Geophilosophy and Epistemology of Spatial Complexity
Adding difference to an undifferentiated surface or object is the first step towards increasing its spatial complexity (this difference can be thematic, geometric, topological etc). The philosophy of Gilles Deleuze appears particularly suited to explain s
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Spatial Complexity Theory, Mathematical Methods and Applications
Spatial Complexity
Fivos Papadimitriou
Spatial Complexity Theory, Mathematical Methods and Applications
123
Fivos Papadimitriou Forschungsbereich Geographie Mathematisch-Naturwissenschaftliche Fakultät Universität Tübingen Tübingen, Germany
ISBN 978-3-030-59670-5 ISBN 978-3-030-59671-2 https://doi.org/10.1007/978-3-030-59671-2
(eBook)
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To the memory of my parents
Preface
By “spatial complexity” is meant the complexity of surfaces and spatial objects of dimension 2 or higher. Its manifestations in nature are manifold and so are its implications for science and technology. Although it is primarily important for mathematics, geography, ecology, physics, psychology, aesthetics, medicine, engineering, it relates to everyone and everything. This is because it is behind all spatial processes and spatial distributions that give rise to the diversity and heterogeneity observed in spatial forms. It is therefore unsurprising that its assessment is so tricky. Yet, we need indices and methods to assess it for practical purposes. This book goes beyond the well-known and well-established field of “complex systems” which aims to examine the various behaviours of complex systems. Instead of focusing on the intensely and widely researched “complex dynamics” (involving nonlinear behaviours, chaos, etc.), its focus is on explaining why some spatial form, region, figure, object or surface is complex, why is it more complex than another and how much so. Hence,
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