Product Description

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 basic course in calculus, linear algebra and abstract algebra should be able to work through these problems on his/her own.

Product Details

• Amazon Sales Rank: #2254510 in Books
• Published on: 1999-02
• Original language: English
• Number of items: 1
• Binding: Hardcover
• 314 pages

Customer Reviews

Entertaining, clear and loads of examples
The easiest way to learn maths is to work through problems, however the less clever of us don't always get everything right first time, and can even be unaware of our mistakes. This book is full of examples and exercises with complete solutions. This makes it ideal for testing whether or not you really understand the subject and enabling you to learn the correct solution if you do not. As well as a large selection of problems it also contains good notes on the subject, making it a self contained study guide. The solutions offered are not always the most elegant, but are easy to understand particularly by someone with only an undergraduate background.