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Θ-Calculus as a generalization of field extension an alternative approach to nonstandard analysis

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Nonstandard Analysis-Recent Developments

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 983))

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Bibliography

  1. ROBINSON, A. and ZAKON, E.: A set-theoretical characterization of enlargements. In "Applications of Model Theory", ed. by W.A.J. Luxemburg, New York 1969.

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  2. SCHMIEDEN, C. and LAUGWITZ, D.: Eine Erweiterung der Infinitesimalrechnung. Math. Z. 69, 1–39 (1958).

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  3. STROYAN, K.D. and LUXEMBURG, W.A.J.: Introduction to the Theory of Infinitesimals. New York 1976.

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Authors and Affiliations

  1. Technische Hochschule Darmstadt, Fachbereich Mathematik, Schloßgartenstr. 7, D - 6100, Darmstadt

    Detlef Laugwitz

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  1. Detlef Laugwitz
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Albert Emerson Hurd

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© 1983 Springer-Verlag

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Laugwitz, D. (1983). Θ-Calculus as a generalization of field extension an alternative approach to nonstandard analysis. In: Hurd, A.E. (eds) Nonstandard Analysis-Recent Developments. Lecture Notes in Mathematics, vol 983. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065337

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  • DOI: https://doi.org/10.1007/BFb0065337

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12279-1

  • Online ISBN: 978-3-540-39602-4

  • eBook Packages: Springer Book Archive

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