Solving Polynomial Equation Systems II 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Mora, Teo 作者

Cambridge Univ Pr

译者

2005-5 出版日期

784 页数

$ 275.72 价格

HRD

丛书系列

9780521811569 图书编码

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Solving Polynomial Equation Systems II 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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The second volume of this comprehensive treatise focusses on Buchberger theory and its application to the algorithmic view of commutative algebra. In distinction to other works, the presentation here is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in issues of implementation. The same language describes the applications of Groebner technology to the central problems of commutative algebra. The book can be also used as a reference on elementary ideal theory and a source for the state-of-the-art in its algorithmization. Aiming to provide a complete survey on Groebner bases and their applications, the author also includes advanced aspects of Buchberger theory, such as the complexity of the algorithm, Galligo's theorem, the optimality of degrevlex, the Gianni-Kalkbrener theorem, the FGLM algorithm, and so on. Thus it will be essential for all workers in commutative algebra, computational algebra and algebraic geometry.

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