Author Description

This book presents, in a convenient single volume ideal for nonmathematicians, much of the mathematical background necessary for the study of modern developments in linear and nonlinear system theory. By opening this subject to a broader readership, the text enables engineers and others to appreciate the rich capabilities of dynamic systems modelling, despite the sophisticated mathematics this entails. Six chapters cover algebraic topics that have been instrumental in the establishment of linear system theory, including groups, rings, modules, and vector spaces. The book also provides information on those parts of analysis that lead to a geometric approach to nonlinear system theory--an approach that has been particularly successful since the early 1970s. With many examples, notes and exercises with solutions, this work can be used as either a textbook or reference.