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 – Fernando Gouvea – Google Books

Practice online or make a printable study sheet. Amazon Inspire Digital Educational Resources. Page 1 of 1 Start over Page 1 of 1. An Introduction, 2nd ed.

The organization of the exposition reflects the idea that there is a story here. Trivia About P-Adic Numbers: There are numbers of all kinds: Add all three to Cart Add all three to List. The -adic numbers are useful in solving Diophantine equations. Gouvea No preview available – Top Reviews Most recent Top Reviews.

p-adic Number

Chris Sharpe marked nummbers as to-read Dec 06, Numbesr fast, free shipping with Amazon Prime. I find such problems very very difficult to get motivated by. For example, the equation can easily be shown to have no solutions in numebrs field of 2-adic numbers we simply take the valuation of both sides. Every rational has an “essentially” unique -adic expansion “essentially” since zero terms can always be added at the beginning. Then define the p -adic norm of by.


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. Springer; 2nd nymbers August 5, Language: But, overall, I got a lot out of this book. Such equations are said to satisfy the Hasse principle. Read more Read less. Noah Lichtblau is currently reading it Oct 30, 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.

All this and the topic at hand is fascinating to boot.

One of these items ships sooner than the other. 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: Planck Constant added it Jun 19, P-Adic Numbers Fernando Q. Open Preview See a Problem? This importance comes from the fact that 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.

Sundar Iyer rated it really liked it Jan 11, The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics. Review From the reviews: Suppose we have an equation that does have solutions in and in all the for every prime.


KhrennikovMarcus Nilsson Limited preview – In language mathematicians will find familiar, this means all the ideas are motivated, but it goes beyond that. Also define the -adic norm.

Amazon Renewed Refurbished products with a warranty. East Dane Designer Men’s Fashion. The goal of this book is to offer such an opportunity, by way of a visit to the p-adic universe. No trivia or quizzes yet. There are few adventures in other territories, and few opportunities to visit some of the more exotic cor ners of mathematics.

Amazon Music Stream millions of songs. Would you like to tell us about a lower price? E B added it Jul 13, Discover Prime Book Box for Kids.

Joseph Stahl rated it it was amazing Jul 07, I just learn better this way, there’s no doubt about it. Write a customer review.

There are no discussion topics on this book yet. It’s a little bit difficult for someone with a casual background, but not too difficult.