Discrete Chaos (Relié)

Over the last 15 years, chaos has virtually exploded over the landscape of mathematics and showered its effects on nearly every scientific discipline. However, despite the large number of texts published on the subject, a need has persisted for a book accessible to readers of varying backgrounds that includes discussion of stability theory and emphasizes real-world applications. Discrete Chaos fills that need. With only calculus and linear algebra as prerequisites, this book offers a broad range of topics with a depth not often found in texts written at this level. Its unique treatment of chaos encourages readers to make mathematical discoveries of their own through computer experimentation. You'll find even the most difficult material in an elementary framework, easily accessible regardless of your background and specialization. With a multitude of exercises to further enhance the learning experience, Discrete Chaos offers the perfect vehicle for the journey into the rich world of chaos. Features • Provides a thorough treatment of both stability and chaos theories, including recent research findings • Incorporates the use of Maple software throughout the book - programs can be downloaded from the CRC website • Contains over 300 graphs and an extensive set of exercises • Integrates the notation from difference equations and discrete dynamical systems, showing that the division between the two, is largely artificial • Discusses a rich variety of applications in biology, physics, and other fields