Overview

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 fur Mathematik, 1992

Full Product Details

Author:   Jürgen Neukirch ,  Norbert Schappacher ,  Norbert Schappacher
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Volume:   322
Dimensions:   Width: 15.50cm , Height: 3.50cm , Length: 23.50cm
Weight:   1.051kg
ISBN:  

9783540653998

ISBN 10:   3540653996
Pages:   574
Publication Date:   21 May 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Reviews

From the review: <p> 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 fA1/4r Mathematik, 1992 <p> The book under review is the faithful and unabridged reprint of the original edition of J. Neukircha (TM)s excellent textbook on modern algebraic number theory a ] . this unique classic in algebraic number theory is certainly of the highest advantage for new generations of students, teachers, and researchers in German-speaking mathematical communities, and therefore more than welcome. a ] it will remain as one of the valuables in the legacy of an outstanding researcher and teacher in algebraic number theory forever. (Werner Kleinert, Zentralblatt MATH, Vol. 1131 (9), 2008)

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