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Nonarchimedean Fields and Asymptotic Expansions Book PDF Summary

North-Holland Mathematical Library, Volume 13: Nonarchimedean Fields and Asymptotic Expansions focuses on the connection between nonarchimedean systems and the orders of infinity and smallness that are related with the asymptotic behavior of a function. The publication first explains nonarchimedean fields and nonstandard analysis. Discussions focus on the method of mathematical logic, ultrapower construction, principles of permanence, internal functions, many-sorted structures, nonarchimedean fields and groups, and fields with evaluation. The text then discusses the Euler-Maclaurin expansions and the formal concept of asymptotic expansions. Topics include a generalized criterion for asymptotic expansions, asymptotic power series, Watson's Lemma, asymptotic sequences, and the Euler-Maclaurin formula. The manuscript examines Popken space, including asymptotically finite functions, convergence, norm, algebraic properties of the norm, and Popken's description of the norm. The text is a dependable reference for mathematicians and researchers interested in nonarchimedean fields and asymptotic expansions.

Detail Book of Nonarchimedean Fields and Asymptotic Expansions PDF

Nonarchimedean Fields and Asymptotic Expansions
  • Author : A. H. Lightstone
  • Release : 03 June 2016
  • Publisher : Elsevier
  • ISBN : 9781483257440
  • Genre : Mathematics
  • Total Page : 215 pages
  • Language : English
  • PDF File Size : 19,6 Mb

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