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Ralph Abraham Biography
Ralph H. Abraham (born July 4, 1936) is an American mathematician. He has been a member of the mathematics department at the University of California, Santa Cruz since 1968.

Dr. Abraham was born in Burlington, Vermont and earned his Ph.D. from the University of Michigan in 1960, and held positions at Berkeley, Columbia, and Princeton prior to accepting his current job at Santa Cruz. He has also held visiting positions in Amsterdam, Paris, Warwick, Barcelona, Basel, and Florence. Ralph Abraham was actively involved in the development of chaos theory and the theory of dynamical systems in the 1960s and 70s. He is editor of World Futures and for the International Journal of Bifurcations and Chaos.

Another interest of Dr. Abraham's is different ways of expressing mathematics, for example visually or aurally. He founded the Visual Math Institute at UC Santa Cruz in 1975 (at that time it was called the Visual Mathematics Project). He has staged performances in which mathematics, visual arts and music are combined into one presentation.

Partial bibliography
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
The Web Empowerment Book, 1995 (with Frank Jas and Will Russell)
Chaos in Discrete Dynamical Systems, 1995 (with Laura Gardini and Christian Mira)
The Evolutionary Mind, 1997 (with Terence McKenna and Rupert Sheldrake), transl. in German
The Chaos Avant-garde, 2000 (with Yoshisuke Ueda), transl. in Japanese.
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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article Ralph Abraham.