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Valued Fields (Paperback, Softcover reprint of hardcover 1st ed. 2005) Loot Price: R4,314
Discovery Miles 43 140
Valued Fields (Paperback, Softcover reprint of hardcover 1st ed. 2005): Antonio J. Engler, Alexander Prestel

Valued Fields (Paperback, Softcover reprint of hardcover 1st ed. 2005)

Antonio J. Engler, Alexander Prestel

Series: Springer Monographs in Mathematics

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Loot Price R4,314 Discovery Miles 43 140 | Repayment Terms: R404 pm x 12*

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Absolute values and their completions -like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. In valuation theory, the notion of a completion has to be replaced by that of the so-called Henselization.

In this book, the theory of valuations as well as of Henselizations is developed. The presentation is based on the knowledge acquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -for instance to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values alone.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Springer Monographs in Mathematics
Release date: October 2010
First published: 2005
Authors: Antonio J. Engler • Alexander Prestel
Dimensions: 235 x 155 x 17mm (L x W x T)
Format: Paperback
Pages: 208
Edition: Softcover reprint of hardcover 1st ed. 2005
ISBN-13: 978-3-642-06345-9
Categories: Books > Science & Mathematics > Mathematics > Mathematical foundations > General
Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
Books > Science & Mathematics > Mathematics > Number theory > General
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LSN: 3-642-06345-4
Barcode: 9783642063459

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