indulge 发表于 2025-3-21 17:28:38

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LINES 发表于 2025-3-21 22:29:21

Undergraduate Texts in Mathematicshttp://image.papertrans.cn/i/image/460768.jpg

音乐学者 发表于 2025-3-22 01:53:22

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取之不竭 发表于 2025-3-22 05:53:49

Elimination Theory,This chapter will study systematic methods for eliminating variables from systems of polynomial equations. The basic strategy of elimination theory will be given in two main theorems: the Elimination Theorem and the Extension Theorem. We will prove these results using Groebner bases and the classic theory of resultants.

Tinea-Capitis 发表于 2025-3-22 10:52:21

Invariant Theory of Finite Groups,Invariant theory has had a profound effect on the development of algebraic geometry. For example, the Hilbert Basis Theorem and Hilbert Nullstellensatz, which play a central role in the earlier chapters in this book, were proved by Hilbert in the course of his investigations of invariant theory.

monochromatic 发表于 2025-3-22 15:26:43

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火光在摇曳 发表于 2025-3-22 20:51:38

Geometry, Algebra, and Algorithms,her dimensional objects) defined by polynomial equations. To understand affine varieties, we will need some algebra, and in particular, we will need to study . in the polynomial ring .[.1.]. Finally, we will discuss polynomials in one variable to illustrate the role played by .

famine 发表于 2025-3-22 21:48:00

Polynomial and Rational Functions on a Variety,se objects, and especially the mappings which preserve some property of interest. For instance, in linear algebra after studying vector spaces, you also studied the properties of . between vector spaces (mappings that preserve the vector space operations of sum and scalar product).

Protein 发表于 2025-3-23 02:49:10

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rods366 发表于 2025-3-23 07:14:53

Springer-Verlag New York 2007
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查看完整版本: Titlebook: Ideals, Varieties, and Algorithms; An Introduction to C David Cox,John Little,Donal O’Shea Textbook 20073rd edition Springer-Verlag New Yor