Biography:Abraham Robinson
Abraham Robinson  

Robinson in 1970  
Born  Waldenburg, German Empire  October 6, 1918
Died  April 11, 1974 New Haven, Connecticut, United States  (aged 55)
Alma mater  Hebrew University, University of London 
Known for  Nonstandard analysis 
Scientific career  
Fields  Mathematics 
Institutions  University of California, Los Angeles, Yale University, University of Toronto 
Doctoral advisor  Paul Dienes 
Doctoral students 

Influences 

Abraham Robinson (born Robinsohn;^{[1]} October 6, 1918 – April 11, 1974) was a mathematician who is most widely known for development of nonstandard analysis, a mathematically rigorous system whereby infinitesimal and infinite numbers were reincorporated into modern mathematics. Nearly half of Robinson's papers were in applied mathematics rather than in pure mathematics.^{[2]}
Biography
He was born to a Jewish family with strong Zionist beliefs, in Waldenburg, Germany, which is now Wałbrzych, in Poland . In 1933, he emigrated to British Mandate of Palestine, where he earned a first degree from the Hebrew University. Robinson was in France when the Nazis invaded during World War II, and escaped by train and on foot, being alternately questioned by French soldiers suspicious of his German passport and asked by them to share his map, which was more detailed than theirs. While in London, he joined the Free French Air Force and contributed to the war effort by teaching himself aerodynamics and becoming an expert on the airfoils used in the wings of fighter planes.
After the war, Robinson worked in London, Toronto, and Jerusalem, but ended up at the University of California, Los Angeles in 1962.
Work in model theory
He became known for his approach of using the methods of mathematical logic to attack problems in analysis and abstract algebra. He "introduced many of the fundamental notions of model theory".^{[3]} Using these methods, he found a way of using formal logic to show that there are selfconsistent nonstandard models of the real number system that include infinite and infinitesimal numbers. Others, such as Wilhelmus Luxemburg, showed that the same results could be achieved using ultrafilters, which made Robinson's work more accessible to mathematicians who lacked training in formal logic. Robinson's book Nonstandard Analysis was published in 1966. Robinson was strongly interested in the history and philosophy of mathematics, and often remarked that he wanted to get inside the head of Leibniz, the first mathematician to attempt to articulate clearly the concept of infinitesimal numbers.
While at UCLA his colleagues remember him as working hard to accommodate PhD students of all levels of ability by finding them projects of the appropriate difficulty. He was courted by Yale, and after some initial reluctance, he moved there in 1967. In the Spring of 1973 he was a member of the Institute for Advanced Study.^{[4]} He died of pancreatic cancer in 1974.
See also
 Influence of nonstandard analysis
 Robinson's joint consistency theorem
 Transfer principle – That all statements of some language that are true for some structure are true for another structure
Notes
 ↑ O'Connor, John J.; Robertson, Edmund F., "Abraham Robinson", MacTutor History of Mathematics archive, University of St Andrews, http://wwwhistory.mcs.standrews.ac.uk/Biographies/Robinson.html.
 ↑ "Robinson biography". http://wwwhistory.mcs.stand.ac.uk/history/Biographies/Robinson.html.
 ↑ Hodges, W: "A Shorter Model Theory", page 182. CUP, 1997
 ↑ "Abraham Robinson, Institute for Advanced Study". https://www.ias.edu/scholars/abrahamrobinson.
Publications
 Robinson, Abraham (1963), Introduction to model theory and to the metamathematics of algebra, Amsterdam: NorthHolland, ISBN 9780720422221, https://books.google.com/books?id=epztnQAACAAJ
 Lightstone, A. H.; Robinson, Abraham (1975), Nonarchimedean Fields and Asymptotic Expansions, NorthHolland, ISBN 9780720424508
 Robinson, Abraham (1977), Keisler, H. Jerome, ed., Complete theories, Studies in Logic and the Foundations of Mathematics (2nd ed.), Amsterdam: NorthHolland, ISBN 9780720406900
 Robinson, Abraham (1979), Keisler, H. Jerome, ed., Selected papers of Abraham Robinson. Vol. I Model theory and algebra, Yale University Press, ISBN 9780300020717, https://books.google.com/books?id=Od4SQgAACAAJ&q=Selected+papers+of+Abraham+Robinson.+Vol.+I+Model+theory+and+algebra
 Robinson, Abraham (1979), Luxemburg, W. A. J.; Körner, S., eds., Selected papers of Abraham Robinson. Vol. II Nonstandard analysis and philosophy, Yale University Press, ISBN 9780300020724, https://books.google.com/books?id=YFqRZwEACAAJ
 Robinson, Abraham (1979), Young, A. D., ed., Selected papers of Abraham Robinson. Vol. III Aeronautics, Yale University Press, ISBN 9780300020731, https://books.google.com/books?id=Y6KwcAAACAAJ&q=bibliogroup:%22Selected+Papers+of+Abraham+Robinson%22
 Robinson, Abraham (1996), Nonstandard analysis, Princeton Landmarks in Mathematics (2nd ed.), Princeton University Press, ISBN 9780691044903, https://books.google.com/books?id=OkONWa4ToH4C
References
 J. W. Dauben (1998) Abraham Robinson: The Creation of Nonstandard Analysis, A Personal and Mathematical Odyssey, Princeton University Press ISBN:0691037450
 G. D. Mostow (1976) Abraham Robinson 1918 — 1974, Israel Journal of Mathematics 25(1/2): 5–14 doi:10.1007/BF02756558
 A. D. Young, S. Cochen, Stephan Körner & Peter Roquette (1976) "Abraham Robinson", Bulletin of the London Mathematical Society 8(3): 307–23 MR0409084
External links
 Abraham Robinson — Biographical Memoirs of the National Academy of Sciences
 Kutateladze S.S., Abraham Robinson, the creator of nonstandard analysis
Original source: https://en.wikipedia.org/wiki/Abraham Robinson.
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