書(shū)目名稱 | Computations in Algebraic Geometry with Macaulay 2 |
編輯 | David Eisenbud,Michael Stillman,Bernd Sturmfels |
視頻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: |
叢書(shū)名稱 | Algorithms and Computation in Mathematics |
圖書(shū)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 |
關(guān)鍵詞 | 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 |