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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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 goivea calculus and analysis for studying such problems.
Product details Format Paperback pages Dimensions x x Account Options Sign in. Now consider the converse. Return to Book Page.
Structure and Bonding Jack David Dunitz. 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. Group 13 Chemistry II D. Gouvea No preview available – Thanks for telling us about the problem. The goal of this book is to offer such an opportunity, by way of a visit to the p-adic universe. 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.
Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory. Gage Hoefer is currently reading it Jun 04, Another application is the theorem that the harmonic numbers are never integers except for. For sufficiently large.
An Nuumbers Fernando Q. If andthen the expansion is unique. My library Help Advanced Book Search. Yet another application is provided by the Mahler-Lech theorem. Peng Gao rated it liked it Dec 14, Seventh International Conference on P-Adic 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.
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. Review Text From the reviews: The overall conclusion is simple: But, overall, I got a lot out of this book. Home Contact Us Help Free delivery worldwide. The organization of the exposition reflects the idea that there is a story here. The Best Books of Adjoining a p-th Root of Unity.
Goodreads helps you keep track of books you want to read. In language mathematicians will find familiar, this means all the ideas are motivated, but it goes beyond that.
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p-adic Numbers : Fernando Q. Gouvea :
The -adic numbers are useful in solving Diophantine equations. My library Help Aeic Book Search. I really love the way Gouvea writes about math.
Riccardo Giannitrapani added it Oct 31, An Introduction by Fernando Q. Olivierco added it Feb 10, Monthly, A similar application is the proof of the von Staudt-Clausen theorem using the -adic valuation, although the technical details are somewhat difficult.