书目名称 | Mathematics for Computer Algebra | 编辑 | Maurice Mignotte | 视频video | | 图书封面 |  | 描述 | This book corresponds to a mathematical course given in 1986/87 at the University Louis Pasteur, Strasbourg. This work is primarily intended for graduate students. The following are necessary prerequisites : a few standard definitions in set theory, the definition of rational integers, some elementary facts in Combinatorics (maybe only Newton‘s binomial formula), some theorems of Analysis at the level of high schools, and some elementary Algebra (basic results about groups, rings, fields and linear algebra). An important place is given to exercises. These exercises are only rarely direct applications of the course. More often, they constitute complements to the text. Mostly, hints or references are given so that the reader should be able to find solutions. Chapters one and two deal with elementary results of Number Theory, for example : the euclidean algorithm, the Chinese remainder theorem and Fermat‘s little theorem. These results are useful by themselves, but they also constitute a concrete introduction to some notions in abstract algebra (for example, euclidean rings, principal rings ... ). Algorithms are given for arithmetical operations with long integers. The rest of the boo | 出版日期 | Textbook 1992 | 关键词 | Mathematica; algorithms; computer algebra; mathematics; set theory | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4613-9171-5 | isbn_softcover | 978-1-4613-9173-9 | isbn_ebook | 978-1-4613-9171-5 | copyright | Springer-Verlag New York, Inc. 1992 |
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