Gröbner bases and applications
Gröbner bases and applications
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DOI：
10.1017/cbo9780511565847
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
B. Buchberger;F. Winkler
中科院分区：
文献类型：
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作者：
B. Buchberger;F. Winkler
由Bruno Buchberger发明的Gröbner基理论是一种通用的方法，它可以用结构简单的算法来解决数学和工程各个分支中的许多基本问题。这种方法现在可以在所有主要的数学软件系统中使用。这本书对Gröbner基的理论及其应用提供了一个简短且易于阅读的描述。它分为两部分，第一部分由辅导课程组成，从一般介绍开始。然后，这个主题被进一步发展成12个教程，由领先的专家撰写，内容是格罗布纳基在不同数学领域的应用。第二部分是关于Gröbner基的原创性研究论文17篇。附录载有布鲁诺·布赫伯格介绍格罗布纳基地的德语原文的英译本。
The theory of Gröbner bases, invented by Bruno Buchberger, is a general method by which many fundamental problems in various branches of mathematics and engineering can be solved by structurally simple algorithms. The method is now available in all major mathematical software systems. This book provides a short and easy-to-read account of the theory of Gröbner bases and its applications. It is in two parts, the first consisting of tutorial lectures, beginning with a general introduction. The subject is then developed in a further twelve tutorials, written by leading experts, on the application of Gröbner bases in various fields of mathematics. In the second part there are seventeen original research papers on Gröbner bases. An appendix contains the English translations of the original German papers of Bruno Buchberger in which Gröbner bases were introduced.