Discrimination of subsurface unexploded ordnance 1. The problem and its nature 2. Basic phenomenology 3. MQS modeling and fundamental sensitivities 4. Inverse problems and solving for quantities of interest 5. Sensors and the modeling they require 6. Advanced physical modeling of responses 7. Computation directly supporting discrimination 8. Classification Appendix: Vector tensor and matrix notation Unexploded ordnance (UXO) pose a persistent and expensive problem throughout the world; over 11 million acres are potentially contaminated in the U.S. alone. However detection requires a very high degree of reliability the false alarm rate is typically enormous and cleanup costs are very high. This Tutorial Text addresses the unique challenges of UXO detection and the following topics: fundamental physics and phenomenology; new successful modeling and analysis methods; the design development and testing of new instruments that provide expanded and superior data; innovative processing techniques; and highly successful discrimination performance in blind field tests at standardized sites. The book is written for lay scientists and engineers as well as specialists in the field requiring only some familiarity with basic vector calculus and matrix methods common statistical concepts and elementary physics.