- Hardcover: 825 pages
- Publisher: Springer; 2nd ed. edition (18 Feb 2008)
- Language English
- ISBN-10: 354037888X
- ISBN-13: 978-3540378884
- Product Dimensions: 24.1 x 16.3 x 3.6 cm
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Amazon Bestsellers Rank:
660,549 in Books (See Top 100 in Books)
- #65 in Books > Science & Nature > Mathematics > Algebra > Abstract
- #79 in Books > Science & Nature > Mathematics > Algebra > Groups & Group Theory
- #86 in Books > Science & Nature > Mathematics > Geometry & Topology > Algebraic Geometry
- See Complete Table of Contents
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Product Description
Review
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)
Product Description
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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First Sentence
Profinite groups are topological groups which naturally occur in algebraic number theory as Galois groups of infinite field extensions or more generally as étale fundamental groups of schemes. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
Profinite groups are topological groups which naturally occur in algebraic number theory as Galois groups of infinite field extensions or more generally as étale fundamental groups of schemes. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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