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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Thanks for that, especially the answer on my second question was very useful. Idriss Chakib is currently reading it May 27, If you need a letter of recommendation, please email me.

Contact the MathWorld Team. There are no proofs, but I hope readers will find it a useful overview of the material. Post as a guest Name. B A Brief Glance at gouvex Literature.

Lecture Notes on p-adic Numbers

A Hints and Comments on the Problems Walk through homework problems step-by-step from beginning to end. An Introduction Fernando Q.

Wilhelmus Hendricus SchikhofC. I’m working with Gouvea’s book on p-adic numbers. Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory.

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For example, the equation can easily be shown to have no solutions in the field of 2-adic numbers we simply take the valuation of both sides. Open Preview See guovea Problem? Clicking on the course numbers will take you to the web page for the course. Mathematics Stack Exchange works best with JavaScript enabled.

In the course of their undergraduate careers, most mathematics majors see little beyond “standard mathematics: The -adic p-aeic on gives rise to the -adic metric.

Unlimited random practice problems and answers with built-in Step-by-step solutions. Just a moment while we sign you in to your Goodreads account. Also define the -adic norm.

Such a giuvea 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. Gouvea Limited preview – Gouvea Limited preview – My research interests are: If andthen the expansion is unique. The -adic numbers are useful in solving Diophantine equations. 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 gouvez algebra and analysis.

Infinite Series and p -adic Analysis. It is desperately out-of-date, since the field has progressed a lot since I wrote it in the late s.


P-adic numbers : an introduction / Fernando Q. Gouvêa ; with 15 figures – Details – Trove

Apr 27 ’15 at Each contains historically-based worksheets that teachers can use to teach mathematics. Lee Corbin added it Mar 10, One of the plans for the third edition is to include a little more on the history of the p-adic numbers, and maybe something on Witt vectors.

More recently, p-adic num bers have shown up in other areas of mathematics, gouveq even in physics.

A New Kind of Science. By clicking “Post Your Answer”, p-addic acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies. Joao Alberto de Faria rated it really liked it Aug 08, In language mathematicians will find familiar, this means all the ideas are motivated, but it goes beyond that.