Reference Request: Discrete Dynamical Systems for Undergraduates

Question

I am looking for a primer text in discrete dynamical systems for an undergraduate level of understanding in mathematics. I have taken introductory courses in numerical analysis and computational math, so I can understand basic proofs for quadratic convergence and whatnot. However, I'm still new to a lot of this stuff, and eager to apply such systems to mathematical modeling. Thus, I am asking if anyone knows a solid book that a beginner-intermediate mathematician can really learn a lot from.

I know that Boston University's Robert Devaney has a couple textbooks- would that be a good start? If so, which of his texts?

Thanks in advance.

Answer 1

Start with Devaney's A First Course In Chaotic Dynamical Systems: Theory And Experiment.

Try also Invitation to Dynamical Systems by Scheinerman, which is freely available and also as a Dover book.