p-adic Numbers:An Introduction, 3rd ed. (Universitext) '20

Gouvêa, Fernando Q.  著

在庫状況 海外在庫有り  お届け予定日 1ヶ月 
価格 特価  \8,980(税込)         
発行年月 2020年06月
Springer International Publishing
出版国 スイス
言語 英語
媒体 冊子
装丁 paper
ページ数/巻数 XIII, 366 p. 19 illus.
ジャンル 洋書/理工学/数学/代数学
ISBN 9783030472948
商品コード 1031637298
本の性格 学術書
新刊案内掲載月 2020年06月


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.