p-adic Numbers 2025 pdf epub mobi 電子書下載

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p-adic Numbers pdf epub mobi 著者簡介

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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 2025 pdf epub mobi 電子書下載

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發表於2025-03-06

p-adic Numbers 2025 pdf epub mobi 電子書下載

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p-adic數理論是一個具有豐富結構的領域，在現代數論中具有基礎地位，還可以為分析與代數提供很多有趣的實例，下麵我們主要討論一下p-adic冪級數。先從有理數域Q開始，對任何有理數x∈Q，它可以錶示為x = p^na/b，這裏p不整除ab，此時定義x的p-adic賦值為v_p（x）= n. 接下來，...

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