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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. == Life and work == Ralph Abraham earned his Ph.D. from the University of Michigan in 1960, and held positions at UC Santa Cruz, Berkeley, Columbia, and Princeton. He has also held visiting positions in Amsterdam, Paris, Warwick, Barcelona, Basel, and Florence. He founded the Visual Math Institute at UC Santa Cruz in 1975, at that time it was called the "Visual Mathematics Project". He is editor of ''World Futures'' and for the ''International Journal of Bifurcations and Chaos''. Abraham is a member of cultural historian William Irwin Thompson's Lindisfarne Association. Abraham has been involved in the development of dynamical systems theory in the 1960s and 1970s. He has been a consultant on chaos theory and its applications in numerous fields, such as medical physiology, ecology, mathematical economics, psychotherapy, etc.〔(Complexity, Democracy and Sustainability ) The 50th Anniversary Meeting of The International Society for the Systems Sciences. Sonoma State University, 2006. Retrieved 7 June 2008.〕 Another interest of Abraham's concerns 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. Abraham developed an interest in "Hip" activities in Santa Cruz in the 1960s and set up a website gathering information on the topic.〔http://www.ralph-abraham.org/1960s/〕 He credits his use of the psychedelic drug DMT for "swerv(his ) career toward a search for the connections between mathematics and the experience of the Logos". 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Ralph Abraham」の詳細全文を読む スポンサード リンク
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