Problems in algebraic number theory
 Author/Creator
 Murty, Maruti Ram.
 Language
 English.
 Edition
 2nd ed.
 Imprint
 New York : Springer, c2005.
 Physical description
 xvi, 352 p. ; 25 cm.
 Series
 Graduate texts in mathematics 190.
Access
Available online
 www.springerlink.com SpringerLink
 www.myilibrary.com MyiLibrary
 site.ebrary.com ebrary

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QA247 .E76 2005

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Contributors
 Contributor
 Esmonde, Jody.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 347348) and index.
 Contents

 Preface to the Second Edition. Preface to the First Edition. Acknowledgments. 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 for Chapters 1 through 11. Bibliography. Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 Asking how one does mathematical research is like asking how a composer creates a masterpiece. No one really knows. However, it is a recognized fact that problem solving plays an important role in training the mind of a researcher. It would not be an exaggeration to say that the ability to do mathematical research lies essentially asking 'wellposed' questions. The approach taken by the authors in "Problems in Algebraic Number Theory" is based on the principle that questions focus and orient the mind. The book is a collection of about 500 problems in algebraic number theory, systematically arranged to reveal ideas and concepts in the evolution of the subject. While some problems are easy and straightforward, others are more difficult. For this new edition the authors added a chapter and revised several sections. The text is suitable for a first course in algebraic number theory with minimal supervision by the instructor.The exposition facilitates independent study, and students having taken a basic course in calculus, linear algebra, and abstract algebra will find these problems interesting and challenging. For the same reasons, it is ideal for nonspecialists in acquiring a quick introduction to the subject.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2005
 Responsibility
 M. Ram Murty, Jody Esmonde.
 Series
 Graduate texts in mathematics ; 190
 Note
 Esmonde's name appears first on the earlier edition.
 ISBN
 0387221824 (alk. paper)
 9780387221823 (alk. paper)