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)


Basic Definition Real Analysis Double Sequence Nonstandard Analysis Enlargement Property 
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  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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