书目名称 | Computations in Algebraic Geometry with Macaulay 2 |
编辑 | David Eisenbud,Michael Stillman,Bernd Sturmfels |
视频video | http://file.papertrans.cn/234/233266/233266.mp4 |
概述 | Only textbook using Macaulay as a tool.Computational algebraic geometry presented in the optimal way by top researchers.Includes supplementary material: |
丛书名称 | Algorithms and Computation in Mathematics |
图书封面 |  |
描述 | Systems of polynomial equations arise throughout mathematics, science, and engineering. Algebraic geometry provides powerful theoretical techniques for studying the qualitative and quantitative features of their solution sets. Re cently developed algorithms have made theoretical aspects of the subject accessible to a broad range of mathematicians and scientists. The algorith mic approach to the subject has two principal aims: developing new tools for research within mathematics, and providing new tools for modeling and solv ing problems that arise in the sciences and engineering. A healthy synergy emerges, as new theorems yield new algorithms and emerging applications lead to new theoretical questions. This book presents algorithmic tools for algebraic geometry and experi mental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out. Macaulay 2 is a computer algebra system devoted to supporting research in algebraic geometry, commutative algebra, and their applications. The reader of this book will encounter Macaulay 2 in the context of concrete applications and practical computations |
出版日期 | Textbook 2002 |
关键词 | Groebner bases; algebraic geometry; algorithms; commutative algebra; computer algebra system; symbolic al |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-662-04851-1 |
isbn_softcover | 978-3-642-07592-6 |
isbn_ebook | 978-3-662-04851-1Series ISSN 1431-1550 |
issn_series | 1431-1550 |
copyright | Springer-Verlag Berlin Heidelberg 2002 |