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Basic Number Theory

Edition: 
3
Publisher: 
Springer Verlag
Number of Pages: 
315
Price: 
49.95
ISBN: 
3540586555

This is definitely a classic, but it is hardly “Basic.” The very first section includes a proof that there are no finite skew-fields, and the second famously begins by defining the p-adic absolute values in terms of the additive Haar measure on a locally compact topological field.

That out of the way, Weil’s classic exposition of local and global class field theory should certainly be on every young number theorist’s reading list.


 

Date Received: 
Thursday, August 10, 2006
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Andre Weil
Series: 
Classics in Mathematics
Publication Date: 
1995
Format: 
Paperback
Category: 
Textbook
Fernando Q. Gouvêa
07/16/2009
BLL Rating: 

 Elementary Theory: Locally compact fields.- Lattices and duality over local fields.- Places of A-fields.- Adeles.- Algebraic number fields.- The theorem of Riemann-Roch.- Zeta-functions of A-fields.- Traces and norms.- Classfield Theory: Simple algebras.- Simple algebras over local fields.- Simple algebras over A-fields.- Local classfield theory.- Global classfield theory.

Publish Book: 
Modify Date: 
Friday, July 9, 2010

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