Some basic theorems of calculus on the field of p-adic numbers

CUI MINGGEN; CUI MINGGEN; LIU HUANPING; LIU HUANPING; CHUNG PHIL UNG; CHUNG PHIL UNG

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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Vol.12 No.2

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Some basic theorems of calculus on the field of p-adic numbers

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2005, v.12 no.2, pp.125-131

CUI MINGGEN
LIU HUANPING
CHUNG PHIL UNG

CUI, M. , LIU, H. , & CHUNG, P. U. (2005). Some basic theorems of calculus on the field of p-adic numbers. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 12(2), 125-131.

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Abstract

In this paper, we introduce the concept of derivative of the function f : <TEX>$\mathbb{Q}p{\to} R$</TEX> where <TEX>$\mathbb{Q}p$</TEX> is the field of the p-adic numbers and R is the set of real numbers. And some basic theorems on derivatives are given.

keywords: field of p-adic numbers, derivative, derivative rules

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Article Contents

Vol.12 No.2

Some basic theorems of calculus on the field of p-adic numbers

Abstract

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics