| 书目名称 | p-adic Numbers |
| 副标题 | An Introduction |
| 编辑 | Fernando Q. Gouvêa |
| 视频video | |
| 概述 | Written for undergraduate students and beginners.More than 300 exercises, most with hints or solutions.Teaches the use of open source mathematical software in number theory |
| 丛书名称 | Universitext |
| 图书封面 |  |
| 描述 | There are numbers of all kinds: rational, real, complex, .p.-adic, and more. The .p.-adic numbers are not as well known as the others, but they play a fundamental role in number theory and in other parts of mathematics, capturing information related to a chosen prime number .p.. They also allow us to use methods from calculus and analysis to obtain results in algebra and number theory..This book is an elementary introduction to .p.-adic numbers. Most other books on the subject are written for more advanced students; this book provides an entryway to the subject for students with an undergraduate mathematics education. Readers who want to have an idea of and appreciation for the subject will probably find what they need in this book. Readers on the way to becoming experts can begin here before moving on to more advanced texts..This third edition has been thoroughly revised to correct mistakes, make the exposition clearer, and call attention to significant aspects that are usually reserved for advanced books. The most important addition is the integration of mathematical software for computations with .p.-adic numbers and functions. A final chapter includes a selection of problems fo |
| 出版日期 | Textbook 2020Latest edition |
| 关键词 | p-adic analysis; p-adic numbers; local fields; number theory; absolute values on fields; valuations; finit |
| 版次 | 3 |
| doi | https://doi.org/10.1007/978-3-030-47295-5 |
| isbn_softcover | 978-3-030-47294-8 |
| isbn_ebook | 978-3-030-47295-5Series ISSN 0172-5939 Series E-ISSN 2191-6675 |
| issn_series | 0172-5939 |
| copyright | Springer Nature Switzerland AG 2020 |
发表于 2025-3-21 19:19:24
