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Titlebook: Elimination Methods; Dongming Wang Book 2001 Springer-Verlag Wien 2001 algebra.algebraic geometry.algorithms.ants.automated theorem provin

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樓主
發(fā)表于 2025-3-21 16:13:57 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Elimination Methods
編輯Dongming Wang
視頻videohttp://file.papertrans.cn/308/307688/307688.mp4
叢書名稱Texts & Monographs in Symbolic Computation
圖書封面Titlebook: Elimination Methods;  Dongming Wang Book 2001 Springer-Verlag Wien 2001 algebra.algebraic geometry.algorithms.ants.automated theorem provin
描述The development of polynomial-elimination techniques from classical theory to modern algorithms has undergone a tortuous and rugged path. This can be observed L. van der Waerden‘s elimination of the "elimination theory" chapter from from B. his classic Modern Algebra in later editions, A. Weil‘s hope to eliminate "from algebraic geometry the last traces of elimination theory," and S. Abhyankar‘s sug- gestion to "eliminate the eliminators of elimination theory. " The renaissance and recognition of polynomial elimination owe much to the advent and advance of mod- ern computing technology, based on which effective algorithms are implemented and applied to diverse problems in science and engineering. In the last decade, both theorists and practitioners have more and more realized the significance and power of elimination methods and their underlying theories. Active and extensive research has contributed a great deal of new developments on algorithms and soft- ware tools to the subject, that have been widely acknowledged. Their applications have taken place from pure and applied mathematics to geometric modeling and robotics, and to artificial neural networks. This book provides a syst
出版日期Book 2001
關(guān)鍵詞algebra; algebraic geometry; algorithms; ants; automated theorem proving; computer algebra; derivation; mat
版次1
doihttps://doi.org/10.1007/978-3-7091-6202-6
isbn_softcover978-3-211-83241-7
isbn_ebook978-3-7091-6202-6Series ISSN 0943-853X Series E-ISSN 2197-8409
issn_series 0943-853X
copyrightSpringer-Verlag Wien 2001
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0943-853X applications have taken place from pure and applied mathematics to geometric modeling and robotics, and to artificial neural networks. This book provides a syst978-3-211-83241-7978-3-7091-6202-6Series ISSN 0943-853X Series E-ISSN 2197-8409
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0943-853X is can be observed L. van der Waerden‘s elimination of the "elimination theory" chapter from from B. his classic Modern Algebra in later editions, A. Weil‘s hope to eliminate "from algebraic geometry the last traces of elimination theory," and S. Abhyankar‘s sug- gestion to "eliminate the eliminator
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Irreducible zero decomposition, further decomposed by making use of factorization in order to compute zero decompositions possessing better properties. For our exposition some of the material from Wu (1984; 1994, chap. 4) will be used without explicit mention.
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Various elimination algorithms,main reason for this is that these methods are already well-known, fully described in standard textbooks, and widely accessible. In order to reduce overlap with existing materials in the literature, we shall not introduce the methods in detail and be satisfied by only giving them a brief review. Mos
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