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Saracino (D.H.) and Weispfenning (V.B.), eds - Robinson (Abraham), about
Reference : Cyb-1341
(1975)
Model Theory and Algebra - A Memorial Tribute to Abraham Robinson
Springer-Verlag - Springer , Lecture Notes in Mathematics Malicorne sur Sarthe, 72, Pays de la Loire, France 1975 Book condition, Etat : Très Bon paperback grand In-8 1 vol. - 473 pages
Contents, Chapitres : Foreword, Contents, x, Text, 463 pages fine copy
Non-Standard Analysis. - [THEORY OF INFINITESIMALS]
Amsterdam, North-Holland, 1966. 8vo. Publishers full cloth with dust jacket. Both in fine condition. Previous owners signature to front free end paper.Otherwise completely clean throughout. A fine copy.
First edition of this foundational work in mathematics. In this book Robinson gave the first rigorous formulation of Analysis using infinitesimals. Both Leibniz and Newton had used the notion of infinitesimals when they developed the Differentail and Integral Calculus in the 17th century. As Leibniz argued the theory of infinitesimals implies the introduction of ideal numbers which might be infinitely small or large compared to the real numbers. However, neither he nor his disciples and succesors were able to give a rational development leading up to a system of this sort. As a result, the theory of infinitesimals gradually fell into disrepute and was replaced by eventually by the classical theory of limits. Robinson was the first to show that Leibniz's ideas in fact can be fully vindicated and that they lead to a fruitful approach to classical Analysis. He coined his model ""Non-Standard Anlysis"".
Selected papers edited by H.J. Keisler, S. Körner, W.A.J. Luxemburg and A.D. Young. VOLUME 1 : Model theory and algebra. VOLUME 2 : Nonstandard analysis and philosophy. VOLUME 3 : Aeronautics -- EDITION ORIGINALE -- 3 VOLUMES (COMPLETE SET)
New Haven, Yale University Press, 1979, 3 VOLUMES in 4 reliés en pleine toile éditeur, T.1 : 1 portrait, 37pp., 694pp., T.2 : 1 portrait, 45pp., 582pp., T.3 : 1 portrait, 32pp., 270pp.
---- EDITION ORIGINALE ---- BEL EXEMPLAIRE**4530/M7DE-M7AR
Introduction to Model Theory and to the Metamathematics of Algebra. Second edition.
Amsterdam, North-Holland, 1965. 8vo. Publishers full cloth with dust kacket. Fine condition. 284 pp.
Second and final edition. The first edition was published 1963.
Introduction to Model Theory and to the Metamathematics of Algebra. Second revised printing).
Amsterdam, London, North-Holland, (1974). Orig. full cloth. IX,284 pp.
