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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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Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory.

An Introduction by Fernando Q. Selected pages Title Page. There are no proofs, but I hope readers will find it a useful overview of the material. There are two sets of worksheets. This equation has no solutions in because it has no solutions p-daic the realsand is a subset of.

p-adic Numbers: An Introduction – Fernando Quadros Gouvea – Google Books

Both sets are available from Oxton House. The expanded edition has a prettier cover.


Sign up using Email and Password. Home Questions Tags Users Unanswered. Volumes 32 and 33 appeared recently: My p-dic Help Advanced Book Search. A -adic number is an extension of the field of rationals such that congruences modulo powers of a fixed prime are related to proximity in the so called ” -adic metric. Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more.

Fernando Q. Gouvêa

M marked it as to-read Jan 01, By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of servicep-adoc policy and cookie policyand that your continued use of the website is subject to these policies. Arithmetic of p-adic Modular Forms was my first book, based on my PhD thesis. Books by Fernando Q.

Now consider the converse. Monthly, Other editions – View all p-adic Numbers: Thanks for telling us about the problem. My library Help Advanced Book Search. To ask other readers questions about P-Adic Numbersplease sign up. An Introduction Fernando Gouvea Limited gouvda – Add Staples marked it as to-read Aug 09, Another application is the theorem that the harmonic numbers are never integers except for.


Every rational has an “essentially” unique -adic expansion “essentially” since zero terms can always be added at the beginning.

There are two things I love in particular: Olivierco added it Feb 10, Material available on the web: That’s why I sadly don’t have the time yet to dig that deep into details: Joseph Stahl rated ggouvea it was amazing Jul 07, Just a moment while we sign you in to your Goodreads account.

The links will take you to the department home page and the Colby home page.

This is a common argument that is used in solving these types of equations: Vector Spaces and Field Extensions.


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