selected from 522 submissions. The papers are divided into 5 sessions: smart city in resource management and sustainable ecosystem, spatial data acquisition through RS and GIS in resource management and sustainable ecosystem, ecological and environmental data processing and management, advanced geospatial model and analysis for understanding ecological and environmental process, applications of geo-informatics in resource management and sustainable ecosystem.