Abraham Robinson
Autore di Non-standard Analysis
Sull'Autore
Abraham Robinson is best known among mathematicians for his revolutionary discovery and development of nonstandard analysis, a rigorous theory of infinitesimals that Robinson used to unite mathematical logic with the larger body of modern mathematics. Born in Waldenburg, Lower Silesia, in 1918, mostra altro Robinson spent much of his childhood in Breslau. In 1933, he emigrated from Nazi Germany to Palestine, where he studied mathematics at the Hebrew University with Abraham Fraenkel. Robinson studied briefly at the Sorbonne, barely escaping to England when the Germans invaded France in June 1940. During World War II, he worked at the Royal Aircraft Establishment in Farnborough, analyzing the design of supersonic airfoils. Beginning with his Ph.D. on model theory at the University of London in 1949, Robinson began to eclipse his wartime aeronautical research. Robinson first taught at the Cranfield College of Aeronautics and, beginning in 1951, in the Mathematics Department at the University of Toronto. In 1957, he returned to pure mathematics as Fraenkel's successor at Hebrew University and was appointed a professor of mathematics and philosophy at the University of California, Los Angeles, in 1962. Robinson finally moved to a position at Yale University in 1967, where he continued his research on model theory and nonstandard analysis until his untimely death in 1974. (Bowker Author Biography) mostra meno
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Non-standard Analysis di Abraham Robinson
Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body.… (altro)
From the horse's mouth -- the discoverer of nonstandard analysis himself (1918-1974) wrote this rigorous exposition, noted for its difficult logic-theoretic starting point. Pretty impenetrable, but I came to understand some of the basics of the subject a little better by reading the article on it in the 1972 Jun issue of Scientific American (That, however, was a bit *too* nontechnical.)
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fpagan | 1 altra recensione | Nov 11, 2006 |
fpagan | 1 altra recensione | Nov 11, 2006 | Statistiche
- Opere
- 10
- Utenti
- 90
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- #205,795
- Voto
- 4.4
- Recensioni
- 2
- ISBN
- 22
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- 1