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.
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.
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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.
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