| 書(shū)目名稱 | Elimination Methods | | 編輯 | Dongming Wang | | 視頻video | http://file.papertrans.cn/308/307688/307688.mp4 | | 叢書(shū)名稱 | Texts & Monographs in Symbolic Computation | | 圖書(shū)封面 |  | | 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 | | doi | https://doi.org/10.1007/978-3-7091-6202-6 | | isbn_softcover | 978-3-211-83241-7 | | isbn_ebook | 978-3-7091-6202-6Series ISSN 0943-853X Series E-ISSN 2197-8409 | | issn_series | 0943-853X | | copyright | Springer-Verlag Wien 2001 |
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