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Titlebook: Ideals, Varieties, and Algorithms; An Introduction to C David Cox,John Little,Donal O’Shea Textbook 19921st edition Springer Science+Busine

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發(fā)表于 2025-3-21 19:07:04 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Ideals, Varieties, and Algorithms
副標(biāo)題An Introduction to C
編輯David Cox,John Little,Donal O’Shea
視頻videohttp://file.papertrans.cn/461/460770/460770.mp4
叢書名稱Undergraduate Texts in Mathematics
圖書封面Titlebook: Ideals, Varieties, and Algorithms; An Introduction to C David Cox,John Little,Donal O’Shea Textbook 19921st edition Springer Science+Busine
描述We wrote this book to introduce undergraduates to some interesting ideas in algebraic geometry and commutative algebra. Until recently, these topics involved a lot of abstract mathematics and were only taught in graduate school. But in the 1960‘s, Buchberger and Hironaka discovered new algorithms for manipulating systems of polynomial equations. Fueled by the development of computers fast enough to run these algorithms, the last two decades have seen a minor revolution in commutative algebra. The ability to compute efficiently with polynomial equations has made it possible to investigate complicated examples that would be impossible to do by hand, and has changed the practice of much research in algebraic geometry. This has also enhanced the importance of the subject for computer scientists and engineers, who have begun to use these techniques in a whole range of problems. It is our belief that the growing importance of these computational techniques warrants their introduction into the undergraduate (and graduate) mathematics curricu- lum. Many undergraduates enjoy the concrete, almost nineteenth century, flavor that a computational emphasis brings to the subject. At the same time
出版日期Textbook 19921st edition
關(guān)鍵詞Dimension; Division; Grad; algebraic geometry; algorithms; boundary element method; commutative property; c
版次1
doihttps://doi.org/10.1007/978-1-4757-2181-2
isbn_ebook978-1-4757-2181-2Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Science+Business Media New York 1992
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 20:52:20 | 只看該作者
David Cox,John Little,Donal O’Shea, I suspect, Conway’s very game of Life) will go through their entire life course without ever originating anything like life..What questions, then, should we ask of a prospective medium—be it a Turing machine, a cellular automaton, or some other kind of automaton—that will probe its capabilities to
板凳
發(fā)表于 2025-3-22 00:43:39 | 只看該作者
David Cox,John Little,Donal O’Shea, I suspect, Conway’s very game of Life) will go through their entire life course without ever originating anything like life..What questions, then, should we ask of a prospective medium—be it a Turing machine, a cellular automaton, or some other kind of automaton—that will probe its capabilities to
地板
發(fā)表于 2025-3-22 08:32:44 | 只看該作者
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發(fā)表于 2025-3-22 12:29:45 | 只看該作者
David Cox,John Little,Donal O’Sheans of which are presented in the companion book?.Exercises in Cellular Automata and Groups.?(2023) by the same authors.? It will appeal to a large audience, including specialists and newcomers to the field..978-3-031-43330-6978-3-031-43328-3Series ISSN 1439-7382 Series E-ISSN 2196-9922
6#
發(fā)表于 2025-3-22 13:46:45 | 只看該作者
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發(fā)表于 2025-3-22 17:40:22 | 只看該作者
David Cox,John Little,Donal O’Sheaom the Chapman-Enskog theory; these deviations are due to a buildup of correlations that invalidates the Boltzmann molecular chaos assumption. In the second, the relevant correlations have been suppressed, and good agreement with the Chapman-Enskog theory is obtained.
8#
發(fā)表于 2025-3-22 23:31:23 | 只看該作者
David Cox,John Little,Donal O’Sheaom the Chapman-Enskog theory; these deviations are due to a buildup of correlations that invalidates the Boltzmann molecular chaos assumption. In the second, the relevant correlations have been suppressed, and good agreement with the Chapman-Enskog theory is obtained.
9#
發(fā)表于 2025-3-23 01:28:27 | 只看該作者
David Cox,John Little,Donal O’Sheaamics. These systems therefore present themselves as ideal testing grounds for the explicit derivation of macroscopic equations describing continuous media but also, at a more practical level, as promising alternative tools for simulating fluid flows in nearly realistic conditions.
10#
發(fā)表于 2025-3-23 08:35:20 | 只看該作者
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