| 书目名称 | Ideals, Varieties, and Algorithms | | 副标题 | An Introduction to C | | 编辑 | David A. Cox,John Little,Donal O’Shea | | 视频video | http://file.papertrans.cn/461/460771/460771.mp4 | | 概述 | New edition extensively revised and updated.Covers important topics such as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry and dimension theory.Fourth edition in | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | .This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the elimination theorem, the extension theorem, the closure theorem and the Nullstellensatz—this new edition incorporates several substantial changes, all of which are listed in the Preface. The largest revision incorporates a new Chapter (ten), which presents some of the essentials of progress made over the last decades in computing Gröbner bases. The book also includes current computer algebra material in Appendix C and updated independent projects (Appendix D)..The book may serve as a first or second course in undergraduate abstract algebra and with some supplementation perhaps, for beginning graduate levelcourses in algebraic geometry or computational algebra. Prerequisites for the reader include linear algebra and a proof-oriented course. It is assumed that the reader has access to a computer algebra system. | | 出版日期 | Textbook 2015Latest edition | | 关键词 | CoCoA algebraic geometry; Groebner basis; Hilbert basis theorem; Macaulay2 algebraic geometry; Maple alg | | 版次 | 4 | | doi | https://doi.org/10.1007/978-3-319-16721-3 | | isbn_softcover | 978-3-319-37427-7 | | isbn_ebook | 978-3-319-16721-3Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer International Publishing Switzerland 2015 |
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