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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Harbin Institute of Technology)
LIU HUANPING (Department of Information Science, Harbin Normal University)
CHUNG PHIL UNG (Department of Mathematics, Kangwon National University)

CUI MINGGEN, LIU HUANPING, & CHUNG PHIL UNG. (2005). SOME BASIC THEOREMS OF CALCULUS ON THE FIELD OF p-ADIC NUMBERS. 한국수학교육학회지시리즈B:순수및응용수학, 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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Vol.12 No.2

SOME BASIC THEOREMS OF CALCULUS ON THE FIELD OF p-ADIC NUMBERS

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학