Absolute values and their completions - such as the p-adic number fields - play an important role in number theory. In valuation theory, the notion of a complet... » 

Absolute values and their completions - such as the p-adic number fields - play an important role in number theory. In valuation theory, the notion of a completion has to be replaced by that of Henselization. This book develops the theory of valuations as well as of Henselizations. «