Problems in Algebraic Number Theory
(Sprache: Englisch)
Asking how one does mathematical research is like asking how a composer creates a masterpiece. No one really knows. It is clear, however, that problem solving plays an important role in the training of the research mind. In fact, it would not be an...
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Klappentext zu „Problems in Algebraic Number Theory “
Asking how one does mathematical research is like asking how a composer creates a masterpiece. No one really knows. It is clear, however, that problem solving plays an important role in the training of the research mind. In fact, it would not be an exaggeration to say that the ability to do research is essentially the art of asking the 'right' questions. And indeed, the approach taken here is based on the principle that questions focus the mind. This book is a collection of approximately 500 problems in algebraic number theory, systematically arranged to reveal the evolution of concepts and ideas of the subject. Some are easy and straightforward, others difficult. However, they have all been arranged with a didactic purpose in mind and are completely solved. This text is suitable for a first course in algebraic number theory with minimal supervision by the instructor. The exposition also facilitates independent study, however, and any student who has taken a basi c course in calculus, linear algebra and abstract algebra should be able to work through these problems on his/her own.
Inhaltsverzeichnis zu „Problems in Algebraic Number Theory “
Aus dem Inhalt: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
Solutions for Chapters 1 through 10
Bibliographische Angaben
- Autoren: Jody Esmonde , Maruti R. Murty
- 1999, XIV, 314 Seiten, Maße: 24,5 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 0387986170
- ISBN-13: 9780387986173
Sprache:
Englisch
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