p-adic Numbers pdf epub mobi txt 电子书下载 2024

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Fernando Q. Gouvea

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

1993-10

288

GBP 23.00

Paperback

universitext

9783540568445

图书标签: adic 初等数论7 分析 padic分析 p Numbers Mathematics 数论

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发表于2024-05-10

p-adic Numbers epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

p-adic Numbers pdf epub mobi txt 电子书下载 2024

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p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating to prime numbers and diophantine equations. Further, they offer a realm where one can do things that are very similar to classical analysis, but with results that are quite unusual. The book should be of use to students interested in number theory, but at the same time offers an interesting example of the many connections between different parts of mathematics. The book strives to be understandable to an undergraduate audience. Very little background has been assumed, and the presentation is leisurely. There are many problems, which should help readers who are working on their own (a large appendix with hints on the problem is included). Most of all, the book should offer undergraduates exposure to some interesting mathematics. Those who will later specialize in number theory, algebraic geometry and related subjects will benefit more directly, but all mathematics students can enjoy the book.

p-adic Numbers 下载 mobi epub pdf txt 电子书

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p-adic Numbers pdf epub mobi txt 电子书下载

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用户评价

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读的是世图第二版影印本，此书展示了分析与数论之间的交叉地带，对p-adic理论基础做了比较全面的讨论，真的就是以讨论的方式叙述的，是本科水平就可以阅读的趣味性很高的小册子哈~

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读后感

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p-adic数理论是一个具有丰富结构的领域，在现代数论中具有基础地位，还可以为分析与代数提供很多有趣的实例，下面我们主要讨论一下p-adic幂级数。先从有理数域Q开始，对任何有理数x∈Q，它可以表示为x = p^na/b，这里p不整除ab，此时定义x的p-adic赋值为v_p（x）= n. 接下来，...

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