Illustrated with many practical examples, this text provides complete, clear, and detailed explanations of the principal numerical analysis methods and well known functions used in science and ...

This book provides an introduction to the theory and application of the solution of differential equations using symmetries, a technique of great value in mathematics and the physical sciences. In ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

Ordinary differential equations: power series and Frobenius series solutions, special functions, Fourier series, Sturm-Liouville problems, qualitative analysis of nonlinear systems. Partial ...

Topics include the qualitative analysis of ordinary differential equations, solutions of second order linear ordinary differential equations with variable coefficients, first order and second order ...