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.
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 It is desperately out-of-date, since the field has progressed a lot since I wrote it in the late s.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.