1. Forward -- 2. Preface -- 3. Introduction -- 4. Part I. Chapter 1 Kriging, Splines, Conditional Simulation, Bayesian In-version and Ensemble Kalman Filtering -- 5. Chapter 2 A Statistical Commentary on Mineral Prospectivity analysis -- 6. Chapter 3 Testing joint conditional independence of categorical random variables with a standard log-likelihood ratio test -- 7. Chapter 4 Modelling Compositional Data. The Sample Space Approach -- 8. Chapter 5 Properties of Sums of Geological Random Variables -- 9. Chapter 6 A Statistical Analysis of the Jacobian in Retrievals of Satellite Data -- 10. Chapter 7 All Realizations All the Time -- 11. Chapter 8 Binary Coefficients Redux -- 12. Chapter 9 Tracking Plurigaussian Simulations -- 13. Chapter 10 Mathematical Geosciences: Local Singularity Analysis of Nonlinear Earth Processes and Extreme Geo-Events -- 14. Chapter 11 Electrofacies in Reservoir Characterization -- 15. Chapter 12 Forecast of Shoreline Variations by Means of Median Sets -- 16. Chapter 13 An Introduction to the Spatio-Temporal Analysis of Sat-ellite Remote Sensing Data for Geostatisticians -- 17. Chapter 14 Flint drinking water crisis: a first attempt to model geo-statistically the space-time distribution of water lead levels -- 18. Chapter 15 Statistical Parametric Mapping for Geoscience Applications -- 19. Chapter 16 Water chemistry: are new challenges possible from CoDA (Compositional Data Analysis) point of view? -- 20. Chapter 17 Analysis of the United States Portion of the North American Soil Geochemical Landscapes Project - A Compositional Framework Approach -- 21. Chapter 18 Quantifying the Impacts of Uncertainty -- 22. Chapter 19. Advances in Sensitivity Analysis of Uncertainty due to Sampling Density for Spatially Correlated Attributes -- 23. Chapter 20 Predicting Molybdenum Deposit Growth -- 24. Chapter 21 General Framework of Quantitative Target Selections -- 25. Chapter 22 Solving the Wrong Resource Assessment Problems Precisely -- 26. Chapter 23 two ideas for analysis of multivariate geochemical survey data: proximity regression and principal component residuals -- 27. Chapter 24 Mathematical minerals: A history of petrophysical petrography -- 28. Chapter 25 Geostatistics for Seismic Characterization of Oil Reservoirs -- 29. Chapter 26 Statistical Modeling of Regional and Worldwide Size-Frequency Distributions of Metal Deposits -- 30. Chapter 27 Bayesianism in the Geosciences -- 31.Chapter 28 Geological Objects and Physical Parameter Fields in the Subsurface: A Review -- 32.Chapter 29 Fifty Years of Kriging -- 33. Chapter 30 Multiple Point Statistics: A Review -- 34. Chapter 31 When Should We Use Multiple-Point Geostatistics? -- 35. Chapter 32 The Origins of the Multiple-Point Statistics (MPS) Algorithm -- 36. Chapter 33 Predictive Geometallurgy: An Interdisciplinary Key Challenge for Mathematical Geosciences? -- 37. Chapter 34 Data Science for Geoscience: Leveraging Mathematical Geosciences with Semantics and Open Data -- 38. Chapter 35 Mathematical Morphology in Geosciences and GISci: An Illustrative Review -- 39. Chapter 36 IAMG: Recollections from the Early Years -- 40. Chapter 37 Forward and Inverse Models over 70 Years -- 41. Chapter 38 From individual personal contacts 1962-1968 to my 50 years of service -- 42. Chapter 39 Andrey Borisovich Vistelius -- 43. Chapter 40 Fifty Years' Experience with Hidden Errors in Applying Classic Mathematical Geology -- 44. Chapter 41 Mathematical Geology by Example: Teaching and Learning Perspectives. .