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Arithmetic Differential Operators over the p-adic Integers (London Mathematical Society Lecture Note Series, Series Number 396)

Unknown Author
4.9/5 (10971 ratings)
Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Arithmetic Differential Operators over the p-adic Integers (London Mathematical Society Lecture Note Series, Series Number 396). To get started finding Arithmetic Differential Operators over the p-adic Integers (London Mathematical Society Lecture Note Series, Series Number 396), you are right to find our website which has a comprehensive collection of manuals listed.
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110767414X

Arithmetic Differential Operators over the p-adic Integers (London Mathematical Society Lecture Note Series, Series Number 396)

Unknown Author
4.4/5 (1290744 ratings)
Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Arithmetic Differential Operators over the p-adic Integers (London Mathematical Society Lecture Note Series, Series Number 396). To get started finding Arithmetic Differential Operators over the p-adic Integers (London Mathematical Society Lecture Note Series, Series Number 396), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
Format
PDF, EPUB & Kindle Edition
Publisher
Release
ISBN
110767414X
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