01942cam a22002892 b450000100090000000300080000900500170001700600190003400700150005300800410006802000180010902000650012703500260019203700130021804000370023108200150026821000370028324500390032026000340035944000380039350600430043152007400047477300630121477300690127785601500134685601560149611837843BD-DhUL20161208114144.0m        d        cr  n         080617e200806uunju     s|||||||| 2|eng|d  a9783540138853  a3540138854 (Trade Paper)cUSD 39.95 Retail Price (Publisher)  a(WaSeSS)ssj0000324366  b00024965  aBIP USdWaSeSSdBD-DhULcBD-DhUL  a510.4bDOC10aLectures on Formally Real Fields00aLectures on Formally Real Fields /  aNew York : bSpringer,c2008. 0aLecture Notes in Mathematics Ser.  aLicense restrictions may limit access.8 aAnnotationbAbsolute 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. 0tSpringerLink ebooks - Mathematics and Statistics (Archive) 0tSpringerLINK Lecture Notes in Mathematics Archive (Through 1996)40uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio11837843.001zFull text available from SpringerLink ebooks - Mathematics and Statistics (Archive)40uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio11837843.002zFull text available from SpringerLINK Lecture Notes in Mathematics Archive (Through 1996)