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Published March 27, 2017 | Presentation
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Non-Standard Analysis: Lectures on A. Robinson's Theory of Infinitesimals and Infinitely Large Numbers


The present lecture notes have grown from a series of three lectures which were given by the author at the California Institute of Technology in December 1961. The purpose of these lectures was to give a discussion of A. Robinson's theory of infinitesimals and infinitely large numbers which had just appeared in print under the title "Non-Standard Analysis". The title "Non-Standard Analysis" refers to the fact that this theory is an interpretation of analysis in a non-standard model of the arithmetic of the real numbers.

Additional Information

c1962, W. A. J. Luxemburg. Second corrected edition, March 1964. The second edition differs little from the first edition. Some errors are corrected, section 4 of Chapter II was newly written and section 6 was added to Chapter 6. For the metamathematical background of Robinson's theory we refer the reader to: Abraham Robinson, Introduction to Model Theory and the Metamathematics of Algebra, Studies in Logic and the Foundations of Mathematics, Amsterdam 1963.

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