Several distinctive aspects make Dynamical Systems unique, including:
treating the subject from a mathematical perspective with the proofs of most of the results included
providing a careful review of background materials
introducing ideas through examples and at a level accessible to a beginning graduate student
focusing on multidimensional systems of real variables
The book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but...