Problems in Algebraic Number Theory

Problems in Algebraic Number Theory pdf epub mobi txt 电子书 下载 2025

出版者:Springer
作者:Jody Esmonde
出品人:
页数:352
译者:
出版时间:2004-10
价格:USD 59.95
装帧:Hardcover
isbn号码:9780387221823
丛书系列:Graduate Texts in Mathematics
图书标签:
  • Mathematics 
  • 解题 
  • 数论 
  • 数学 
  • 代数数论7 
  • 代数数论 
  • number_theory 
  • exercise_book 
  •  
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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.

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