Includes index.

Introduction to differential equations -- First-order differential equations -- Higher-order differential equations -- The laplace transform -- Series solutions of linear differential equations -- Numerical solutions of ordinary differential equations -- Vectors -- Matrices -- Vector calculus -- Systems of linear differential equations -- Systems of nonlinear differential equations -- Orthogonal functions and Fourier series -- Boundary-value problems in rectangular coordinates -- Boundary-value problems in other coordinate systems -- Integral transform method -- Numerical solutions of partial differentials equations -- Functions of a complex variable -- Integration in the complex plane -- Series and residues -- Conformal mappings.