A. H. Lightstone, Abraham Robinson

Nonarchimedean Fields and Asymptotic Expansions (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Elsevier Science & Techn.
• Seitenzahl: 214
• Erscheinungstermin: 3. Juni 2016
• Englisch
• ISBN-13: 9781483257440
• Artikelnr.: 45352096