Modern Computer Algebra
Modern Computer Algebra
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DOI：
10.1017/cbo9781139856065
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
J. Gathen;J. Gerhard
中科院分区：
文献类型：
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作者：
J. Gathen;J. Gerhard
计算机代数系统在科学和工程的所有领域都越来越重要。这本教科书给出了一个彻底的介绍，在计算机代数系统的数学引擎的算法基础。它是为计算机科学或数学的高级本科生或研究生设计的一个或两个学期的课程。它的全面性和权威性也使其成为该领域专业人员的重要参考。特别功能包括：算法的详细研究，包括时间分析;几个主题的实施报告;数学基础的完整证明;各种各样的应用（其中包括化学，编码理论，密码学，计算逻辑以及日历和音阶的设计）。其中一些材料以前从未以书的形式出现过。在新版本中，更正了错误，对文本进行了平滑和更新，并增加了关于最大公约数和符号积分的新章节。
Computer algebra systems are gaining importance in all areas of science and engineering. This textbook gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. It is designed to accompany one-or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics. Its comprehensiveness and authority also make 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; a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). Some of this material has never appeared before in book form. For the new edition, errors have been corrected, the text has been smoothed and updated, and new sections on greatest common divisors and symbolic integration have been added.