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

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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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哪有黃油

subacute

investigate

,Analysis in ?,,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

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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