J u m p t o c o n t e n t
M a i n m e n u
M a i n m e n u
N a v i g a t i o n
● M a i n p a g e ● C o n t e n t s ● C u r r e n t e v e n t s ● R a n d o m a r t i c l e ● A b o u t W i k i p e d i a ● C o n t a c t u s ● D o n a t e
C o n t r i b u t e
● H e l p ● L e a r n t o e d i t ● C o m m u n i t y p o r t a l ● R e c e n t c h a n g e s ● U p l o a d f i l e
S e a r c h
Search
A p p e a r a n c e
● C r e a t e a c c o u n t ● L o g i n
P e r s o n a l t o o l s
● C r e a t e a c c o u n t ● L o g i n
P a g e s f o r l o g g e d o u t e d i t o r s l e a r n m o r e ● C o n t r i b u t i o n s ● T a l k
( T o p )
1 L i f e a n d w o r k
2 W o r k s
3 R e f e r e n c e s
4 E x t e r n a l l i n k s
T o g g l e t h e t a b l e o f c o n t e n t s
R a l p h A b r a h a m ( m a t h e m a t i c i a n )
1 1 l a n g u a g e s
● ا ل ع ر ب ي ة ● D e u t s c h ● E s p a ñ o l ● F r a n ç a i s ● H r v a t s k i ● I t a l i a n o ● K r e y ò l a y i s y e n ● M a g y a r ● م ص ر ى ● P o r t u g u ê s ● S v e n s k a
E d i t l i n k s
● A r t i c l e ● T a l k
E n g l i s h
● R e a d ● E d i t ● V i e w h i s t o r y
T o o l s
T o o l s
A c t i o n s
● R e a d ● E d i t ● V i e w h i s t o r y
G e n e r a l
● W h a t l i n k s h e r e ● R e l a t e d c h a n g e s ● U p l o a d f i l e ● S p e c i a l p a g e s ● P e r m a n e n t l i n k ● P a g e i n f o r m a t i o n ● C i t e t h i s p a g e ● G e t s h o r t e n e d U R L ● D o w n l o a d Q R c o d e ● W i k i d a t a i t e m
P r i n t / e x p o r t
● D o w n l o a d a s P D F ● P r i n t a b l e v e r s i o n
I n o t h e r p r o j e c t s
● W i k i m e d i a C o m m o n s
A p p e a r a n c e
F r o m W i k i p e d i a , t h e f r e e e n c y c l o p e d i a
Ralph Herman Abraham (born July 4, 1936) is an American mathematician . He has been a member of the faculty of the University of California, Santa Cruz (where he is currently professor emeritus of mathematics) since 1968.
Life and work [ edit ]
Abraham earned his BSE (1956), MS PhD (1960) from the University of Michigan . Prior to joining Santa Cruz, he held positions at the University of California, Berkeley (research lecturer in mathematics; 1960-1962), Columbia University (postdoctoral fellow and assistant professor of mathematics; 1962-1964) and Princeton University (assistant professor of mathematics; 1964-1968). He has also held visiting positions in Amsterdam , Paris , Warwick , Barcelona , Basel , and Florence .
He founded the Visual Math Institute[1] 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 since 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.[2]
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 has a website gathering information on the topic.[3] psychedelic drug DMT for "swerv[ing his] career toward a search for the connections between mathematics and the experience of the Logos".[4]
Publications
1978. Foundations of Mechanics Jerrold E. Marsden ;[5]
1982. Manifolds, Tensor Analysis, and Applications , 2nd edn. With Jerrold E. Marsden and Tudor Ratiu .
1992. Dynamics, the Geometry of Behavior , 2nd edn. With C. D. Shaw .
1992. Trialogues on the Edge of the West . With Terence McKenna and Rupert Sheldrake ),
1992. Chaos, Gaia, Eros .
1995. The Web Empowerment Book . With Frank Jas and Will Russell.
1995. Chaos in Discrete Dynamical Systems . With Laura Gardini and Christian Mira.[6]
1997. The Evolutionary Mind . With Terence McKenna and Rupert Sheldrake.
2000. The Chaos Avant-garde . With Yoshisuke Ueda.
2011. Bolts From the Blue.
2016. Hip Santa Cruz, Vol. 1.
Film
References [ edit ]
^ "S Cruz 1960s" . www.ralph-abraham.org .
^ Sheldrake, Rupert; McKenna, Terence; Abraham, Ralph (2013-08-20). The Evolutionary Mind: Conversations on Science, Imagination & Spirit ISBN 9781939681102 . Retrieved 12 April 2014 .
