Nonarchimedean Fields and Asymptotic Expansions

by Lightstone, A. H.
rrp $95.53

Publisher: North Holland

Publication Date: June 22, 2016

ISBN: 9781483257440

Binding: Kobo eBook

Availability: eBook

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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.