Zusammenfassung
A. Robinson invented “nonstandard” methods in order to supplement the Weierstrass ε, δ formalization of the calculus by a rigorous version of the classical calculus of infinitesimals in the spirit of Leibniz and other formalists. We will apply the nonstandard approach to algebra in Chapter 14 in order to find new Hilbertian fields. Its main virtue, from an algebraic point of view, is that it creates for us additional algebraic structures to which well known theorems can be applied.
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Notes
A.Robinson and Nonstandra points on algebraic curves.1937 301–327
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© 1986 Springer-Verlag Berlin Heidelberg
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Fried, M.D., Jarden, M. (1986). Nonstandard Structures. In: Field Arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07216-5_13
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DOI: https://doi.org/10.1007/978-3-662-07216-5_13
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