He received the Ph.D. in Mathematics at the University of Michigan in 1960,
and taught at Berkeley, Columbia, and Princeton before moving to Santa
Cruz. He has held visiting positions in Amsterdam, Paris, Warwick, Barce-
lona, Basel, and Florence, and is the author of more than 20 texts, including
the following books currently in print:
Foundations of Mechanics, 2nd edn. 1978 (with J.E. Marsden),
Manifolds, Tensor Analysis, and Applications, 2nd edn. 1982 (with J.E.
Marsden and T. Ratiu),
Dynamics, the Geometry of Behavior, 2nd edn. 1992 (with C.D. Shaw),
transl. in Japanese,
Trialogues on the Edge of the West, 1992 (with Terence McKenna and
Rupert Sheldrake), transl. in French, German, Portuguese, Dutch.
Chaos, Gaia, Eros, 1992, transl. in Korean, Chinese,
The Web Empowerment Book, 1995 (with Frank Jas and Will Russell),
Chaos in Discrete Dynamical Systems, 1997, and
Evolutionary Mind, 1998 (with Terence McKenna and
Rupert Sheldrake), transl. in German.
He has been active on the research frontier of dynamics and chaos
theory -- in pure mathematics since 1960,
and in math applications and experiments since 1973. He has been a
consultant on chaos theory and its applications in numerous fields (medical
physiology, ecology, mathematical economics, psychotherapy, etc.) and is a
founding editor of the technical journals World Futures, and the International
Journal of Bifurcations and Chaos.
In 1975, he founded the Visual Mathematics Project at the University of Cal-
ifornia at Santa Cruz, which became the Visual Math Institute in 1990, with
its World Wide Web site since early 1994. He has performed works of
visual and aural mathematics and music (with Ami Radunskaya and Peter
Broadwell) since 1992.