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Titlebook: p-adic Numbers; An Introduction Fernando Q. Gouvêa Textbook 19931st edition Springer-Verlag Berlin Heidelberg 1993 Rack.calculus.completion

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发表于 2025-3-21 17:54:14 | 显示全部楼层 |阅读模式
书目名称p-adic Numbers
副标题An Introduction
编辑Fernando Q. Gouvêa
视频video
丛书名称Universitext
图书封面Titlebook: p-adic Numbers; An Introduction Fernando Q. Gouvêa Textbook 19931st edition Springer-Verlag Berlin Heidelberg 1993 Rack.calculus.completion
描述p-adic numbers are of great theoretical importance in numbertheory, sincethey allow the use of the language of analysisto study problems relating toprime numbers and diophantineequations. Further, they offer a realm whereone can dothings that are very similar to classical analysis, butwith results that are quite unusual. The book should be ofuse to students interested in number theory, but at the sametime offers an interesting example of the many connectionsbetween different parts ofmathematics.The book strives to be understandable to anundergraduateaudience. Very little background has been assumed, andthepresentation is leisurely. There are many problems, whichshouldhelp readers who are working on their own (a largeappendix with hints on the problem is included).Most of all, the book should offer undergraduates exposureto some interesting mathematics which is off the beatentrack. Those who will later specialize in number theory,algebraic geometry, and related subjects will benefit moredirectly, but all mathematics students can enjoy the book.
出版日期Textbook 19931st edition
关键词Rack; calculus; completions; diophantine equation; diophantine equations; equation; local fields; mathemati
版次1
doihttps://doi.org/10.1007/978-3-662-22278-2
isbn_ebook978-3-662-22278-2Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag Berlin Heidelberg 1993
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Springer-Verlag Berlin Heidelberg 1993
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p-adic Numbers978-3-662-22278-2Series ISSN 0172-5939 Series E-ISSN 2191-6675
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Foundations,ce a different absolute value function on the field of rational numbers. This will give us a different way to measure distances, hence a different calculus. Once we have that, we will use it (in Chapter 3) to construct the .-adic numbers.
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,Analysis in ℂ,,valuation to polynomials and power series. This will yield a norm on the spaces of polynomials and of power series, which will prove to be an important tool. We then go on to proving the main theorems themselves.
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0172-5939 ating toprime numbers and diophantineequations. Further, they offer a realm whereone can dothings that are very similar to classical analysis, butwith results that are quite unusual. The book should be ofuse to students interested in number theory, but at the sametime offers an interesting example o
发表于 2025-3-23 07:13:02 | 显示全部楼层
Textbook 19931st editionime numbers and diophantineequations. Further, they offer a realm whereone can dothings that are very similar to classical analysis, butwith results that are quite unusual. The book should be ofuse to students interested in number theory, but at the sametime offers an interesting example of the many
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