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Foundations of Nonstandard Analysis

A Gentle Introduction to Nonstandard Extensions

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Book cover Nonstandard Analysis

Part of the book series: NATO ASI Series ((ASIC,volume 493))

Abstract

There are many introductions to nonstandard analysis, (some of which are listed in the References) so why write another one? All of the existing introductions have one or more of the following features: (A) heavy use of logical formalism right from the start; (B) early introduction of set theoretic apparatus in excess of what is needed for most applications; (C) dependence on an explicit construction of the nonstandard model, usually by means of the ultrapower construction.

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References

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© 1997 Springer Science+Business Media Dordrecht

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Henson, C.W. (1997). Foundations of Nonstandard Analysis. In: Arkeryd, L.O., Cutland, N.J., Henson, C.W. (eds) Nonstandard Analysis. NATO ASI Series, vol 493. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5544-1_1

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  • DOI: https://doi.org/10.1007/978-94-011-5544-1_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6335-7

  • Online ISBN: 978-94-011-5544-1

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