Trustonlymovement. Life happens at the level of events not of words. Trust movement. A. Adler As its title suggests, the main goal of this book is the development of advanced fu- tions for field-based Temporal Geographical Information Systems (TGIS).These fields may describe a variety of natural, epidemiological, economical, and social phen- ena distributed across space and time.Within such a framework, the book makes an attempt to establish links between, (a) the currently conceived TGIS techniques, and (b) the Bayesian maximum entropy (BME) techniques of Modern Spatiotemporal G- statistics.This link could be vital for offering significant improvements in the advanced functions of TGIS analysis and modelling, as well as generating useful information in a variety of real-world decision making and planning situations. To achieve the above goals, the eight Chapters of the book are organized around four main themes: Concepts, mathematical tools, computer programs, and applications. In fact, the focus is mainly on the step-by-step implementation of the compu- tional BME approach and the extensive use of illustrative examples and real-world applications.Indeed, because of the applied character of the present book, no detailed theoretical explanations or mathematical derivations are included.Instead, the reader is referred to the earlier book by Christakos (Modern Spatiotemporal Geostatistics, Oxford Univ.Press, New York, N.Y., 2000) for a comprehensive presentation of these BME aspects.With this in mind, the chapter-by-chapter organization of the book is described next.