Nonarchimedean Fields and Asymptotic Expansions

A. H. Lightstone

ISBN 10: 1483250091 / ISBN 13: 9781483250090

Edité par North Holland, 2016

A propos de cet article

214 pages. 9.00x6.00x0.49 inches. In Stock.

N° de réf. du vendeur zk1483250091

Détails bibliographiques

• Titre: Nonarchimedean Fields and Asymptotic Expansions
• Éditeur: North Holland
• Date de parution: 2016
• Langue: anglais
• ISBN à 10 chiffres: 1483250091
• ISBN à 13 chiffres: 9781483250090
• Reliure: Paperback
• État de l'article: Brand New

A propos de ce titre

Synopsis

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.