No prerequisites needed other than a good calculus course. Certain concepts from linear algebra used throughout. Problem section at end of each chapter. Emphasis on geometric methods. Extensive discussion of point stability follows.
Remainder covers two-dimensional systems, structural stability and equations of the second order.
List of problems fuctions as a list of topics for further discussion. Beginning with a general discussion of the linear equation, topics developed include stability theory for autonomous and nonautonomous systems. Especially detailed treatment of the boundary value problem of second order linear ordinary differential equations. Other topics include Fredholm integral equations, Volterra integral equations, much more.