Geographical Models with Mathematica

Geographical Models with Mathematica provides a fairly comprehensive overview of the types of models necessary for the development of new geographical knowledge, including stochastic models, models for data analysis, for geostatistics, for networks, for dynamic systems, for cellular automata and for multi-agent systems, all discussed in their theoretical context.

The author then provides over 65 programs, written in the Mathematica language, that formalize these models. Case studies are provided to help the reader apply these programs to their own studies.

Part 1: Modeling the Relationships between Societies and Nature Introduction 1. The Theoretical Context of Classical Geography 2. Statistical and Probability Models for Given Relationships Between Societies and the Natural Environment 3. Models of Ordinary Dynamic Systems

Part 2: Modeling Geographic Locations Introduction 4. Theories of Geographical Locations 5. Theoretical Geolocation Models

Part 3: Spatial Structures and Territorial Dynamics Introduction 6. Theories Used to Understand Territorial Structures and Dynamics 7. Models of Basic Structures: Points and Fields 8. Models of Basic Structures: Networks 9. Geographical Space as a Mixture of Basic Spatial Structures 10. Morphogenetic Macro- and Micro-models