I. Measurements and Numbers -- 1. Mathematics and Reality -- 2. Measurements and Natural Numbers -- 3. Measurements and Rational Numbers -- 4. Real Numbers: Infinite Exactness of Measurements -- 5. On the Boundary of the Real Continuum -- 6. Finite Exactness and m-adic Numbers -- 7. Rings of m-adic Numbers -- 8. Ultrametric Spaces -- 9. Ultrametric Social Space -- 10. Non-Real Models of Space -- II. Fundamentals -- 1. Einstein-Podolsky-Rosen Paradox -- 2. Foundations of Quantum Mechanics -- 3. Foundations of Probability Theory -- 4. Statistical Interpretation of Quantum mechanics -- 5. Quantum Probabilities; Two Slit Experiment -- 6. Bell's Inequality and the Death of Reality -- 7. Individual Realists Interpretation and Hidden Variables -- 8. Orthodox Copenhagen Interpretation -- 9. Einstein-Podolsky-Rosen Paradox and Interpretations of Quantum Mechanics -- III. Non-Archimedean Analysis -- 1. Exponential Function -- 2. Normed and Locally Convex Spaces -- 3. Locally Constant Functions -- 4. Kaplansky's Theorem -- 5. Differentiate Functions -- 6. Analytic Functions -- 7. Complex Non-Archimedean Numbers -- 8. Mahler Basis -- 9. Measures on the Ring of p-adic Integers -- 10. Volkenborn Integral (Uniform Distribution) -- 11. The Monna-Springer Integration Theory -- IV. The Ultrametric Hilbert Space Description of Quantum Measurements with a Finite Exactness -- 1. Critique of Interpretations of Quantum Mechanics -- 2. Preparation Procedures and State Spaces -- 3. Ultrametric (m-adic) Hilbert Space -- 4. m-adic (Ultrametric) Axiomatic of Quantum Measurements -- 5. Heisenberg Uncertainty and Inexactness Relations -- 6. Energy Representation for the Harmonic Oscillator -- 7. Einstein-Podolsky-Rosen Paradox and Infinite Exactness of Measurements -- 8. Fuzzy Reality -- 9. Quantum-Classical Heisenberg Inexactness Relation for the Harmonic Oscillator and Free Particle -- V. Non-Kolmogorov Probability Theory -- 1. Frequency Probability Theory -- 2. Measure and Probability -- 3. Densities -- 4. Integration Technique -- 5. Non-Kolmogorov Axiomatics -- 6. Products of Probabilities -- 7. Proportional and Classical Definitions of Probability -- 8. p-adic Asymptotic of Bernoulli Probabilities -- 9. More Complicated p-adic Asymptotics -- 10. p-adic Bernoulli Theorem -- 11. Non-symmetrical Bernoulli Distributions -- 12. The Central Limit Theorem -- VI. Non-Kolmogorov Probability and Quantum Physics -- 1. Dirac, Feynman, Wigner and Negative Probabilities -- 2. p-adic Stochastic Point of View of Bell's Inequality -- 3. An Example of p-adic Negative Probability Behaviour -- 4. p-adic Stochastic Hidden Variable Model with Violations of Bell's Inequality -- 5. Quadri Variate Joint Probability Distribution -- 6. Non-Kolmogorov Statistical Theory -- 7. Physical Interpretation of Negative Probabilities in Prugovecki's Empirical Theory of Measurement -- 8. Experiments to Find p-adic Stochastics in the Two Slit Experiment -- VII. Position and Momentum Representations -- 1. Groups of Unitary Isometric Operators in a p-adic Hilbert Space -- 2. p-adic Valued Gaussian Integration and Spaces of Square Integrable Functions -- 3. A Representation of the Translation Group -- 4. Gaussian Representations for the Position and Momentum Operators -- 5. Unitary Isometric One Parameter Groups Corresponding to the Position and Momentum Operators -- 6. Operator Calculus -- 7. Exactness of a Measurement of Positions and Momenta -- 8. Spectrum of p-adic Position Operator -- 9. L2-space with respect to p-adic Lebesgue distributions -- 10. Fourier Transform of L2-maps and Momentum Representation -- 11. Schrödinger Equation -- VIII. p-adic Dynamical Systems with Applications to Biology and Social Sciences -- 1. Roots of Unity -- 2. Dynamical Systems in Non-Archimedean Fields -- 3. Dynamical Systems in the Field of Complex p-adic Numbers -- 4. Dynamical Systems in the Fields of p-adic Numbers -- 5. Computer Calculations for Fuzzy Cycles -- 6. The Human Subconscious as a p-adic Dynamical System -- 7. Ultrametric on the Genealogical Tree -- 8. Social Dynamics -- 9. Human History as a p-adic Dynamical System -- 10. God as p-adic Dynamical System -- 11. Struggle of Civilizations -- 12. Economical and Social Effectiveness -- Open Problems -- 1. Newton's Method (Hensel Lemma) -- 2. Non-Real Reality -- 5. Quantum Mechanics of Vladimirov and Volovich.