| 書目名稱 | p-adic Numbers | | 副標題 | An Introduction | | 編輯 | Fernando Q. Gouvêa | | 視頻video | http://file.papertrans.cn/765/764605/764605.mp4 | | 概述 | Includes supplementary material: | | 叢書名稱 | Universitext | | 圖書封面 |  | | 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 | | 關鍵詞 | 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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