Problems in algebraic number theory

書誌事項

Problems in algebraic number theory

M. Ram Murty, Jody Esmonde

(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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