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duxiu/initial_release/40047815.zip
理想数、簇与算法:2版 🔍
Cox,D.等著, David Cox John Little, Donal O’Shea, ( )David Cox等著, X Co, David A Cox 北京/西安:世界图书出版公司, 2004, 2004
英语 [en] · 中文 [zh] · PDF · 18.5MB · 2004 · 📗 未知类型的图书 · 🚀/duxiu/zlibzh · Save
描述
Algebraic Geometry is the study of systems of polynomial equations in one or more variables, asking such questions as: Does the system have finitely many solutions, and if so how can one find them? And if there are infinitely many solutions, how can they be described and manipulated? The solutions of a system of polynomial equations form a geometric object called a variety; the corresponding algebraic object is an ideal. There is a close relationship between ideals and varieties which reveals the intimate link between algebra and geometry. Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. The algorithms to answer questions such as those posed above are an important part of algebraic geometry. This book bases its discussion of algorithms on a generalization of the division algorithm for polynomials in one variable that was only discovered in the 1960's. Although the algorithmic roots of algebraic geometry are old, the computational aspects were neglected earlier in this century. This has changed in recent years, and new algorithms, coupled with the power of fast computers, have let to some interesting applications, for example in robotics and in geometric theorem proving. In preparing a new edition of Ideals, Varieties and Algorithms the authors present an improved proof of the Buchberger Criterion as well as a proof of Bezout's Theorem. Appendix C contains a new section on Axiom and an update about Maple, Mathematica and REDUCE
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duxiu/initial_release/40047815_.zip
备用文件名
zlibzh/no-category/Cox，D.等著, David Cox John Little, Donal O’Shea, ( )David Cox等著, X Co, David A Cox/理想数、簇与算法：2版_117306519.pdf
备选标题
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)
备选标题
Ideals, varieties, and algorithms : an introduction to computational algebraic geometry and commutative algebra : with 91 illustrations
备选标题
理想数, 簇与算法
备选作者
by David Cox, John Little, Donal O’Shea
备选作者
Donal O’Shea David Cox, John Little
备用出版商
Springer Berlin Heidelberg : Imprint : Springer
备用出版商
Springer Spektrum. in Springer-Verlag GmbH
备用出版商
Steinkopff. in Springer-Verlag GmbH
备用出版商
World Publishing Corporation
备用出版商
Springer New York
备用出版商
世界图书出版公司北京公司
备用版本
Undergraduate Texts in Mathematics, Second Edition., Berlin, Heidelberg, Germany, 1997
备用版本
Undergraduate texts in mathematics, Second edition, New York, NY, 1997
备用版本
Undergraduate texts in mathematics, Beijing, 2004
备用版本
China, People's Republic, China
备用版本
2nd ed. 1997, 1997-01-01
备用版本
Di 1 ban, Beijing, 2004
备用版本
Germany, Germany
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开源日期
2024-06-13
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