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Field name	Details
Dewey Class	512.7
Title	Algebraic Number Theory ([EBook]) / by Jürgen Neukirch.
Author	Neukirch, Jürgen , 1937-1997
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1999.
Physical Details	XVII, 574 pages : online resource.
Series	Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 0072-7830 ; ; 322
ISBN	9783662039830
Summary Note	"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 Z.blatt f. Math., 1992 "The author's enthusiasm for this topic is rarely as evident for the reader as in this book. - A good book, a beautiful book." F. Lorenz in Jber. DMV 1995 "The present work is written in a very careful and masterly fashion. It does not show the pains that it must have caused even an expert like Neukirch. It undoubtedly is liable to become a classic; the more so as recent developments have been taken into account which will not be outdated quickly. Not only must it be missing from the library of no number theorist, but it can simply be recommended to every mathematician who wants to get an idea of modern arithmetic." J. Schoissengeier in Montatshefte Mathematik 1994.:
Contents note	I: Algebraic Integers -- II: The Theory of Valuations -- III: Riemann-Roch Theory -- IV: Abstract Class Field Theory -- V: Local Class Field Theory -- VI: Global Class Field Theory -- VII: Zeta Functions and L-series.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-03983-0
Links to Related Works	Subject References: Algebraic number theory . Mathematics . Number Theory . Authors: Neukirch, Jürgen 1937-1997 . Corporate Authors: SpringerLink (Online service) . Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics . Classification: 512.7 .

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Algebraic Number Theory

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