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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF
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.

References [Enhancements On Off] (What's this?)

  • 1. Detlef Laugwitz, Eine nichtarchimedische Erweiterung angeordneter Körper, Math. Nachr. 37 (1968), 225–236 (German). MR 0242798
  • 2. Tullio Levi-Civita, Opere matematiche. Memorie e note. Vol. I. 1893–1900, Nicola Zanichelli Editore, Bologna, 1954 (Italian). Pubblicate a cura dell’Accademia Nazionale dei Lincei. MR 0062680
  • 3. W. A. J. Luxemburg, Non-standard analysis, Mathematics Department, California Institute of Technology, Pasadena, Calif., 1973. Lectures on A. Robinson’s theory of infinitesimals and infinitely large numbers; Reprinted from the second edition, 1964. MR 0491162
  • 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=Indagationes Math. 15 (1953), 131–143. MR 0056114
  • 6. Abraham Robinson, Non-standard analysis, North-Holland Publishing Co., Amsterdam, 1966. MR 0205854
  • 7. Abraham Robinson, Elementary embeddings of fields of power series, J. Number Theory 2 (1970), 237–247. MR 0258805
  • 8. 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
  • 9. Abraham Robinson, Function theory on some nonarchimedean fields, Amer. Math. Monthly 80 (1973), no. 6, 87–109. Papers in the foundations of mathematics. MR 0330126

Review Information:

Reviewer: Peter A. Loeb
Journal: Bull. Amer. Math. Soc. 83 (1977), 231-235