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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Try the Kindle edition and experience these great reading features: You’re curious about beautifull topics in math, but reading a classical texbook, browsing through a list of lemma and therorems just get you sleep? There was a problem filtering reviews right now. Just a moment while we sign you in to your Goodreads account.
I do have one complaint: You already told me what the answer is! A similar application is the proof of the von Staudt-Clausen theorem using the -adic valuation, although the technical details are somewhat difficult. Verein 6, Want to Read saving….
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. Thomas added it Sep 27, It can be shown that the rationals, together with the -adic metric, do not form a complete metric space. Perez-GarciaAlain Escassut No preview available – Unlimited random practice problems and answers with built-in Step-by-step solutions.
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P-Adic Numbers: An Introduction
Such equations are said to satisfy the Hasse principle. The goal of this nkmbers is to offer such an opportunity, by way of gouves visit to the p-adic universe. For example, 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. Shopbop Designer Fashion Brands. This is a common argument that is used in solving these types of equations: Hasse subsequently formulated the Hasse principlewhich is one of the chief applications of local field theory.
An Introduction Fernando Q. Burger and Struppeck show that for a prime and a positive integer. Return to Book Page.
Learn more about Amazon Prime. Books by Fernando Q. 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.
Account Options Sign in. The -adics were probably first introduced by Hensel in a paper which was concerned with the development of algebraic numbers in power series. Patrick Whittle added it Feb 25, This elementary introduction offers a broad understanding of p-adic numbers. For sufficiently large. 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
For another example, consider. Really well written book, I like that the chapters youvea “interactive” and that doing the exercises as they are presented help understand the material. 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. Share your thoughts with other customers. Avana marked it numbere to-read Jun 07, East Dane Designer Men’s Fashion.
The -adic valuation on gives rise to the -adic metric.
p-adic Numbers: An Introduction – Fernando Gouvea – Google Books
Gage Hoefer is currently reading it Jun 04, Gouea book is not yet featured on Listopia. Olivierco added it Feb 10, In language mathematicians will find familiar, this means all the ideas are motivated, but it goes beyond that.
Any nonzero rational number can be represented by. English Choose a language for shopping.