Computer algebra: Symbolic and algebraic computation
Computer algebra: Symbolic and algebraic computation
复制标题
DOI：
--
复制
发表时间：
1982
期刊：
影响因子：
--
通讯作者：
B. Buchberger;G. Collins;R. Loos;R. Albrecht
中科院分区：
文献类型：
--
作者：
B. Buchberger;G. Collins;R. Loos;R. Albrecht
计算机代数是数值数学的一种替代和补充。它的重要性在稳步提升。这本书是对计算机代数首次进行系统且完整的论述。它介绍了计算机代数的基本问题以及目前已知的用于解决这些问题的最佳算法及其数学基础，并完整地引用了原始文献。本书采用自上而下的结构，从大多数读者都能很好理解的高层次问题，到解决高层次问题所需的低层次问题。本书可作为传统代数课程或一般算法课程的补充教材，也为独立的计算机代数课程提供了基础。
Computer algebra is an alternative and complement to numerical mathematics. Its importance is steadily increasing. This volume is the first systematic and complete treatment of computer algebra. It presents the basic problems of computer algebra and the best algorithms now known for their solution with their mathematical foundations, and complete references to the original literature. The volume follows a top-down structure proceeding from very high-level problems which will be well-motivated for most readers to problems whose solution is needed for solving the problems at the higher level. The volume is written as a supplementary text for a traditional algebra course or for a general algorithms course. It also provides the basis for an independent computer algebra course.