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Ralph Abraham

From Wikipedia, the free encyclopedia

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

He earned his Ph.D. from the University of Michigan in 1960, and held positions at Berkeley, Columbia, and Princeton. He has also held visiting positions in Amsterdam, Paris, Warwick, Barcelona, Basel, and Florence.

He was involved in the development of the theory of dynamical systems in the 1960s and 1970s. He is editor of World Futures and for the International Journal of Bifurcations and Chaos.

Another interest of Dr. Abraham's concerns alternative 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. Students were often allowed to earn extra credit by writing papers on the history or social impacts of mathematics, which is a subject which Dr. Abraham wrote about extensively.

Abraham is a member of cultural historian William Irwin Thompson's Lindisfarne Association.

[edit] Partial bibliography

  • By Ralph Abraham:
    • 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.
  • Further reading:
    • The Eudaemonic Pie by Thomas A. Bass describes some early experimenting with roulette prediction.

[edit] External links

University of California, Santa Cruz
Santa Cruz, California
Colleges

Cowell College · Stevenson College · Crown College · Merrill College · Porter College · Kresge College · Oakes College · College Eight · College Nine · College Ten

Professional School

Jack Baskin School of Engineering

Research & Services

· Lick Observatory · W. M. Keck Observatory · Dickens Project · NASA Ames Research Center UARC · Silicon Valley Initiatives · Center for Adaptive Optics · Center for Biomolecular Science and Engineering · Institute of Marine Sciences & Long Marine Lab · UCSC Arboretum · University of California Police Department · UC Santa Cruz Fire Department

Student Media

City on a Hill Press · Fish Rap Live! · KZSC

In other languages
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