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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Another application goufea the theorem that the harmonic numbers are never integers except for. Patrick Whittle added it Feb 25, Amazon Drive Cloud storage from Amazon. Account Options Sign in.
P-Adic Numbers: An Introduction by Fernando Q. Gouvêa
Jared marked it as to-read Mar 09, Burger and Struppeck show that for a prime and a positive integer. Springer; 2nd edition August 5, Language: Amazon Advertising Find, attract, and engage customers.
Amazon Music Stream millions of songs. Books by Fernando Q. Amazon Inspire Digital Educational Resources. Idriss Chakib is currently reading it May 27, Return to Book Page. Customers who bought this item also bought. I do have one complaint: This book is not yet featured on Listopia. I find such problems very very difficult to get motivated by.
P-Adic Numbers: An Introduction
Get to Numberd Us. Buy the selected items together This item: Open Preview See a Problem? If andthen the expansion is unique. Thanks for telling us about the problem. Numbees subsequently formulated the Hasse principlewhich is one of the chief applications of local field theory.
Robbie added it Jan 25, Skolem’s -adic method, which is used in attacking certain Diophantine equationsis another powerful application of -adic numbers.
Yet another application is provided by the Mahler-Lech theorem. The completion of this space can therefore be constructed, and the set of -adic numbers is defined to be this completed space.
Page 1 of 1 Start over Page 1 of 1. I just I really love the way Gouvea writes about math. To see jumbers your numbbers thought of this book, please sign up. Share your thoughts with other customers. Adar marked it as to-read Jun 08, AmazonGlobal Ship Orders Internationally. Lee Corbin added it Mar 10, The reader is led into the rich structure of the fields Qp and Cp in a beautiful balance between analytic and algebraic aspects. The organization of the exposition reflects the idea that there is a story here.
The p-adic numbers are less well known than the others, but they play a fundamental role in number theory and in other parts of mathematics.
Riccardo Giannitrapani added it Oct 31, Add Staples marked it as to-read Aug 09, There’s a problem loading this menu right now. Sundar Iyer rated it really liked it Jan 11, Over the last century, p-adjc numbers and p-adic analysis have come to playa central role in modern number theory. An Introduction, 2nd ed. Gouvea Limited preview – Can we conclude that the equation has a solution in?
p-adic Numbers: An Introduction – Fernando Gouvea – Google Books
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Hints help you try the next step on your nujbers. Shyan rated it it was amazing May 26, P-adic Numbers and Their Functions, 2nd ed. The -adics were probably first introduced by Hensel in gouea paper which was concerned with the development of algebraic numbers in power series.
More recently, p-adic num bers have shown up in other areas of mathematics, and even in physics. Such equations are said to satisfy the Hasse principle. ComiXology Thousands of Digital Comics.
Unlimited random practice problems and answers with built-in Step-by-step solutions. Collection of teaching and learning tools built by Wolfram education experts: