Mathematics and Archaeology
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Although many archaeologists have a good understanding of the basics in computer science, statistics, geostatistics, modeling, and data mining, more literature is needed about the advanced analysis in these areas. This book aids archaeologists in learning more advanced tools and methods while also helping mathematicians, statisticians, and computer Mathematics and Archaeology Foreword Preface Contents Introduction 1 Measuring, Counting and Explaining: An Introduction to Mathematics in Archaeology 2 A Short History of the Beginnings of Mathematics in Archaeology 3 The Formal Logical Foundations of Archaeological Ontologies 4 Statistical Reasoning and Archaeological Theorizing: The Double-Bind Problem 5 Social Network Analysis for Sharing and Understanding Archaeology The Mathematics of Ancient Artifacts 6 Shape Analysis and Geometric Modelling 7 Curvature-Based Method for the Morphometric Analysis of Archaeological Shapes 8 Logratio Analysis in Archeometry: Principles and Methods 9 An Introduction to Clustering with Applications to Archaeometry 10 Archaeological Discriminant Applications of the Lubischew Test 11 Phylogenetic Systematics 12 Text Mining in Archaeology: Extracting Information from Archaeological Reports The Mathematics of Archaeological Time and Space 13 Time, Chronology and Classification 14 Bayesian Approaches to the Building of Archaeological Chronologies 15 Modelling the Effects of Post-depositional Transformations of Artifact Assemblages using Markov Chains 16 Time and Probabilistic Reasoning in Settlement Analysis 17 Predictive Modeling and Artificial Neural Networks: From Model to Survey 18 Spatial Cluster Detection in Archaeology: Current Theory and Practice 19 Non-Euclidean Distances in Point Pattern Analysis: Anisotropic Measures for the Study of Settlement Networks in Heterogeneous Regions 20 Lattice Theory to Discover Spatially Cohesive Sets of Artifacts Beyond Mathematics: Modeling Social Action in the Past 21 Gradient Adaptive Dynamics Describes Innovation and Resilience at the Society Scale 22 Two-dimensional Models of Human Dispersals: Tracking Reaction-Diffusion Fronts on Heterogeneous Surfaces 23 The Sustainability of Wealth among Nomads: An Agent-Based Approach 24 Simulating the Emergence of Proto-Urban Centres in Ancient Southern Etruria 25 The Probabilities of Prehistoric Events: A Bayesian Network Approach Conclusions 26 Concluding Address: Ruminations on Mathematics in Archaeology 27 “Mathematics and Archaeology” Rediscovered Color Plate Section
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