Bulletin of the American Mathematical Society

MathSciNet review: 1566950
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Book Information:

Authors: A. H. Lightstone and A. Robinson
Title: Non-archimedean fields and asymptotic expansions
Additional book information: North-Holland Mathematical Library, vol. 13, North-Holland/American Elsevier, Amsterdam and New York, 1975, 204 + x pp., $24.95.

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W. A. J. Luxemburg, Non-standard analysis, California Institute of Technology, Mathematics Department, Pasadena, Calif., 1973. Lectures on A. Robinson’s theory of infinitesimals and infinitely large numbers; Reprinted from the second edition, 1964. MR 0491162

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Abraham Robinson, On the real closure of a Hardy field, Theory of sets and topology (in honour of Felix Hausdorff, 1868–1942), VEB Deutsch. Verlag Wissensch., Berlin, 1972, pp. 427–433. MR 0340225

Abraham Robinson, Function theory on some nonarchimedean fields, Amer. Math. Monthly 80 (1973), no. 6, 87–109. Papers in the foundations of mathematics. MR 330126, DOI 10.2307/3038223

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D. Laugwitz, Eine nichtarchimedische Erweiterung angeordneter Körper, Math. Nachr. 37 (1968), 225-236. MR 39 #4125. MR 0242798

2.

T. Levi-Civita, Sugli infiniti ed infinitesimali actuali quali elementi analytici, Opere Matematiche, Vol. 1. 1893-1900, Bologna, 1954, pp. 1-39. MR 16, 1. MR 62680

3.

W. A. J. Luxemburg, Non-standard analysis. Lectures on A. Robinson's theory of infinitesimals and infinitely large numbers, Calif. Inst, of Technology, Pasadena, Calif., 1962 (mimeographed notes). MR 491162

4.

A. Ostrowski, Untersuchungen zur arithmetischen Theorie der Körper, Math. Z. 39 (1934), 269-404.

5.

J. Popken, Asymptotic expansions from an algebraic standpoint, Nederl. Akad. Wetensch. Proc. Ser. A 56 = Indag. Math. 15 (1953), 131-143. MR 15, 27. MR 56114

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Abraham Robinson, Non-standard analysis, North-Holland, Amsterdam, 1966. MR 34 #5680. MR 205854

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Abraham Robinson, Elementary embeddings of fields of power series, J. Number Theory 2 (1970), 237-247. MR 41 #3451. MR 258805

8.

Abraham Robinson, On the real closure of a Hardy field, Theory of Sets and Topology (Hausdorff Memorial Volume, G. Asser et al., editors), VEB Deutsch. Verlag Wissensch., Berlin, 1972, pp. 427-433. MR 49 #4980. MR 340225

9.

Abraham Robinson, Function theory on some nonarchimedean fields, Papers in the Foundations of Mathematics, Amer. Math. Monthly 80 (1973), 87-109. MR 48 #8464. MR 330126