Algebraic Number Theory - Jürgen Neukirch

Algebraic Number Theory

Buch | Softcover
XVII, 574 Seiten
2010 | 1. Softcover reprint of hardcover 1st ed. 1999
Springer Berlin (Verlag)
978-3-642-08473-7 (ISBN)
160,49 inkl. MwSt
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 für Mathematik, 1992

Dr. Jürgen Neukirch, lehrt am Fachbereich Mathematik der Universität Regensburg.

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.

hful and unabridged reprint of the original edition of J. Neukirch's excellent textbook on modern algebraic number theory ... . 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. ... 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)

Erscheint lt. Verlag 15.12.2010
Reihe/Serie Grundlehren der mathematischen Wissenschaften
Übersetzer Norbert Schappacher
Zusatzinfo XVII, 574 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 874 g
Themenwelt Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Schlagworte Algebra • algebraic number theory • Arithmetic Algebraic Geometry • File available at Lightning Source • Number Theory
ISBN-10 3-642-08473-7 / 3642084737
ISBN-13 978-3-642-08473-7 / 9783642084737
Zustand Neuware
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