02049cam a22003252 b4500 11837843 BD-DhUL 20161208114144.0 m d cr n 080617e200806uunju s|||||||| 2|eng|d 9783540138853 3540138854 (Trade Paper) USD 39.95 Retail Price (Publisher) (WaSeSS)ssj0000324366 00024965 BIP US WaSeSS BD-DhUL BD-DhUL 510.4 DOC Lectures on Formally Real Fields Lectures on Formally Real Fields / New York : Springer, 2008. Lecture Notes in Mathematics Ser. License restrictions may limit access. Annotation 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. SpringerLink ebooks - Mathematics and Statistics (Archive) SpringerLINK Lecture Notes in Mathematics Archive (Through 1996) http://www.columbia.edu/cgi-bin/cul/resolve?clio11837843.001 Full text available from SpringerLink ebooks - Mathematics and Statistics (Archive) http://www.columbia.edu/cgi-bin/cul/resolve?clio11837843.002 Full text available from SpringerLINK Lecture Notes in Mathematics Archive (Through 1996) Bowker Global Books in Print record ddc BK 132874 132874 0 0 ddc 0 510_400000000000000_DOC 0 NFIC 249623 DUL DUL GEN 2016-12-08 purchased 510.4 DOC A278248 2016-12-08 2016-12-08 BK