使饥饿 发表于 2025-3-23 10:45:44

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Myocyte 发表于 2025-3-23 16:55:45

,Apéritif,t arise merely from some desire to generalize, but rather from several concrete situations involving problems from algebra and number theory. The new “metrics” on ℚ will be each connected to a certain prime, and they will “codify” a great deal of arithmetic information related to that prime. The goa

小歌剧 发表于 2025-3-23 22:01:42

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ANTIC 发表于 2025-3-23 22:36:27

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obviate 发表于 2025-3-24 04:25:46

,Elementary Analysis in ℚ,,d it is complete with respect to the metric given by that absolute value. In fact, the similarities go deeper: ℝ and the various ℚ., are completions of ℚ, hence contain ℚ as a dense subset; they are all locally compact; none of them are algebraically closed.

Offbeat 发表于 2025-3-24 07:05:25

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性学院 发表于 2025-3-24 13:39:28

,Analysis in ℂ,,his book, we try to touch on a few remarkable points: the theory of Newton polygons, the .-adic Weierstrass Preparation Theorem, the description of entire functions. As usual, the first step is to re-appropriate all the results we obtained earlier. We then go on to consider how to extend the .-adic

VEN 发表于 2025-3-24 16:29:54

Introduction,rners of mathematics. The goal of this book is to offer such an opportunity, by way of a visit to the .-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.

Rejuvenate 发表于 2025-3-24 20:58:08

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sorbitol 发表于 2025-3-25 02:44:22

0172-5939 ck. Those who will later specialize in number theory,algebraic geometry, and related subjects will benefit moredirectly, but all mathematics students can enjoy the book.978-3-662-22278-2Series ISSN 0172-5939 Series E-ISSN 2191-6675
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查看完整版本: Titlebook: p-adic Numbers; An Introduction Fernando Q. Gouvêa Textbook 19931st edition Springer-Verlag Berlin Heidelberg 1993 Rack.calculus.completion