Cohomology of Number Fields
2nd Edition
Published on 18. February 2008
Book
Hardback
XV, 826 pages
978-3-540-37888-4 (ISBN)
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.
Reviews / Votes
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. Gouvea, 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)More details
Product info
Book
Series
Edition
2nd ed.
Language
English
Place of publication
Berlin, Heidelberg
Germany
Target group
Research
Edition type
New edition
Illustrations
biography
Dimensions
Height: 244 mm
Width: 167 mm
Thickness: 50 mm
Weight
1358 gr
ISBN-13
978-3-540-37888-4 (9783540378884)
DOI
10.1007/978-3-540-37889-1
Schweitzer Classification
Other editions
Additional editions
Jürgen Neukirch | Alexander Schmidt | Kay Wingberg
Cohomology of Number Fields
Book
08/2016
2nd Edition
Springer
€213.99
Shipment within 7-9 days
Jürgen Neukirch | Alexander Schmidt | Kay Wingberg
Cohomology of Number Fields
E-Book
09/2013
2nd Edition
Springer
€213.99
Available for download
Previous edition
Jürgen Neukirch | Alexander Schmidt | Kay Wingberg
Cohomology of Number Fields
Book
12/1999
Springer
€117.65
Article exhausted; check for reprint
Content
Part I Algebraic Theory: Cohomology of Profinite Groups.- Some Homological Algebra.- Duality Properties of Profinite Groups.- Free Products of Profinite Groups.- Iwasawa Modules.- Part II Arithmetic Theory: Galois Cohomology.- Cohomology of Local Fields.- Cohomology of Global Fields.- The Absolute Galois Group of a Global Field.- Restricted Ramification.- Iwasawa Theory of Number Fields.- Anabelian Geometry.- Literature.- Index.