Ordinary Differential Equations

'This volume is a new edition of the original text, published in 1968. In these days of drearily identical textbooks, it is good to see one that is unique; its reappearance is welcome ... The range of topics considered is extensive. In just over 200 pages, you will meet first- and second-order differential and difference equations, power and asymptotic series, eigenvalue expansions, special functions, (error, gamma, Bessel, Airy, and Legendre), the Laplace transform, variational calculus, solution of partial differential equations using separation of variables, nonlinear differential equations, numerical methods, and singular perturbation methods ... In summary, this is a nice book, moderately priced and well worth owning ...The publishers have done us a service in reissuing it.' J. M. Anthony Danby, SIAM Review 'A refreshing change from the omnipresent 'cookbook' approach; heuristic arguments and beautiful, open-ended problems drive the discussion. Most problems end with a question forcing the solver to think about what he or she just did. Covers all the usual topics; great source of challenging problems for standard course.' American Mathematical Monthly

• IntroductionFirst-Order Linear Differential EquationsSecond-Order Differential EquationsPower-Series DescriptionsThe WronskianEigenvalue ProblemsThe Second-Order Linear Nonhomogeneous EquationExpansions in EigenfunctionsThe Perturbation ExpansionAsymptotic SeriesSpecial FunctionsThe Laplace TransformRudiments of the Variational CalculusSeparation of Variables and Product Series Solutions of Partial Differential EquationsNonlinear Differential EquationsMore on Difference EquationsNumerical MethodsSingular Perturbation Methods.