Пеева, Кети Георгиева; Peeva, Ketty Georgieva; Андреев, Любомир; Andreev, Ljubomir
Софтуер за трансформация към главни оси с MAPLE
Software for transformation to principle axes with MAPLE
2008
Proceedings of the Technical University – Sofia, 58(1), 2008, pp. 72-82
Технически университет - София
1311-0829 [issn]
Article
eng
We develop software in MAPLE environment for transformation of the general form equation of second order curve (conic) or second order surface (quadric) to its normal form. Following analytical methods and using some of the MAPLE functions, we propose original code for computing the normal form equation of a conic or quadric, for plotting the input curve (surface, respectively) and the result after normalization. After introducing the general form equation the user may see the computational process step by step - reduction to canonical form, changes of coordinate system, classification of equation (nevertheless non-degenerate or degenerate). The software is implemented in bachelor degree education of first year students in Applied Mathematics at the Technical University of Sofia.
Reviewer prof. Georgi Bijev. - Formulas, schemes - References, pp. 82