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Titlebook: Algebraic Number Theory; Jürgen Neukirch Book 1999 The Editor(s) (if applicable) and The Author(s) 1999 Algebraic Number Theory.Arithmetic

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发表于 2025-3-21 18:27:51 | 显示全部楼层 |阅读模式
期刊全称Algebraic Number Theory
影响因子2023Jürgen Neukirch
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发行地址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: Deutsche Mathematiker Vereinigung, 1995.Includes supplementa
学科分类Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Algebraic Number Theory;  Jürgen Neukirch Book 1999 The Editor(s) (if applicable) and The Author(s) 1999 Algebraic Number Theory.Arithmetic
影响因子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
Pindex Book 1999
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Abstract Class Field Theory,nsion will have infinite degree. It does, however, have the advantage of collecting all finite Galois extensions of .. This is why it is reasonable to try to give it a prominent place in Galois theory. But such an attempt faces the difficulty that the main theorem of Galois theory does not remain tr
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Global Class Field Theory,. The notion of idèle is a modification of the notion of ideal. It was introduced by the French mathematician . (1909–1984) with a view to providing a suitable basis for the important local-to-global principle, i.e., for the principle which reduces problems concerning a number field . to analogous p
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George Younger, January 1986-July 1989, try to give it a prominent place in Galois theory. But such an attempt faces the difficulty that the main theorem of Galois theory does not remain true for infinite extensions. Let us explain this in the following
发表于 2025-3-23 08:53:34 | 显示全部楼层
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