Mathematics and Archaeology

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Mathematics and Archaeology

Mathematics and Archaeology
by Juan A. Barcelo and Igor Bogdanovic
CRC Press | June 2015 | ISBN-10: 1482226812 | PDF | 528 pages | 19 MB

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 scientists with no previous knowledge of the field realize the potential of the methods in archaeological experiments.
Foreword v
Preface ix
1. Measuring, Counting and Explaining: An Introduction to Mathematics in Archaeology 3
2. A Short History of the Beginnings of Mathematics in Archaeology 65
3. The Formal Logical Foundations of Archaeological Ontologies 86
4. Statistical Reasoning and Archaeological Theorizing:The Double-Bind Problem 100
5. Social Network Analysis for Sharing and Understanding Archaeology 123
6. Shape Analysis and Geometric Modelling 137
7. Curvature-Based Method for the Morphometric Analysis of Archaeological Shapes 157
8. Logratio Analysis in Archeometry: Principles and Methods 178
9. An Introduction to Clustering with Applications to Archaeometry 190
10. Archaeological Discriminant Applications of the Lubischew Test 214
11. Phylogenetic Systematics 225
12. Text Mining in Archaeology: Extracting Information from Archaeological Reports 240
13. Time, Chronology and Classifi cation 257
14. Bayesian Approaches to the Building of Archaeological Chronologies 272
15. Modelling the Effects of Post-depositional Transformations of
Artifact Assemblages using Markov Chains 293
16. Time and Probabilistic Reasoning in Settlement Analysis 314
17. Predictive Modeling and Artifi cial Neural Networks (ANN):From Model to Survey 335
18. Spatial Cluster Detection in Archaeology: Current Theory and Practice 352
19. Non-Euclidean Distances in Point Pattern Analysis: Anisotropic
Measures for the Study of Settlement Networks in Heterogeneous Regions 369
20. Lattice Theory to Discover Spatially Coh esive Sets of Artifacts 383
21. Gradient Adaptive Dynamics Describes Innovation and 405
22. Two-dimensional Models of Human Dispersals: Tracking
Reaction-Diffusion Fronts on Heterogeneous Surfaces 416
23. The Sustainability of Wealth among Nomads: An Agent-Based Approach 431
24. Simulating the Emergence of Proto-Urban Centres in Ancient Southern Etruria 449
25. The Probabilities of Prehistoric Events: A Bayesian 464
Juan A. Barceló, Florencia Del Castillo and Laura Mameli
26. Concluding Address: Ruminations on Mathematics in Archaeology 487
27. “Mathematics and Archaeology” Rediscovered 491
Index 501
Color Plate Section 507
Mathematics and Archaeology

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