书目名称 | Number Theory | 副标题 | An Introduction to M | 编辑 | William A. Coppel | 视频video | | 概述 | A treasury of proofs containing mainly carefully chosen proofs, several of which are gems seldom seen in number theory books.Covers standard topics in number theory but also places the whole subject i | 图书封面 |  | 描述 | Undergraduate courses in mathematics are colnmonly of two types. On the one hand there are courses in subjects, such as linear algebra or real analysis, with which it is considered that every student of mathematics should be acquainted. On the other hand there are courses given by lecturers in their own areas of specialization, which are intended to sellre as a prepasation for research. There ase, I believe, several reasons why students need more than this. Fhst, although the vast extent of mathematics today makes it impossible for any indvidual to have a deep knowledge of more than a small part, it is important to have some understanding and appreciation of the work of others. Indeed the sometimes su~prising intei-relationships and analogies between different branches of mathematics are both the basis for many of its applications and the stimulus for further development. Secondly, different branches of mathematics appeal in different ways and require different talents. It is unlikely that all students at one university will have the same interests and aptitudes as their lecturers. Rather, they will only discover what their own interests and aptitudes are by being exposed to a broa | 出版日期 | Textbook 20061st edition | 关键词 | Congruent; Integer; Prime; linear algebra; number theory; p-adic; matrix theory | 版次 | 1 | doi | https://doi.org/10.1007/0-387-29852-5 | isbn_ebook | 978-0-387-29852-8 | copyright | Springer-Verlag US 2006 |
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