Problems in algebraic number theory
著者
書誌事項
Problems in algebraic number theory
(Graduate texts in mathematics, 190)
Springer, c2005
2nd ed
- : softcover
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注記
"c2005 Springer Science+Business Media, Inc. Softcover reprint of the hardcover 2nd edition 2005" -- T.p. verso of softcover
Includes bibliographical references (p. 347-348) and index
内容説明・目次
内容説明
The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject
Includes various levels of problems - some are easy and straightforward, while others are more challenging
All problems are elegantly solved
目次
Problems.- Elementary Number Theory.- Euclidean Rings.- Algebraic Numbers and Integers.- Integral Bases.- Dedekind Domains.- The Ideal Class Group.- Quadratic Reciprocity.- The Structure of Units.- Higher Reciprocity Laws.- Analytic Methods.- Density Theorems.- Solutions.- Elementary Number Theory.- Euclidean Rings.- Algebraic Numbers and Integers.- Integral Bases.- Dedekind Domains.- The Ideal Class Group.- Quadratic Reciprocity.- The Structure of Units.- Higher Reciprocity Laws.- Analytic Methods.- Density Theorems.
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