书目名称 | Ideals, Varieties, and Algorithms | 副标题 | An Introduction to C | 编辑 | David Cox,John Little,Donal O’Shea | 视频video | | 丛书名称 | Undergraduate Texts in Mathematics | 图书封面 |  | 描述 | We wrote this book to introduce undergraduates to some interesting ideas in algebraic geometry and commutative algebra. Until recently, these topics involved a lot of abstract mathematics and were only taught in graduate school. But in the 1960‘s, Buchberger and Hironaka discovered new algorithms for manipulating systems of polynomial equations. Fueled by the development of computers fast enough to run these algorithms, the last two decades have seen a minor revolution in commutative algebra. The ability to compute efficiently with polynomial equations has made it possible to investigate complicated examples that would be impossible to do by hand, and has changed the practice of much research in algebraic geometry. This has also enhanced the importance of the subject for computer scientists and engineers, who have begun to use these techniques in a whole range of problems. It is our belief that the growing importance of these computational techniques warrants their introduction into the undergraduate (and graduate) mathematics curricu lum. Many undergraduates enjoy the concrete, almost nineteenth century, flavor that a computational emphasis brings to the subject. At the same time | 出版日期 | Textbook 19921st edition | 关键词 | Dimension; Division; Grad; algebraic geometry; algorithms; boundary element method; commutative property; c | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4757-2181-2 | isbn_ebook | 978-1-4757-2181-2Series ISSN 0172-6056 Series E-ISSN 2197-5604 | issn_series | 0172-6056 | copyright | Springer Science+Business Media New York 1992 |
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