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Non-Standard Analysis: Lectures on A. Robinson's Theory of Infinitesimals and Infinitely Large Numbers

Luxemburg, W. A. J. (1966) Non-Standard Analysis: Lectures on A. Robinson's Theory of Infinitesimals and Infinitely Large Numbers. [Teaching Resource] (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20170327-135729832

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Abstract

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.


Item Type:Teaching Resource
Alternate Title:Lectures on A. Robinson's Theory of Infinitesimals and Infinitely Large Numbers, Robinson's Theory of Infinitesimals and Infinitely Large Numbers, Theory of Infinitesimals and Infinitely Large 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.
Record Number:CaltechAUTHORS:20170327-135729832
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170327-135729832
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:75428
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:27 Mar 2017 22:40
Last Modified:03 Oct 2019 16:50

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