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P-Adic Numbers: An Introduction 2020 Edition
Contributor(s): Gouvêa, Fernando Q. (Author)

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 ISBN: 3030472949     ISBN-13: 9783030472948
Publisher: Springer
OUR PRICE: $56.99  

Binding Type: Paperback
Published: June 2020
Qty:
Additional Information
BISAC Categories:
- Mathematics | Number Theory
- Mathematics | Algebra - Abstract
- Mathematics | Mathematical Analysis
Physical Information: 0.78" H x 6.14" W x 9.21" L (1.17 lbs) 366 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
In the course of their undergraduate careers, most mathematics majors see little beyond "standard mathematics: " basic real and complex analysis, ab- stract algebra, some differential geometry, etc. There are few adventures in other territories, and few opportunities to visit some of the more exotic cor- ners of mathematics. The goal of this book is to offer such an opportunity, by way of a visit to the p-adic universe. 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. Over the last century, p-adic numbers and p-adic analysis have come to playa central role in modern number theory. This importance comes from the fact that they afford a natural and powerful language for talking about congruences between integers, and allow the use of methods borrowed from calculus and analysis for studying such problems. More recently, p-adic num- bers have shown up in other areas of mathematics, and even in physics.
 
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