This second edition is a corrected and extended version of the
first. It is a textbook for students, as well as a reference book
for the working mathematician, on cohomological topics in number
theory. In all it is a virtually complete treatment of a vast array
of central topics in algebraic number theory. New material is
introduced here on duality theorems for unramified and tamely
ramified extensions as well as a careful analysis of 2-extensions
of real number fields.
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