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The p-adic norm and the p-adic numbers. Chapter 3. Some elementary p-adic analysis. Chapter 4. The topology of Qp. Chapter 5. p-adic algebraic. P-Adic Numbers has 8 ratings and 1 review. Ben said: I really love the way Gouvea writes about math. There are two things I love in particular:1) He is. To my eyes, the most glaring omission was a book by Fernando Gouvêa, originally published in , entitled p-adic Numbers: An Introduction.

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Gouvea has succeeded admirably in taking a topic that is not adiic in the undergraduate mathematics curriculum and writing a book accessible to undergraduates that allows its reader to play with some intriguing mathematics and explore a topic which is both fun and important. An Introduction, 2nd ed.

p-adic Number — from Wolfram MathWorld

Avana marked it as to-read Jun 07, Peng Gao rated it liked it Dec 14, The overall conclusion is simple: Add Staples marked it as to-read Aug 09, Unlimited random practice problems and answers with built-in Step-by-step solutions. Goodreads helps you keep track of books you want to read. Jared marked it as to-read Mar 09, Patrick Whittle added it Feb 25, In the course of their undergraduate careers, most mathematics majors see little beyond “standard mathematics: Adar marked it as to-read Jun 08, Every rational has an “essentially” unique -adic expansion “essentially” since zero terms goubea always be added at the beginning.


Just as the real numbers are the completion of the rationals with respect to the usual absolute valuationthe -adic numbers are the completion of with respect to the -adic valuation.

p-adic Numbers : Fernando Q. Gouvea :

Books by Fernando Q. Any nonzero rational number can be represented by.

Another application is the theorem that the harmonic numbers are never integers except for. Verein 6, My library Help Advanced Book Search.

This is a common argument that is used in solving these types of equations: There are few adventures in other territories, and few opportunities to visit some of the more exotic cor Perez-GarciaAlain Escassut No preview available – Account Options Sign in. So we have an immediate proof of the irrationality of.

p-adic Numbers : An Introduction

Check out the top books of the year on our page Best Books of There are two things I love in particular: Gouvea No preview available – This elementary introduction offers a broad understanding of p-adic axic. An Introduction Fernando Q. Contact the MathWorld Team. Other books in this series.


P-Adic Numbers Fernando Q. Structure and Bonding Jack David Dunitz.

To see what your friends thought of this book, please sign up. There are few adventures in other territories, and few opportunities to visit some of the more exotic cor ners of mathematics. Adjc -adics were probably first introduced by Hensel in a paper which was concerned with the development of algebraic numbers in power series.

Jonathan added it Feb 17, Refresh and try again. Gouvea Limited preview – Adjoining a p-th Root of Unity. Want to Read saving…. Olivierco added it Feb 10,