Overview

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 ""well-posed"" 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 non-specialists in acquiring a quick introduction to the subject.

Full Product Details

Author:   M. Ram Murty ,  Jody (Indigo) Esmonde
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2nd ed. 2005
Volume:   190
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   1.570kg
ISBN:  

9780387221823

ISBN 10:   0387221824
Pages:   352
Publication Date:   25 October 2004
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
We will order this item for you from a manufatured on demand supplier.

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Reviews

Aus den Rezensionen zur 2. Auflage: 'Learning by doing' ist das Motto dieses Lehrbuchs, das eine Einfuhrung in die algebraische Zahlentheorie bietet ! Der gebotene Stoff ! wird durch etwa 500 Ubungen erganzt, die den ! Leser zum selbststandigen Erarbeiten der algebraischen Zahlentheorie anregen sollen. ! Dieses Buch kann sowohl als Begleitbuch fur eine entsprechende Lehrveranstaltung als auch zum Selbststudium fur 'Einsteiger' in die algebraische Zahlentheorie empfohlen werden. (Gunter Lettl, in: IMN - Internationale Mathematische Nachrichten, 2006, Issue 202, S. 42)

From the reviews of the second edition: <p> Problems in Algebraic Number Theory is intended to be used by the students for independent study of the subject. It provides the reader with a large collection of problems (about 500) a ] . The reviewer thinks that the authors have done a fantastic job choosing the problems, which are perfectly arranged so the students can progressively move from topic to topic a ] . the book is an excellent resource for the instructor and the student as a companion to any algebraic number theory course. (Alvaro Lozano-Robledo, MathDL, May, 2005) <p> This second edition is an expanded and revised version of the first edition. In particular, it contains an extra chapter on density theorems and L-Functions highlighting some of the analytic aspects of algebraic number theory. a ] the reviewer is certain that many students will benefit from this pathway into the fascinating realm of algebraic number theory. (Zentralblatt fA1/4r Didaktik der Mathematik, August, 2005) <p> This is the second edition of Problems in algebraic number theory. ... errors have been corrected a ] . The decision to expand the book by including a chapter on density theorems is most welcome. (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1055) <p> This is the second edition of an unusual introduction to algebraic number theory. a ] each chapter is written in straightforward textbook style. All chapters contain a very large number of problems. a ] it presents a good way of acquiring a working knowledge of basic algebraic number theory by using it for independent study or as supplementary reading. (Ch. Baxa, Monatshefte fA1/4r Mathematik, Vol. 149 (4), 2006)

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