^ Sternberg, Shlomo (1980). "Review: Foundations of mechanics , 2nd edition, revised and enlarged, by Ralph Abraham and Jerrold E. Marsden" (PDF) . Bulletin of the American Mathematical Society . New Series. 2 2 ): 378–387. doi :10.1090/S0273-0979-1980-14771-0
^ companion CD-ROM by Ronald Joe Record and Ralph Abraham
^ "Full cast and crew" , DMT: The Spirit Molecule , IMDb, 2010
External links [ edit ]
International
National
Academics
Other
R e t r i e v e d f r o m " https://en.wikipedia.org/w/index.php?title=Ralph_Abraham_(mathematician)&oldid=1145708802 " C a t e g o r i e s : ● 1 9 3 6 b i r t h s ● 2 0 t h - c e n t u r y A m e r i c a n m a t h e m a t i c i a n s ● 2 1 s t - c e n t u r y A m e r i c a n m a t h e m a t i c i a n s ● C o l u m b i a U n i v e r s i t y f a c u l t y ● C o m p l e x s y s t e m s s c i e n t i s t s ● L i v i n g p e o p l e ● C h a o s t h e o r i s t s ● P e o p l e f r o m B u r l i n g t o n , V e r m o n t ● U n i v e r s i t y o f C a l i f o r n i a , B e r k e l e y C o l l e g e o f L e t t e r s a n d S c i e n c e f a c u l t y ● U n i v e r s i t y o f C a l i f o r n i a , S a n t a C r u z f a c u l t y ● U n i v e r s i t y o f M i c h i g a n C o l l e g e o f E n g i n e e r i n g a l u m n i ● M a t h e m a t i c i a n s f r o m V e r m o n t ● F u l b r i g h t a l u m n i H i d d e n c a t e g o r i e s : ● A r t i c l e s w i t h s h o r t d e s c r i p t i o n ● S h o r t d e s c r i p t i o n m a t c h e s W i k i d a t a ● A r t i c l e s w i t h h C a r d s ● A l l a r t i c l e s w i t h d e a d e x t e r n a l l i n k s ● A r t i c l e s w i t h d e a d e x t e r n a l l i n k s f r o m M a r c h 2 0 1 8 ● A r t i c l e s w i t h p e r m a n e n t l y d e a d e x t e r n a l l i n k s ● A r t i c l e s w i t h I S N I i d e n t i f i e r s ● A r t i c l e s w i t h V I A F i d e n t i f i e r s ● A r t i c l e s w i t h W o r l d C a t E n t i t i e s i d e n t i f i e r s ● A r t i c l e s w i t h B N E i d e n t i f i e r s ● A r t i c l e s w i t h B N F i d e n t i f i e r s ● A r t i c l e s w i t h B N F d a t a i d e n t i f i e r s ● A r t i c l e s w i t h C A N T I C N i d e n t i f i e r s ● A r t i c l e s w i t h G N D i d e n t i f i e r s ● A r t i c l e s w i t h J 9 U i d e n t i f i e r s ● A r t i c l e s w i t h K B R i d e n t i f i e r s ● A r t i c l e s w i t h L C C N i d e n t i f i e r s ● A r t i c l e s w i t h N K C i d e n t i f i e r s ● A r t i c l e s w i t h N L K i d e n t i f i e r s ● A r t i c l e s w i t h N T A i d e n t i f i e r s ● A r t i c l e s w i t h P L W A B N i d e n t i f i e r s ● A r t i c l e s w i t h C I N I I i d e n t i f i e r s ● A r t i c l e s w i t h M A T H S N i d e n t i f i e r s ● A r t i c l e s w i t h M G P i d e n t i f i e r s ● A r t i c l e s w i t h Z B M A T H i d e n t i f i e r s ● A r t i c l e s w i t h S U D O C i d e n t i f i e r s
● T h i s p a g e w a s l a s t e d i t e d o n 2 0 M a r c h 2 0 2 3 , a t 1 5 : 0 1 ( U T C ) . ● T e x t i s a v a i l a b l e u n d e r t h e C r e a t i v e C o m m o n s A t t r i b u t i o n - S h a r e A l i k e L i c e n s e 4 . 0 ;
a d d i t i o n a l t e r m s m a y a p p l y . B y u s i n g t h i s s i t e , y o u a g r e e t o t h e T e r m s o f U s e a n d P r i v a c y P o l i c y . W i k i p e d i a ® i s a r e g i s t e r e d t r a d e m a r k o f t h e W i k i m e d i a F o u n d a t i o n , I n c . , a n o n - p r o f i t o r g a n i z a t i o n . ● P r i v a c y p o l i c y ● A b o u t W i k i p e d i a ● D i s c l a i m e r s ● C o n t a c t W i k i p e d i a ● C o d e o f C o n d u c t ● D e v e l o p e r s ● S t a t i s t i c s ● C o o k i e s t a t e m e n t ● M o b i l e v i e w
