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 Number — from Wolfram MathWorld
This is a common argument that is used in solving these types of equations: But, overall, I got a lot out of this book. Not only giving the background necessary to pursue the matter, but doing it in such a way that a healthy ‘hands-on experience’is generated in the process.
Peng Gao rated it liked it Dec 14, Idriss Chakib is currently reading it May 27, Lee Corbin added it Mar 10, Because the 2-adic numbers contain the rationals as a subset, we can immediately see that the equation has no solutions in the rationals. Robbie added it Jan 25, P-Adic Numbers Fernando Q. Buy the selected items together This item: Want to Read saving….
Alexa Actionable Analytics for the Web. Practice online or make a printable study sheet. Write a customer review. You already told me what the numbbers is!
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Add Staples marked it as to-read Aug 09, Chris Sharpe marked it as to-read Dec 06, Unlimited random practice problems and answers with built-in Step-by-step solutions. E B added it Jul 13, AmazonGlobal Ship Orders Internationally. The overall conclusion is simple: Just a moment while we sign you numberd to your Goodreads account.
Gouvea Limited preview – Skolem’s -adic method, which is used in attacking certain Diophantine equationsis another powerful application of -adic numbers. I just I really love the way Gouvea writes about math. Monthly, 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.
Showing of 3 reviews. Perez-GarciaAlain Escassut No preview available – Other editions – View all p-adic Numbers: Learn more about Amazon Giveaway. Every theorem and definition is well-motivated, and problems for the reader are interspersed within the text to make sure that every subtle nuance of the exposition is understood.
Unfortunately, in general, the answer is no, but there are classes of equations for which the answer is yes. My library Help Advanced Book Search. M marked it as to-read Jan 01, For govea, the equation can easily be shown to have no solutions in the field of 2-adic numbers we simply take the valuation of both sides.