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Author: Fivos Papadimitrou
Publisher: Springer Nature
ISBN: 3031481852
Category : Social Science
Languages : en
Pages : 192
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Book Description
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.
Author: Fivos Papadimitrou
Publisher: Springer Nature
ISBN: 3031481852
Category : Social Science
Languages : en
Pages : 192
Get Book Here
Book Description
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.
Author: Hanning Yuan
Publisher: Springer
ISBN: 9811039690
Category : Computers
Languages : en
Pages : 538
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Book Description
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.
Author: Herbert Edelsbrunner
Publisher: American Mathematical Society
ISBN: 1470467690
Category : Mathematics
Languages : en
Pages : 241
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Book Description
Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.
Author: Victor Guillemin
Publisher: American Mathematical Soc.
ISBN: 0821851934
Category : Mathematics
Languages : en
Pages : 242
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Book Description
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.
Author: Mr Ron Lake
Publisher: John Wiley & Sons
ISBN: 9780470871539
Category : Science
Languages : en
Pages : 420
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Book Description
The development of the Internet has changed the environment for Geographical Information Systems (GIS), with the emphasis shifting from analysis to the sharing of data and information over the Internet thus making GIS more mobile and powerful. The Geography Mark-Up Language (GML) was developed as the standard language and is emerging as the foundation for Internet GIS. Geography Mark-Up Language: Foundation for the Geo-Web provides a broad coverage of the use of GML in different application areas, along with the technical means for building these applications. Starting from the basic concepts, this book works through all the important topics in both GML 2.0 and GML 3.0, with illustrations and worked examples to demonstrate its use. Organized into two sections, Volume I introduces readers to the new world of GML, and explains how it can be used across a broad range of GIS projects. It deals with the basic concepts of XML and GML, and enables readers to make decisions on the utility of GML in their projects and software acquisitions. Volume II is intended for the technical reader and answers questions on the meaning and structure of GML schema components, the development of GML application schemas, and the use of GML in connection with web services, legacy GIS and relational databases. Contains worked examples Covers all aspects of GML 3.0 from geometry and topology to units of measure, default styling and coverages Explains the Geo-Web and its impact on vertical applications Authored by leading figures in GML development This book is a must have for GIS vendors, system integrators and data providers; local/state/provincial and national government agencies; utilities and telecommunication companies; location-based services companies; data distributors; software developers and technical managers. It would make an excellent reference for mid and upper-level undergraduate students and Masters students taking technical GIS modules as part of a GIS or Technical Geography programmes.
Author: Eliran Bar-El
Publisher: Springer Nature
ISBN: 3030870529
Category : Social Science
Languages : en
Pages : 124
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Book Description
This book presents a set theoretical approach to sociological research. It revisits existing sociological approaches and discusses their limitations, before suggesting an alternative. While the existing canonical approaches of Positivism, Conflictualism, and Pragmatism are based on biology, history, and physics, respectively, the set theoretical approach is based on mathematics. Utilising its philosophical exploration delineated by Alain Badiou, the book further translates his work into the field of social science. The result of this translation is termed Multiplitism, which evades the limiting contradictions of existing approaches. Drawing on the mathematical notion of ‘set’ and relating it to recent sociological turns such as the relational and the ontological, the book proposes a scale-relativity through which the researcher (as subject) and the researched (as object) are integrated. The book will be of interest to social scientists, particularly social theorists and advanced level students.
Author: Ron Lake
Publisher: John Wiley & Sons
ISBN: 9780470871546
Category : Science
Languages : en
Pages : 410
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Book Description
The development of the Internet has changed the environment for Geographical Information Systems (GIS), with the emphasis shifting from analysis to the sharing of data and information over the Internet thus making GIS more mobile and powerful. The Geography Mark-Up Language (GML) was developed as the standard language and is emerging as the foundation for Internet GIS. Geography Mark-Up Language: Foundation for the Geo-Web provides a broad coverage of the use of GML in different application areas, along with the technical means for building these applications. Starting from the basic concepts, this book works through all the important topics in both GML 2.0 and GML 3.0, with illustrations and worked examples to demonstrate its use. Organized into two sections, Volume I introduces readers to the new world of GML, and explains how it can be used across a broad range of GIS projects. It deals with the basic concepts of XML and GML, and enables readers to make decisions on the utility of GML in their projects and software acquisitions. Volume II is intended for the technical reader and answers questions on the meaning and structure of GML schema components, the development of GML application schemas, and the use of GML in connection with web services, legacy GIS and relational databases. Contains worked examples Covers all aspects of GML 3.0 from geometry and topology to units of measure, default styling and coverages Explains the Geo-Web and its impact on vertical applications Authored by leading figures in GML development This book is a must have for GIS vendors, system integrators and data providers; local/state/provincial and national government agencies; utilities and telecommunication companies; location-based services companies; data distributors; software developers and technical managers. It would make an excellent reference for mid and upper-level undergraduate students and Masters students taking technical GIS modules as part of a GIS or Technical Geography programmes.
Author: Martin Breunig
Publisher: Springer
ISBN: 3540449507
Category : Science
Languages : en
Pages : 206
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Book Description
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.
Author: Sisi Zlatanova
Publisher: CRC Press
ISBN: 1000654273
Category : Technology & Engineering
Languages : en
Pages : 197
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Book Description
Large-Scale 3D Data Integration: Challenges and Opportunities examines the fundamental aspects of 3D geo-information, focusing on the latest developments in 3D GIS (geographic information) and AEC (architecture, engineering, construction) systems. This book addresses policy makers, designers and engineers, and individuals that need to overco
Author: Xuan Zhu
Publisher: Taylor & Francis
ISBN: 1040091474
Category : Science
Languages : en
Pages : 584
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Book Description
Geographical information systems (GIS) are powerful tools for reporting on the environment, natural resources and social and economic development; modelling the environmental, biophysical, social and economic processes; assessing environmental and social impacts; evaluating environmental, social and economic policies and actions and dissimilating spatial information. Geographical Information Systems: A Practical Approach provides the fullest available introduction to GIS and their environmental, social and economic applications. This new edition has been substantially revised and updated to incorporate the key developments in GIS technology and spatial data science and their applications that have taken place in recent years. The key features include: A comprehensive coverage of concepts, methods, techniques and tools in GIS for spatial data capturing, processing, visualisation, analysis, modelling and decision-making Incorporation of advanced machine learning techniques for spatial data analysis and modelling Extended coverage of spatial visualisation with 3D mapping and online mapping Weaving together of GIS theory and practice to help readers learn important GIS concepts and methods and develop their understanding through practicals with ArcGIS Pro or QGIS New and updated case studies illustrating the innovative use of GIS for a wide range of applications The second edition of this text continues to bring up-to-date GIS knowledge, tools and practices into one cohesive, comprehensive, concise and self-contained book which is accessible to students, scientists and practitioners in environmental science, earth science, geography, archaeology and other scientific studies that have a spatial dimension.
