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Cover -- Half Title -- Title Page -- Copyright Page -- Table of Contents -- Preface -- 1 Basic Reactor Principles -- 1.1 Atomic Structure -- 1.2 Binding Energy -- 1.2.1 Calculation of 1 u -- 1.3 Nuclear Reactions -- 1.4 Nuclear Fusion -- 1.5 Radioactivity -- 1.5.1 Rate of Radioactive Decay -- 1.5.2 Radioactive Equilibrium -- 1.5.3 Radioactive Disintegration Series -- 1.5.4 Artificial Radioactivity -- 1.6 Nuclear Fission -- 1.7 Principles, Production, and Interaction of Neutrons with Matter -- 1.7.1 Production of Neutrons -- 1.7.2 Neutron Reactions and Radiation -- 1.7.2.1 Properties of [alpha] Ray -- 1.7.2.2 Properties of [beta] Ray -- 1.7.2.3 Properties of [gamma] Ray -- 1.7.3 Inelastic and Elastic Scattering of Neutrons -- 1.7.3.1 Elastic Scattering -- 1.7.4 Maxwell-Boltzmann Distribution -- Bibliography -- 2 Neutron Diffusion Theory -- 2.1 Cross Section of Neutron Reactions -- 2.1.1 Transport Cross Section -- 2.2 Rates of Neutron Reactions -- 2.2.1 Neutron Diffusion Equation -- 2.2.2 Helmholtz Equation -- Bibliography -- 3 Fundamentals of Uncertainty -- 3.1 Probabilistic Uncertainty -- 3.1.1 Elementary Properties of Probability -- 3.1.2 Conditional Probability -- 3.1.2.1 Random Variables -- 3.1.2.2 Mean and Variance of a Distribution -- 3.1.3 Distributions -- 3.2 Binomial Distribution -- 3.3 Poisson Distribution -- 3.4 Normal or Gaussian Distribution -- 3.4.1 Stochastic Differential Equations -- 3.4.1.1 Euler-Maruyama and Milstein Methods -- 3.4.1.1.1 Euler-Maruyama Method -- 3.4.1.1.2 Milstein Method -- 3.5 Interval Uncertainty -- 3.5.1 Degenerate Intervals -- 3.5.2 Intersection, Union and Interval Hull -- 3.5.3 Width, Absolute Value and Midpoint -- 3.5.4 Interval Arithmetic -- 3.6 Fuzzy Uncertainty -- 3.6.1 Definitions -- 3.6.1.1 Fuzzy Set -- 3.6.1.2 Support of a Fuzzy Set -- 3.6.1.3 [alpha] -Level Set of a Fuzzy Set "This book is designed for a systematic understanding of nuclear diffusion theory along with fuzzy/interval/stochastic uncertainty. This will…