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

  • Detlef Laugwitz
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 983)

Keywords

Basic Definition Real Analysis Double Sequence Nonstandard Analysis Enlargement Property 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography

  1. [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.Google Scholar
  2. [2]
    SCHMIEDEN, C. and LAUGWITZ, D.: Eine Erweiterung der Infinitesimalrechnung. Math. Z. 69, 1–39 (1958).MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    STROYAN, K.D. and LUXEMBURG, W.A.J.: Introduction to the Theory of Infinitesimals. New York 1976.Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Detlef Laugwitz
    • 1
  1. 1.Technische Hochschule DarmstadtFachbereich MathematikDarmstadt

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