Introduction to Ordinary Differential Equations with Mathematica

The book "Introduction to Ordinary Differential Equations with Mathematica" offers a comprehensive introduction to the theory and application of ordinary differential equations. It is aimed at students in their second and third years at American colleges and universities. The authors, Alfred Gray, Michael Mezzino, and Mark A. Pinsky, have developed and tested the materials over several years to ensure they meet educational needs. The book covers fundamental topics such as first and second order equations, solutions using power series, first-order systems, Laplace transforms, numerical methods, and the stability of nonlinear systems. A special feature is the integration of Mathematica programs, which are used for both symbolic calculations and graphical representations. Readers can use the book with or without Mathematica, making it a flexible learning tool.