1. Introduction -- 2. Conventional quantum theory : fundamentals -- 3. Fundamentals of prequantum classical statistical field theory -- 4. Prequantum dynamics from Hamiltonian equations on the infinite-dimensional phase space -- 5. Quantum mechanics as approximation of statistical mechanics of classical fields -- 6. Supplementary mathematical considerations -- 7. Mathematical presentation for composite systems -- 8. Phenomenological detection model -- 9. Quantum individual events.