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Spatial Complexity
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.
Modelling Landscape Dynamics
This book offers a comprehensive exposition of the mathematical methods that can be used to model landscape dynamics. It is systematically shown how mathematical models of progressively higher complexity can be derived from ordinary landscape maps and related data in ways that enable researchers to predict future landscape transformations and to assess landscape stability, sustainability and resilience.These models are deterministic (i.e. linear or non-linear systems of differential equations), stochastic (i.e. Markovian), or combined deterministic-and-stochastic (using stochastic differential equations), whereas topics and challenging problems related to complexity (spatial randomness, chaotic behaviors, riddled systems etc) are also examined in the book.
Spatial Entropy and Landscape Analysis
This is the first book on spatial entropy in the scientific literature. It links spatial entropy with landscape analysis, landscape diversity and geo-information. It gives all the essential tools that a researcher needs in order to study the spatial entropy of physical as well as artificial landscapes (created with artificial life, swarm intelligence etc). This book explores the fascinating world of the interplay between spatial entropy, spatial information, self-organization and emergence and gives geographers and landscape scientists several alternative mathematical methods to study them, i.e. Shannon's formula, measures from non-extensive thermodynamics, from directional statistics and network theory. An essential book for researchers in landscape analysis and geo-informatics.
Landscape Conflicts
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The Social Construction of Landscapes in Games
The book is dedicated to a compilation of diverse and creative landscapes which occur in games. Being part of a game setting, these landscapes trigger social construction processes in specific ways. A selection of twenty-four research articles addresses the social constructions of landscapes represented in analogue, digital and hybrid game formats as well as their theoretical framing and future perspectives.
Mycenaean Civilization
Classical Greeks considered the Mycenaean civilization to be the basis of their glorious and heroic heritage, but its material existence was not confirmed until the excavations of Heinrich Schliemann in the late nineteenth century. In the ensuing years, as with the field of archaeology in general, emphasis has shifted from revealing monuments and finding treasure to dealing with less glamorous, more scientifically-oriented investigations concerning aspects such as social and political organization, economic functions and settlement patterns. With its more than 2000 entries, this reference work serves as both an introduction to and a summary of the study of ancient Mycenaean civilization. Considerably expanded from the first edition, there are 500 new entries representing materials published since 1991. The largest part of the book is made up of annotated bibliography entries arranged topically with introductory material for each section. The book also includes a general introduction to Mycenaean civilization, a glossary, and author, place and subject indexes.
Geo-Topology
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.
Modern Approaches to the Visualization of Landscapes
The volume deals with the effects of digitization on spatial and especially landscape construction processes and their visualization. A focus lies on the generation mechanisms of 'landscapes' with digital tools of cartography and geomatics, including possibilities to model and visualize non-visual stimuli, but also spatial-temporal changes of physical space. Another focus is on how virtual spaces have already become part of the social and individual construction of landscape. Potentials of combining modern media of spatial visualization and (constructivist) landscape research are discussed.
Architecture in the Space of Flows
Traditionally, architecture has been preoccupied with the resolution of form. That concern helps to make photogenic buildings, which have received a great deal of attention. This book looks instead at the idea of the flows, which connects things together and moves between things. It is more difficult to discuss, but more necessary, because it is what makes things work. Architects have to think about flow – the flow of people through buildings, the flow of energy into buildings, and waste out of them – but usually the effects of flow do not find expression. The essays gathered here present a collection of exploratory ideas and offer an understanding of buildings, people and settlements through concepts of flow.
