Problems in Algebraic Number Theory

 Book
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ISBN-13:
9780387221823
Einband:
Book
Erscheinungsdatum:
25.10.2004
Seiten:
380
Autor:
Jody (Indigo) Esmonde
Gewicht:
730 g
Format:
235x155x26 mm
Sprache:
Englisch
Beschreibung:

This book is a collection of about 500 problems in algebraic number theory. They are systematically arranged to reveal the evolution of
concepts and ideas of the subject. All of the problems are completely
solved. Any student with the usual background of undergraduate algebra
should be able to work through these problems on his/her own. For this
new edition the authors added a new chapter and revised several
sections.
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.
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

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