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This book explores the concept of a map as a fundamental data type. It defines maps at three levels. The first is an abstract level, in which mathematic concepts are leveraged to precisely explain maps and operational semantics. The second is at a discrete level, in which graph theory is used to create a data model with the goal of implementation in computer systems. Finally, maps are examined at an implementation level, in which the authors discuss the implementation of a fundamental map data type in database systems. The map data type presented in this book creates new mechanisms for the storage, analysis, and computation of map data objects in any field that represents data in a map form. The authors develop a model that includes a map data type capable of representing thematic and geometric attributes in a single data object. The book provides a complete example of mathematically defining a data type, ensuring closure properties of those operations, and then translating that type into a state that is suited for implementation in a particular context. The book is designed for researchers and professionals working in geography or computer science in a range of fields including navigation, reasoning, robotics, geospatial analysis, data management, and information retrieval.

Computer science. --- Computer science --- Computers. --- Geographical information systems. --- Regional economics. --- Spatial economics. --- Computer Science. --- Information Systems and Communication Service. --- Geographical Information Systems/Cartography. --- Regional/Spatial Science. --- Discrete Mathematics in Computer Science. --- Mathematics. --- Mappings (Mathematics) --- Data types (Computer science) --- Maps (Mathematics) --- Programming languages (Electronic computers) --- Functions --- Functions, Continuous --- Topology --- Transformations (Mathematics) --- Information systems. --- Computational complexity. --- Complexity, Computational --- Electronic data processing --- Machine theory --- Economics --- Regional planning --- Regionalism --- Space in economics --- Geographical information systems --- GIS (Information systems) --- Information storage and retrieval systems --- Geography --- Computer science—Mathematics. --- Spatial economics --- Regional economics --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Calculators --- Cyberspace