To my eyes, the most glaring omission was a book by Fernando Gouvêa, originally published in , entitled p-adic Numbers: An Introduction. Hensel’s p-adic Numbers: early history. Fernando Q. Gouvêa. Notes for a talk at the AMS regional meeting in Providence, RI, October , Please note that . 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.

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P-Adic Numbers: An Introduction

This is a common argument that is used in solving these types of equations: This elementary introduction offers a broad understanding p-avic p-adic numbers.

Amazon Drive Cloud storage from Amazon. In conclusion, I recommend this book to the set of people interested in p-adic numbers, and its complement. Now consider the converse.

If you are a seller for this product, would you like to suggest updates through seller support? Thiago Dourado marked it as to-read Dec 15, Perez-GarciaAlain Escassut No preview available – Learn more about Amazon Giveaway. Algebraic Numbers and Functions.

p-adic Number

A similar application is the proof of the von Staudt-Clausen theorem using the -adic valuation, although the technical details are somewhat difficult. Get to Know Us.


KhrennikovMarcus Nilsson Limited preview – So we have an immediate proof of the irrationality of. Paperbackpages.

I just learn better this way, there’s no doubt about it.

p-adic Numbers: An Introduction – Fernando Gouvea – Google Books

For sufficiently large. Set up a giveaway. Because the 2-adic numbers contain the rationals as a subset, we can immediately see that the equation has no solutions in the rationals.

Want to Read Currently Reading Read. Shopbop Designer Fashion Brands. Nitin CR added it Dec 31, A -adic number is an extension of the field of rationals such numbres congruences modulo powers of a fixed prime are related to proximity in the so called ” -adic metric. ComiXology Thousands of Digital Comics. The -adic valuation on gives rise to the -adic metric.

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P-Adic Numbers: An Introduction by Fernando Q. Gouvêa

Other editions – View all p-adic Numbers: Ships from and sold by Amazon. Practice online or make a printable study sheet. More recently, p-adic num bers have shown up in other areas of mathematics, and even in physics. This elementary introduction offers a broad understanding of p-adic numbers. Write a customer review. Customers who bought this item also bought. Please try again later. Just a moment while we sign you in to your Goodreads account.


There gouvra numbers of all kinds: Explore the Home Gift Guide. To ask other readers questions about P-Adic Numbersplease sign up.

Springer; 2nd edition August 5, Language: Account Options Sign in. Can we conclude that the equation has a solution in? This is the best introduction-level mathematics textbook I have ever read, and I have read and own many. The idea behind theorems, and why and how they came alive are so nicely exposed that this book can replace your favorite bed time one.

Avana marked it as to-read Jun 07, Gojvea Second Chance Pass it on, trade it in, give it a second life. Steven added it Dec 25,