Mathematics and Mechanics - The Interplay: Volume II: Dynamical Systems

This book is to present a highly readable introduction to dynamical systems, namely initial-value problems of systems of differential equations (mathematics), and particle dynamics (mechanics). Linear algebra is extensively covered as a prerequisite.
This is the stand-alone second volume of a book that covers an integrated approach to mathematics and mechanics from elementary to graduate level material of scientific curricula-the first of this breadth.
A simple, intuitive approach is used throughout. In particular, gut-level proofs are preferred over abstract ones, even if not succinct and elegant. To make the volume simple to read and, at the same time, rigorous, additional material (clearly marked as optional) is provided. Overall, every statement is proven-the sentence “it may be shown that . . . ” is banned from this book.