The making of GABLE: a geometric algebra learning environment in Matlab
The making of GABLE: a geometric algebra learning environment in Matlab
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DOI：
10.1007/978-1-4612-0159-5_24
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
Stephen Mann;L. Dorst;T. Bouma
中科院分区：
文献类型：
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作者：
Stephen Mann;L. Dorst;T. Bouma
几何代数用具有几何意义的算子扩展了克利福德代数，其目的是促进几何计算。目前的教科书和实现并不总是传达这种几何风味或几何代数的计算和表示便利性，因此我们认为需要一个将表示、计算和可视化相结合的计算机教程，以展示几何代数的直觉和技术。当前的软件包要么仅包含 Clifford 代数（CLICAL [11] 和 CLIFFORD [3]），要么不包含图形 [2]，因此我们决定构建自己的软件包。结果是 GABLE（几何代数学习环境），这是一个适合本科生的几何代数实践教程 [7]。
Geometric algebra extends Clifford algebra with geometrically meaningful operators with the purpose of facilitating geometrical computations. Present textbooks and implementation do not always convey this geometrical flavor or the computational and representational convenience of geometric algebra, so we felt a need for a computer tutorial in which representation, computation and visualization are combined to exhibit the intuition and the techniques of geometric algebra. Current software packages are either Clifford algebra only (CLICAL [ 11 ] and CLIFFORD [ 3 ]) or do not include graphics [ 2 ], so we decided to build our own. The result is GABLE (Geometric AlgeBra Learning Environment), a hands-on tutorial on geometric algebra that is suited for undergraduate students [ 7 ].