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Partial table of contents: GENERALITIES. Computing Software Basics. Errors and Uncertainties in Computations. APPLICATIONS. Data Fitting. Deterministic Randomness. Monte Carlo Applications. Differentiation. Differential Equations and Oscillations. Anharmonic Oscillations. Unusual Dynamics of Nonlinear Systems. Differential Chaos in Phase Space. Matrix Computing and Subroutine Libraries. Bound States in Momentum Space. Computing Hardware Basics: Memory and CPU. High-Performance Computing: Profiling and Tuning. Object-Oriented Programming: Kinematics. Thermodynamic Simulations: The Ising Model. Fractals. PARTIAL DIFFERENTIAL EQUATIONS. Heat Flow. Waves on a String. NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS. Solitons, The KdeV Equation. Confined Electronic Wave Packets. Appendices. Glossary. References. Index.