Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (Classic Version)

Normal 0 false false false This book emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics. KEY TOPICS: Heat Equation; Method of Separation of Variables; Fourier Series; Wave Equation: Vibrating Strings and Membranes; Sturm-Liouville Eigenvalue Problems; Finite Difference Numerical Methods for Partial Differential Equations; Higher Dimensional Partial Differential Equations; Nonhomogeneous Problems; Green's Functions for Time-Independent Problems; Infinite Domain Problems: Fourier Transform Solutions of Partial Differential Equations; Green's Functions for Wave and Heat Equations; The Method of Characteristics for Linear and Quasilinear Wave Equations; Laplace Transform Solution of Partial Differential Equations; Dispersive Waves: Slow Variations, Stability, Nonlinearity, and Perturbation Methods MARKET: For all readers interested in applied differential equations.