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From the reviews of the second edition:

"The publication of a second edition gives me a chance to … emphasize what an important book it is. … the book a necessary part of the number theorist’s library. That it’s also well written, clear, and systematic is a very welcome bonus. … There are many goodies here … . it is an indispensable book for anyone working in number theory. … Neukirch, Schmidt, and Wingberg have, in fact, produced … authoritative, complete, careful, and sure to be a reliable reference for many years." (Fernando Q. Gouvêa, MathDL, May, 2008)

"The second edition will continue to serve as a very helpful and up-to-date reference in cohomology of profinite groups and algebraic number theory, and all the additions are interesting and useful. … the book is fine as it is: systematic, very comprehensive, and well-organised. This second edition will be a standard reference from the outset, continuing the success of the first one." (Cornelius Greither, Zentralblatt MATH, Vol. 1136 (14), 2008)

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