Nonarchimedean Fields and Asymptotic Expansions - Brossura

Lightstone, A. H.

Brossura

ISBN 10: 1483250091 ISBN 13: 9781483250090

Casa editrice: North Holland, 2016

Riassunto

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.

Dettagli dell'edizione

• Editore: North Holland
• Data di pubblicazione: 2016
• Lingua: Inglese
• ISBN 10: 1483250091
• ISBN 13: 9781483250090
• Rilegatura: Copertina flessibile
• Numero di pagine: 214
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile