Nonarchimedean Fields and Asymptotic Expansions - Couverture souple

Lightstone, A. H.

Couverture souple

ISBN 10 : 1483250091 ISBN 13 : 9781483250090

Editeur : North Holland, 2016

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.

Détails de l'édition

• Éditeur: North Holland
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 1483250091
• ISBN 13: 9781483250090
• Reliure: Broché
• Nombre de pages: 214
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible