Foundations of Applied MathematicsPresents a classic text in applied mathematics, and serves as a reference for undergraduate and graduate students of engineering. Topics include real variable theory, complex variables, linear analysis, partial and ordinary differential equations, and other subjects. Answers to selected exercises are provided, along with Fourier and Laplace transformation tables and useful formulas. |
Other editions - View all
Common terms and phrases
a₁ analytic applied approximation axis boundary conditions c₁ Calculus Cauchy Chapter coefficients Complex Variables compute consider constant continuous convergence curve defined denote Derive discussed divergence domain e₁ eigenvalue Euler evaluate Example Exercise exist expansion fact Figure finite fluid follows formula Fourier series Green's function hence Hint infinite inner product instance integral interval inverse Laplace transform limit Linear Analysis Mathematical matrix method nonlinear Note obtain operator Ordinary Differential Equations orthogonal Partial Differential Equations perturbation phase plane plane Real Variable Theory recall Residue Theorem result satisfies scalar second-order Section self-adjoint Separation of Variables sequence shown in Fig simply singular point sinh solution solve Suppose Taylor series theorem tion u₁ value problem Vector Field velocity whereas zero ду