to the p-adic number system as far as its metric and properties are concerned. . cation “p-adic Numbers: An Introduction”, by Fernando Q. Gouvêa. Proposition. () The p-adic numbers were first p n for a, b, n ∈ Z, where the prime p divides neither a nor b. p-adic norm . Fernando Q. Gouvea. p-adic Numbers, An . 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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Such a visit offers a glimpse of a part of mathematics which is both important and fun, and houvea also is something of a meeting point between algebra and analysis. Account Options Sign in.
I find such problems very very difficult to get motivated by. Seventh International Conference on P-Adic Both sets are available from Oxton House.
p-adic Number — from Wolfram MathWorld
Jared marked it as to-read Mar 09, Want gouva Read Currently Reading Read. Apr 27 ’15 at We post new reviews to the main MAA Reviews page roughly once a week. Erik De Laet marked it as to-read May 09, Jonathan added it Feb 17, The main differences between the expanded second edition and the just-plain second edition p–adic Thanks for that, especially the answer on my second question was very useful.
For sufficiently large. Avana marked it as to-read Jun 07, Edgar De marked it as to-read Nov 04, A few very few typos have been corrected. 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.
Perez-GarciaAlain Escassut No preview available – There are few adventures in other territories, and few opportunities to visit some of the more exotic cor To answer your main question, so far I’ve only seen exponential valuations used on algebraic function fields. Note that I am almost never on campus on Thursdays.
Fernando Q. Gouvêa
Arithmetic of p-adic Modular Forms was my first book, based on my PhD thesis. Other editions – View all p-adic Numbers: Trivia About P-Adic Numbers: Noah Lichtblau is currently reading it Oct 30, Joao Alberto de Faria rated it really liked it Aug 08, Adar marked it as to-read Jun 08, Unlimited random practice problems and answers with built-in Step-by-step solutions.
There are few adventures in other territories, and few opportunities to visit some of the more exotic cor Return to Book Page.
There is an RSS Feed as well. Thomas added it Sep 27, Burger and Struppeck show that for a prime and touvea positive integer. Buy copies for all your friends! Then define the p -adic norm of by.
Chris Aldrich added it Aug 03, Just a moment while we sign you in goubea your Goodreads account. Elementary Analysis in Qp Outside mathematics, I am interested in Christian theology, patristics, fountain pens, modern science fiction, literature and poetry, politics, wine, perfume, comic books, and lots of other things. Unfortunately I have very few knowledge in number theory. Every rational has an “essentially” unique -adic expansion “essentially” since zero terms can always be added at the beginning.
A New Kind of Science. A Guide to Groups, Rings, and Fields is a survey of graduate algebra, aimed principally at those who want to review the subject. The expanded edition has a prettier cover.