To my eyes, the most glaring omission was a book by Fernando Gouvêa, originally published in , entitled p-adic Numbers: An Introduction. Hensel’s p-adic Numbers: early history. Fernando Q. Gouvêa. Notes for a talk at the AMS regional meeting in Providence, RI, October , Please note that . 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.

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The overall conclusion is simple: You’re curious about beautifull topics in math, but reading a classical texbook, browsing through a list of lemma and therorems just get you sleep? Thiago Dourado marked it as to-read Dec 15, The -adics were probably first introduced by Hensel in a paper which was concerned with the development of algebraic numbers in power series. The -adic numbers are useful in p-daic Diophantine equations.

p-adic Number

Peng Gao rated it liked it Dec 14, I just I really love the way Gouvea writes about math. Just as the real numbers are the completion of the rationals with respect to the usual absolute valuationthe -adic numbers are the completion of with respect to the -adic valuation. 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. Amazon Second Chance Pass it on, trade it in, give it a second life.


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Published May 22nd by Springer first published September 10th gouvew Top Reviews Most recent Top Reviews. Steven added it Dec 25, Amazon Renewed Refurbished products with a warranty. Goodreads helps you keep track of books you want to read. Want to Read Currently Reading Read.

Yet another application is provided by the Mahler-Lech theorem.

Account Options Sign in. Verein 6, Ships from and sold by Amazon. See all 3 reviews. Every rational has an “essentially” unique -adic expansion “essentially” since zero terms can always be added at the beginning.

The organization of the exposition reflects the idea that there is a story here. Review From numhers reviews: Hasse subsequently formulated the Hasse principlewhich is one of the chief applications of local field theory.

To see what your friends thought of this book, please sign up. Can we conclude that the equation has a solution in?

There are numbers of all kinds: Shyan rated it it was amazing May 26, Page 1 of 1 Start over Page 1 of 1. Springer; 2nd edition August 5, Language: This is the best introduction-level mathematics textbook I have ever read, and I have read and own many. Add all three numbrrs Cart Add all three to List. Numebrs library Help Advanced Book Search. No trivia or quizzes yet. There are two things I love in particular: P-Adic Numbers Fernando Q.

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Wilhelmus Hendricus SchikhofC. An Introduction Fernando Q. In conclusion, I recommend this book to the set of people interested in p-adic numbers, and its complement.

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

Try the Kindle edition and experience these great reading features: Not only giving the background necessary -padic pursue the matter, but doing it in such a way that a healthy ‘hands-on experience’is generated in the process. Shopbop Designer Fashion Brands.

Return to Book Page. Idriss Chakib is currently reading it May 27, Seventh International Conference on P-Adic