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Functions of Real Variables: Functions of a Single Variable; Functions of Many Variables; Series Expansions; Complex Analysis and the Fourier Transform: Functions of Complex Variables; Singularities, Residues, Contour Integration; Mappings Produced by Complex Functions; The Fourier Transform; Applications to Partial Differential Equations: Partial Differential Equations: Introduction; Unified Transform I: Evolution PDEs on the Half-line; Unified Transform II: Evolution PDEs on a Finite Interval; Unified Transform III: The Wave Equation; Unified Transform IV: Laplace, Poisson, and Helmholtz Equations; Probabilities, Numerical and Stochastic Methods: Probability Theory; Numerical Methods; Stochastic Methods
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