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Algebraic number theory

By: Contributor(s): Material type: TextTextLanguage: ENG Series: Grundlehren der mathematischen wissenschaften ; Vol. 322 | A Series of Comprehensive Studies in MathematicsPublication details: Berlin: Springer-Verlag; c1999.Description: xvii, 571p. : ill. ; 24cmISBN:
  • 9783642084737 (pbk.)
Subject(s): DDC classification:
  • 512.74 NEU 23rd
Summary: 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
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Item type Current library Call number Status Notes Barcode
Books Books Vigyanpuri Campus 512.74 NEU/A (Browse shelf(Opens below)) Available Acquired through NBHM Library Grant 2023-2024. 006404

Includes bibliographical references and subject index.

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

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