Introduction to non-linear systems / J. Berry

Includes bibliographical references and index

This book is an introductory textbook aimed at students who already know basic calculus and linear algebra. It reviews core preliminaries (ordinary differential equations, matrix algebra and iteration methods) and then develops the analysis of first- and second-order continuous non-linear systems and discrete (iterative) systems — material that forms the mathematical basis of classical chaos and dynamical systems. The text follows a compact, modular style (part of the Modular Mathematics series), includes worked examples and illustrations, and ends with exploratory investigations and exercises to encourage further study. Bibliographical references and an index are included for follow-up reading.