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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Tidal Phenomena Helmut Wilhelm. Every rational has an “essentially” unique -adic expansion “essentially” since zero terms can always be added at the beginning.
An Introduction Fernando Q. Edgar De marked it as to-read Nov 04, Gouvea No preview available – Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more.
No trivia or quizzes yet. Yet another application is provided by the Mahler-Lech theorem. Thanks for telling us about the problem. There are no discussion topics on this book yet.
P-Adic Numbers: An Introduction
The reader is led into the rich structure of the fields Qp and Cp in a beautiful balance between analytic and algebraic aspects. Chris Sharpe marked it as to-read Dec 06, Gage Hoefer is currently reading it Jun 04, Just as the numners numbers are the completion of gouveaa rationals with respect to the usual absolute valuationthe -adic numbers are the completion of with respect to the -adic valuation. Table of contents 1 Aperitif.
This is a common argument that is used in solving these types of equations: Add Staples marked it as to-read Aug 09, Contact the MathWorld Team.
Just a moment while we sign you in to your Goodreads account. Gouvea Limited preview – So we have an immediate proof of the irrationality of. An Introduction Fernando Q. But, overall, I got a lot out of numers book. Daniel rated it really liked it Dec 25, More recently, p-adic num bers have shown up in other areas of mathematics, and even in physics.
Also define the -adic norm. Structure and Bonding C. Such equations are said to satisfy the Hasse principle. 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.
Planck Constant added it Jun 19, Other editions – View all p-adic Numbers: Mon Dec 31 Lee Corbin added it Mar 10, 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.
Account Options Sign in. Vector Spaces and Field Extensions. I just I really love the way Gouvea writes about math.
p-adic Numbers : Fernando Q. Gouvea :
Books by Fernando Q. Algebraic Numbers and Functions. An Introduction by Fernando Q. Verein 6, A New Kind of Science. Robbie added it Jan 25, Wilhelmus Hendricus SchikhofC. Review Text From the reviews: 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 Numbers: An Introduction by Fernando Q. Gouvêa
Thiago Dourado marked it as to-read Dec 15, Any nonzero rational number can be represented by. This equation has no solutions in because it has no solutions in the realsand is a subset of.
In language mathematicians will find familiar, this means all the ideas are motivated, but it goes beyond that. Touvea elementary introduction offers a broad understanding of p-adic numbers.
Other editions – View gouva p-adic Numbers: Chris Aldrich added it Aug 03,