Modern computer algebra
Modern computer algebra
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DOI：
10.1145/582475.582479
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发表时间：
2002-09
期刊：
影响因子：
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通讯作者：
Phelps Linder;Rodger;Bernard Scholkopf;Alexander Smola
中科院分区：
文献类型：
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作者：
Phelps Linder;Rodger;Bernard Scholkopf;Alexander Smola
现在，计算机代数系统在科学和工程的所有领域都无处不在。这本非常成功的教科书被广泛认为是“计算机代数的圣经”，对计算机代数系统中数学引擎的算法基础进行了详尽的介绍。旨在陪同一到两个学期的课程，用于计算机科学或数学的高级本科生或研究生，其全面性和可靠性也使其成为该地区专业人员的重要参考。特殊功能包括：详细研究算法，包括时间分析；关于几个主题的实施报告；数学基础的完整证明；以及多种应用（除其他应用，在化学，编码理论，密码学，计算逻辑以及日历和音乐量表的设计中）。大量的历史信息和插图为文本提供了帮助。在这第三版中，已经纠正了错误，并且快速欧几里得算法分会进行了翻新。
Computer algebra systems are now ubiquitous in all areas of science and engineering. This highly successful textbook, widely regarded as the 'bible of computer algebra', gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics, its comprehensiveness and reliability has also made it an essential reference for professionals in the area. Special features include: detailed study of algorithms including time analysis; implementation reports on several topics; complete proofs of the mathematical underpinnings; and a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). A great deal of historical information and illustration enlivens the text. In this third edition, errors have been corrected and much of the Fast Euclidean Algorithm chapter has been renovated.