One-variable and multi-variable calculus on a non-Archimedean field extension of the real numbers

DOI10.1134/S2070046613020040zbMath1309.26029OpenAlexW1975337102MaRDI QIDQ2263123

Khodr Shamseddine

Publication date: 17 March 2015

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046613020040

zbMATH Keywords

Taylor formulanon-Archimedean analysismultivariate calculuscomplete valued fieldsderivate differentiability

Mathematics Subject Classification ID

Valued fields (12J10) Non-Archimedean analysis (26E30)

Related Items (2)

On Non-Archimedean Valued Fields: A Survey of Algebraic, Topological and Metric Structures, Analysis and Applications ⋮ Analysis on the Levi-Civita field and computational applications

Cites Work

• Analytical properties of power series on Levi-Civita fields
• Generalized power series on a non-Archimedean field
• On the topological structure of the Levi-Civita field
• Fields: Algebraically closed and others
• Constrained second order optimization on non-archimedean fields
• Intermediate values and inverse functions on non-Archimedean fields
• Intermediate value theorem for analytic functions on a Levi-Civita field
• Algebraically Closed Fields Analogous to Fields of Puiseux Series
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: One-variable and multi-variable calculus on a non-Archimedean field extension of the real numbers