Algebraic Number Theory (Grundlehren der mathematischen Wissenschaften) | 
 enlarge | Author: Juergen Neukirch
Creator: Norbert Schappacher
Publisher: Springer
Category: Book
List Price: $169.00
Buy New: $125.49
You Save: $43.51 (26%)
New (15) Used (7) from $90.00
Rating:  2 reviews
Sales Rank: 530942
Media: Hardcover
Edition: 1
Pages: 571
Number Of Items: 1
Shipping Weight (lbs): 2.3
Dimensions (in): 9.5 x 6.2 x 1.1
ISBN: 3540653996
Dewey Decimal Number: 512.74
EAN: 9783540653998
Publication Date: June 22, 1999
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Product Description
From the review: "The present book has as its aim to resolve a discrepancy in the textbook literature and ... to provide a comprehensive introduction to algebraic number theory which is largely based on the modern, unifying conception of (one-dimensional) arithmetic algebraic geometry. ... Despite this exacting program, the book remains an introduction to algebraic number theory for the beginner... The author discusses the classical concepts from the viewpoint of Arakelov theory.... The treatment of class field theory is ... particularly rich in illustrating complements, hints for further study, and concrete examples.... The concluding chapter VII on zeta-functions and L-series is another outstanding advantage of the present textbook.... The book is, without any doubt, the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available."
W. Kleinert in: Zentralblatt fuer Mathematik, 1992
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| Customer Reviews:
10 stars if I could. July 23, 2003
Jason Schorn (Spokane, WA)
9 out of 10 found this review helpful
After having no fun with Lang's text "Algebraic Number Theory" I began seking out something more complete and which was full of quality exposition. As a result of Amazon's approach to marketing towards members, I was recommended this book and decided quickly that I must have it. This book is marvelously well written, examples are kept to an un-overwhelming minimum, the problems are not trivial (at least to me) and in fact I feel this is the kind of book on par with, say, Paulo Ribenboim's "Classical Theory of Algebraic Numbers" since these are both the type of book you would want to take with you on a long trip or as Paulo says, "while stranded on a desert island". This book is by no means intended for those who are not fluent in both Number Theory as well as Algebra, both at the graduate level and obviously for those who are Mahematically gifted. I highly recommend this book to graduate students interested in Algebraic number theory as well as those needing a splendid reference.
One of the most beautifully written math books March 22, 2006
DaddyRead.com (New York)
5 out of 6 found this review helpful
This book is basically all you need to learn modern algebraic number theory. You need to know algebra at a graduate level (Serge Lang's Algebra) and I would recommend first reading an elementary classical Algebraic number theory book like Ian Stewart's Algebraic Number Theory, or Murty and Esmonde's Problem's in Algebraic Number theory.
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