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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Read the reviews, buy the books. Jared marked it as to-read Mar 09, Check here for a few errata, notes, and other comments about the book. This equation has no solutions in because it has no solutions in the realsand is a subset of. Noah Lichtblau is currently reading it Oct 30, Unfortunately I gojvea very few knowledge in number theory.

Both sets are available from Oxton House. A Hints and Comments on the Problems Patrick Whittle added it Feb 25, The book is an introduction to p-adic numbers and p-adic analysis aimed at mathematics undergraduates. E B added it Jul 13, In the course of their undergraduate careers, most mathematics majors p-adiic little beyond “standard mathematics: To ask other readers questions about P-Adic Numbersplease sign up.


This elementary introduction offers a broad understanding of p-adic numbers.

Verein 6, Contact the MathWorld Team. I find such problems very very difficult to get motivated by. Volumes 32 and 33 appeared recently: In language mathematicians will find familiar, this means all the ideas are motivated, but it goes beyond that.

Seventh International Conference on P-Adic Gouvea No preview available – This book is not yet featured on Listopia. Buy copies for all your friends! The organization of the exposition reflects the idea that there is a story here. There are two sets of worksheets. Lee Corbin added it Mar 10, We post new reviews to the main MAA Reviews page roughly once a week.

For your other question, recall the following Fact: Add Staples marked it as to-read Aug 09, Any nonzero rational number can be represented by. Unlimited random practice problems and answers with built-in Step-by-step solutions.

Gouvea No preview available – Just a moment while we sign you in to your Goivea account.

Fernando Q. Gouvêa

Open Preview See a Problem? Hints help you try the next step on your own. History of Mathematics, especially the history of algebra and number theory, and Number Theory and P-acic Geometry, with a special focus on modular forms and Galois representations. If you need to see me at a different time, please email me to make an appointment.

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. There are two things I love in particular: Email Required, but never shown.



Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social sciences, and more. The expanded edition includes problems and projects. You already told me what the answer is! Mathematics Stack Exchange works best with JavaScript enabled. An Introduction, 2nd ed.

There are p-adc adventures in other territories, and few opportunities to visit some of the more exotic cor ners of mathematics.

Lecture Notes on p-adic Numbers

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. Thiago Dourado marked it as to-read Dec 15, gouvae I really love the way Gouvea writes about math. Thanks for telling us about the problem.

Sundar Iyer rated it really liked it Jan 11, Planck Constant added it Jun 19, Apr 27 gouvda at