Dynamics the Geometry of Behavior Part Three Global Behavior

by Ralph H. Abraham

A visual introduction to the concepts of dynamical systems theory, a branch of Mathematics commonly referred to as chaos theory. Volume 3 (Global Behvior) describes the concept of structural stability, discovered in 1937, and the important generic properties discovered since 1959, relating o the tangled insets and outsets of a dynamical system. The book assumes nothing in the way of mathematical training beyond vectors in three dimensions and complex numbers.

Paperback

Published January 1, 1985

About the author

Dr. Ralph Herman Abraham was a mathematician who specialized in the development of dynamical systems theory. He was a Professor of Mathematics at the University of California, Santa Cruz. He also consulted on chaos theory and its applications in fields such as medical physiology, ecology, mathematical economics, and psychotherapy.

Abraham was also interested in alternative ways of expressing mathematics, for example visually or aurally. He has staged performances in which mathematics, visual arts and music are combined into one presentation. He also developed an interest in "Hip" activities in Santa Cruz in the 1960s and he wrote several books and one website on the topic. He credited his use of psychedelics for inspiring this interest.