书目名称 | Problems in Algebraic Number Theory |
编辑 | M. Ram Murty,Jody Esmonde |
视频video | |
概述 | Theory is quickly translated into experience with the problem-solving approach. The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject. Includes various |
丛书名称 | Graduate Texts in Mathematics |
图书封面 |  |
描述 | 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 i |
出版日期 | Textbook 2005Latest edition |
关键词 | algebra; algebraic number theory; calculus; linear algebra; number theory |
版次 | 2 |
doi | https://doi.org/10.1007/b138452 |
isbn_softcover | 978-1-4419-1967-0 |
isbn_ebook | 978-0-387-26998-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
issn_series | 0072-5285 |
copyright | Springer-Verlag New York 2005 |