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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See all 3 reviews. The goal of this book is to offer such an opportunity, by way of a visit to the p-adic universe.
p-adic Number — from Wolfram MathWorld
In language mathematicians will find familiar, this means all the ideas are motivated, but it goes beyond that. Withoutabox Submit to Film Festivals.
AmazonGlobal Ship Orders Internationally. Now consider the converse.
P-Adic Numbers: An Introduction by Fernando Q. Gouvêa
Lists with This Book. Amazon Rapids Fun stories for kids on the go. It’s a little bit difficult for someone with a casual p-adc, but not too difficult.
There are numbers of all kinds: Asking me to check you weren’t lying to me, when I know you aren’t lying or they would have caught it at the copyediting stage, is not going to get me excited. Jonathan added it Feb 17, This is a common argument gokvea is used in solving these types of equations: There are two things I love in particular: Amazon Music Stream millions of songs.
This elementary introduction offers a houvea understanding of p-adic numbers. Jared marked it as to-read Mar 09, Suppose we have an equation that does have solutions in and in all the for every prime.
P-adic Numbers and Their Functions, 2nd ed. This equation has no solutions in because numbets has no solutions in the realsand is a subset of.
Explore thousands of free applications across nmbers, mathematics, engineering, technology, business, art, finance, social sciences, and more. Adar marked it as to-read Jun 08, The reader is led into the rich structure of the fields Qp and Cp in a beautiful balance between analytic and algebraic aspects.
Thomas added it Sep 27, 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. There are no discussion topics on this book yet. I just I really love the way Gouvea writes about math. Daniel rated it really liked it Dec 25, Refresh and try bouvea.
Avana marked it as to-read Jun 07, Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Hints help you try the next step on your own.
P-Adic Numbers: An Introduction
Unfortunately, in general, the answer is no, but there are classes of equations for which the answer is yes.
If andthen the expansion is unique. I just learn better this way, there’s no doubt about it. Lee Corbin added it Mar 10, In the course of their undergraduate careers, most mathematics majors see little beyond “standard mathematics: Olivierco added it Feb 10, 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.
The -adic numbers are useful in solving Diophantine equations. Goyvea Whittle added it Feb 25, All this and the topic at hand is fascinating to boot.
I find such problems very very difficult to get motivated by. Buy the selected items together This item: Would you like to tell us about a lower price? Such a visit offers a glimpse of a part of mathematics which is both important and fun, and which also is something of a meeting point between algebra and analysis. Chris Sharpe marked it as to-read Dec 06, Every rational has an “essentially” unique -adic expansion “essentially” since zero terms can always be added at p-qdic beginning.
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.