Books

Short works

Books : reviews

Ralph H. Abraham, Christopher D. Shaw.
Dynamics: the geometry of behavior: 2nd edn.
Addison-Wesley. 1992

The study of chaos provides a new paradigm for the sciences, and Dynamics: The Geometry of Behavior is a comprehensive exploration of this important branch of mathematics. The book shows a new way to learn a new mathematics – it is a visual tour that’s accessible to a wide range of academic levels. Imaginative, full-color graphics translate dynamical systems theory for the layman as well as the seasoned researcher. Originally published as a four-part series, this wonderfully readable compendium offers the complete set in one volume for the first time. Dynamics: The Geometry of Behavior is a profusely illustrated, inventive book designed for anyone who wants to learn more about dynamical systems theory.

Ralph H. Abraham, Yoshisuke Ueda, eds.
The Chaos Avant-Garde: memories of the early days of chaos theory.
World Scientific. 2000

Contents

• Steve Smale. On How I Got Started in Dynamical Systems 1959-1962. 1980
• Steve Smale. Finding a horseshoe on the Beaches of Rio. 1998
• Yoshisuke Ueda. Strange Attractors and the Origin of Chaos. 1992
• Yoshisuke Ueda. My Encounter with Chaos. 1994
• Yoshisuke Ueda. Reflections on the Origin of the Broken-Egg Chaotic Attractor. 2000
• Ralph H. Abraham. The Chaos Revolution: A Personal View. 2000
• Edward N. Lorenz. The Butterfly Effect. 1993
• Christian Mira. I. Gumowski and a Toulouse Research Group in the "Prehistoric" Times of Chaotic Dynamics. 2000
• Floris Takens. The Turbulence Paper of D. Ruelle and F. Takens. 2000
• T. Y. Li, James A. Yorke. Exploring Chaos on an Interval. 2000
• Otto E. Rossler. Chaos, Hyperchaos and the Double-Perspective. 2000