Differential Equations

For introductory courses in differential equations.

This modern introduction to differential equations covers traditional subjects, as well as modern topics such as fundamentals of dynamical systems theory and bifurcation theory. The volume emphasizes analyzing solutions rather than finding solution formulas, introduces numerical methods early in the text, and provides case studies for each subject area. Many applications are quite lengthy and detailed, and accompanied with real data and are drawn from many disciplines including many from biological subjects.