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Könyv Arithmetic Differential Operators over the p-adic Integers Claire C Ralph

Arithmetic Differential Operators over the p-adic Integers

Szerző: Claire C Ralph
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Cambridge University Press
Elérhetőség: Beszállítói készleten
Küldés 14-21 napon belül
28 979 Ft
The study of arithmetic differential operators is a novel and promising area of mathematics. This co...

Információk a könyvről

Szerző
Claire C Ralph
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2012
oldal
146
EAN
9781107674141
ISBN
110767414X
Enbook ID
04449604
Kiadó
Cambridge University Press
Súly
248
Méretek
229 x 152 x 5

Teljes leírás

The study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to the definition of arithmetic differential operators on this field. Buium's theory of arithmetic jet spaces is then developed succinctly in order to define arithmetic operators in general. Features of the book include a comparison of the behaviour of these operators over the p-adic integers and their behaviour over the unramified completion, and a discussion of the relationship between characteristic functions of p-adic discs and arithmetic differential operators that disappears as soon as a single root of unity is adjoined to the p-adic integers. This book is essential reading for researchers and graduate students who want a first introduction to arithmetic differential operators over the p-adic integers.

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