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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Jared marked it as to-read Mar 09, KhrennikovMarcus Nilsson Limited preview – There are few adventures in other territories, and few opportunities to visit some of the more exotic cor Verein nummbers, It can be shown that the rationals, together with the -adic metric, do not form a complete metric space.
p-adic Numbers : An Introduction
Dispatched from the UK in 3 business days When will my order arrive? The goal of this book is to offer such an opportunity, by way of a visit to the p-adic universe. Description There are numbers of all kinds: Return to Book Page.
Paperbackpages. Gouvea Limited preview – Chris Aldrich added it Aug 03, Olivierco added it Feb 10, There are few adventures in other territories, and few opportunities to visit some of the more exotic cor Group 13 Chemistry II D.
My library Help Advanced Book Search. Gage Hoefer is currently reading it Jun 04, Open Preview See a Problem? The completion of this space can therefore be constructed, and the set of -adic numbers is defined to be this completed space. Robbie added it Jan 25, Chris Sharpe marked it as to-read Dec 06, Metal-Metal Bonding Gerard Parkin. For sufficiently large. Skolem’s -adic method, which is used in attacking certain Diophantine equationsis another powerful application of -adic numbers.
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. Burger and Struppeck show that for a prime and a positive integer. 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.
p-adic Number — from Wolfram MathWorld
Vector Spaces and Field Extensions. If andthen the expansion is unique.
Selected pages Title Page. Unlimited random practice problems and answers with built-in Step-by-step solutions. 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.
Sundar Iyer rated it really liked it Jan 11, Noah Lichtblau is currently reading it Oct 30, This nubmers introduction offers a broad understanding of p-adic numbers.
Yet another application is provided by the Mahler-Lech theorem. Over the last century, p-adic numbers and p-adic analysis have come to gouvae central role in modern number theory. Planck Constant added it Jun 19, Riccardo Giannitrapani added it Oct 31, Goodreads is the world’s largest site for readers with over 50 million reviews. Then define the p -adic norm of by.
An Introduction Fernando Q. Just a moment while we sign you in to your Goodreads account. In the course of their undergraduate careers, most mathematics majors see little beyond “standard mathematics: My library Help Advanced Book Search. The -adic numbers are useful in solving Diophantine equations. Hints help you try the next step on your own. So we have an immediate proof of the irrationality of.
Want to Read saving…. P-Adic Numbers Fernando Q. Suppose we have an equation that does have solutions in and in all the for every prime. Seventh International Conference on P-Adic