| 书目名称 | p-adic Numbers | | 副标题 | An Introduction | | 编辑 | Fernando Q. Gouvêa | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Textbook 19972nd edition | | 关键词 | Algebra; absolute values on fields; calculus; finite field; number theory; p-adic analysis; p-adic numbers | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-642-59058-0 | | isbn_ebook | 978-3-642-59058-0Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag Berlin Heidelberg 1997 |
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发表于 2025-3-21 18:02:47
