A Unified Approach - 5th Edition
Fifth edition of a combined vector calculus, linear algebra, and differential forms textbook, including new material such as "an example showing how Google uses the Perron-Frobenius theorem to rank web pages, and an example showing how the singular value decomposition can be used for computer face recognition." Student solution manual also available (ISBN 978-0-9715766-9-8).
A Dynamical Systems Approach
This corrected third printing retains the authors'main emphasis on ordinary differential equations. It is most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, and applied mathematics, as well as the life sciences, physics and economics. The authors have taken the view that a differential equations theory defines functions; the object of the theory is to understand the behaviour of these functions. The tools the authors use include qualitative and numerical methods besides the traditional analytic methods, and the companion software, MacMath, is designed to bring these notions to life.