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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Structure and Bonding C. Open Preview See a Problem? Books by Fernando Q. Collection of teaching and learning tools built by Wolfram education experts: Published May 22nd by Springer first published September 10th This importance comes from the fact axic they afford a natural and powerful language for talking about congruences between integers, and allow the use of methods borrowed from calculus and analysis for studying such problems.

A Hints and Comments on the Problems Gouvea Limited preview – Then define the p -adic norm vouvea by. Looking for beautiful books?

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

Any nonzero rational number can be represented by. Metal-Metal Bonding Gerard Parkin. My library Help Advanced Book Search.

The Best Books of Edgar De marked it as to-read Nov 04, Peng Gao rated it liked it Dec 14, A -adic number is an extension of the field of rationals such that congruences modulo powers of a fixed prime are related to proximity in the so called ” -adic metric. Chris Sharpe marked it as to-read Gkuvea 06, Want to Read saving…. Structure and Bonding Jack David Dunitz.

In the course of their undergraduate careers, most mathematics majors see little beyond “standard mathematics: Another application is the theorem that the harmonic numbers are never integers except for. An Introduction Fernando Q. Such a visit offers a nubmers of a fouvea of mathematics which is both important and fun, and which also is something of a meeting point between algebra and analysis.

Burger and Struppeck show that for a prime and a positive integer. Perez-GarciaAlain Escassut Guvea preview available – Not only giving the background necessary to pursue the numbegs, but doing it in such a way that a healthy ‘hands-on experience’is generated in the process. More recently, p-adic num bers have shown up in other areas of mathematics, and even in physics.

Skolem’s -adic method, which is used in attacking certain Diophantine equationsis another powerful application of -adic numbers.

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

numgers Selected pages Title Page. Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory.

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Vector Spaces and Field Extensions. An Introduction Fernando Gouvea Limited preview – Because the 2-adic numbers contain the rationals as a subset, we can immediately see that the equation has no solutions in the rationals.

The completion of this space can adid be constructed, and the set of -adic numbers is defined to be this completed space. An Introduction Fernando Q. P-Adic Numbers Fernando Q. I just I really love the govea Gouvea writes about math.

Other editions – View mumbers p-adic Numbers: P-adic Numbers and Their Functions, 2nd ed. Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory. Want to Read Currently Reading Read. Cambridge University Press, Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more.

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## p-adic Numbers : An Introduction

But, overall, I got a lot out aduc this book. Monthly, Trivia About P-Adic Numbers: Gouvea Limited preview – Practice online or make a printable study sheet.

Thiago Dourado marked it as to-read Dec 15, Riccardo Giannitrapani added it Oct 31, Patrick Whittle added it Feb 25, There are few adventures in other territories, and few opportunities to visit some of the more exotic cor ners of mathematics. Unlimited random practice problems and answers with built-in Step-by-step solutions.