Lectures on Formally Real Fields, Paperback by Prestel, A., Brand New, Free s...

$ 24.5

Language: English Subject Area: Mathematics Subject: Algebra / Abstract, General, Algebra / General, Logic Item Weight: 16.6 Oz Item Width: 6.1 in ISBN: 9783540138853 Series: Lecture Notes in Mathematics Ser. Type: Textbook Author: A. Prestel Publication Name: Lectures on Formally Real Fields Format: Trade Paperback Book Title: Lectures on Formally Real Fields Publisher: Springer Berlin / Heidelberg Publication Year: 1984 width: 6.1 in Number of Pages: Xi, 128 Pages Item Length: 9.3 in

Description

Lectures on Formally Real Fields, Paperback by Prestel, A., Brand New, Free s.... Lectures on Formally Real Fields, Paperback by Prestel, A., ISBN 3540138854, ISBN-13 9783540138853, Brand New, Free shipping in the US 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 aquired in a standard graduate course in algebra. The last chapter presents three applications of the general theory -as to Artin's Conjecture on the p-adic number fields- that could not be obtained by the use of absolute values only.