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:   Softcover reprint of hardcover 2nd ed. 2005
Volume:   190
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.569kg
ISBN:  

9781441919670

ISBN 10:   1441919678
Pages:   352
Publication Date:   19 November 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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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)

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 Aubungen 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)

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