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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Showing of 3 reviews. All this and the topic at hand is fascinating to boot.
So we have an immediate proof of the irrationality of. Want to Read saving…. The goal of this book is to offer such an opportunity, by way of a visit to the p-adic universe.
Adar marked it as to-read Jun 08, One of these items ships sooner than the other. Amazon Advertising Find, attract, and engage customers. An Introduction, 2nd ed.
P-Adic Numbers: An Introduction
Beta 5, 4 ditetragonal pyramidal NevilleThetaC 2. Olivierco added it Feb 10, Return to Book Page. If andthen the expansion is unique. In language mathematicians will find familiar, this means all the ideas are motivated, but it goes beyond that.
p-adic Numbers: An Introduction – Fernando Gouvea – Google Books
There’s a problem loading this menu right now. Buy the selected items together This item: KhrennikovMarcus Nilsson Limited preview – I just learn better this way, there’s no doubt about it.
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There was a problem filtering reviews right now. The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts p-aidc mathematics.
Every theorem and definition is well-motivated, and problems for the reader are interspersed within the text to make sure that every subtle nuance of the exposition is understood.
Riccardo Giannitrapani added it Oct 31, Ships from and sold by Amazon. To ask other readers questions about P-Adic Numbersplease sign up.
P-Adic Numbers: An Introduction by Fernando Q. Gouvêa
Hasse subsequently formulated the Hasse principlewhich is one of the chief applications of local field theory. Paperbackpages. Jonathan added it Feb 17, Algebraic Numbers and Functions. Edgar De marked it as to-read Nov 04, My library Help Advanced Book Search.
This is a common argument that is used in solving these types of equations: The organization of the exposition reflects the idea that there is a story here. This is the best introduction-level mathematics textbook I have ever read, and I have read and own many.
Because the 2-adic numbers contain the rationals as a subset, we can immediately see that the equation has no solutions in the rationals. Learn more about Amazon Giveaway. In conclusion, I recommend this book to the set of people interested in p-adic numbers, and its complement. 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. The reader is led into the rich structure of the fields Qp and Cp in a beautiful balance between analytic and algebraic aspects.
Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory. Set up a giveaway. Joseph Stahl rated it it was amazing Jul 07,