Overview
- Presents an accessible mathematical foundation of Spatial Complexity
- Provides simple methods for assessing the Spatial Complexity of small maps
- Examines Spatial Complexity in an interdisciplinary manner, with applications in natural sciences, technology, and humanities
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Table of contents (18 chapters)
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Front Matter
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Introducing Spatial Complexity
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Front Matter
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The Mathematical Basis of Spatial Complexity
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Front Matter
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Understanding Spatial Complexity
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Front Matter
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Epistemological, Psychological, Geophilosophical and Aesthetic Perspectives on Spatial Complexity
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Front Matter
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Keywords
About this book
This book delivers stimulating input for a broad range of researchers, from geographers and ecologists to psychologists interested in spatial perception and physicists researching in complex systems.
How can one decide whether one surface or spatial object is more complex than another?
What does it require to measure the spatial complexity of small maps, and why does this matter for nature, science and technology?
Drawing from algorithmics, geometry, topology, probability and informatics, and with examples from everyday life, the reader is invited to cross the borders into the bewildering realm of spatial complexity, as it emerges from the study of geographic maps, landscapes, surfaces, knots, 3D and 4D objects.The mathematical and cartographic experiments described in this book lead to hypotheses and enigmas with ramifications in aesthetics and epistemology.
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Authors and Affiliations
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Bibliographic Information
Book Title: Spatial Complexity
Book Subtitle: Theory, Mathematical Methods and Applications
Authors: Fivos Papadimitriou
DOI: https://doi.org/10.1007/978-3-030-59671-2
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-59670-5Published: 03 November 2020
Softcover ISBN: 978-3-030-59673-6Published: 03 November 2021
eBook ISBN: 978-3-030-59671-2Published: 02 November 2020
Edition Number: 1
Number of Pages: XXI, 298
Number of Illustrations: 29 b/w illustrations, 149 illustrations in colour
Topics: Complex Systems, Geography, general, Topology, Cognitive Psychology, Biodiversity