1. Introduction -- 2. Basic mathematical concepts -- 3. Safety and reliability basics -- 4. Methods for performing safety and reliability analyses in the oil and gas industry -- 5. Safety in offshore oil and gas industry -- 6. Case studies of oil tanker spill-related accidents and oil tanker spill analysis -- 7. Human factors contribution to accidents in the oil and gas industry and fatalities in the industry -- 8. Case studies of maintenance influence on major accidents in oil and gas industry and safety instrumented systems and their spurious activation in oil and gas industry -- 9. Oil and gas industry accident data and accident data analysis -- 10. Oil and gas industry equipment reliability -- 11. Mathematical models for performing safety and reliability analyses in oil and gas industry.