An Introduction to General Nonstandard Analysis

Peter A. Loeb ()
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Peter A. Loeb: University of Illinois, Department of Mathematics

Chapter Chapter 2 in Nonstandard Analysis for the Working Mathematician, 2015, pp 37-78 from Springer

Abstract: Abstract In this chapter, we develop the general framework of nonstandard analysis and the necessary logic for the transfer principle. We will begin each section with a brief summary for readers who want to postpone the technical details until a later reading. The summary will note any important definitions and results of the section that the reader should know before going on.

Keywords: Nonstandard Analysis; Transfer Principle; Infinite Graph Theory; Internal Entities; Nonstandard Extension (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-7327-0_2

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DOI: 10.1007/978-94-017-7327-0_2

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