线性代数中逻辑论证与抽象概念的形象化

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线性代数作为工科院校的一门工程数学的开设,应有其特殊性。首先,受课时限制及工科院校的要求,不可能也不必要象理科院校那样,自始至终贯彻逻辑论证的思维训练,而应把理解基本概念放在首位,逻辑思维训练放到第二位。其次,工科院校学员学习线性代数的目的,是为其他基础理论学科服务,以及成为将来在解决工程技术中的一个有用工具。故应附加一定数量的应用题,使其避免产生"由抽象到抽象的幻觉,为将来工作的应用作好心理准备。 The establishment of linear algebra as an engineering mathematics in engineering colleges should have its own particularities. First of all, subject to the constraints of class hours and the requirements of engineering colleges, it is impossible and unnecessary, like the science academies, to carry out the logical training of thinking from the beginning to the end. Instead, the basic concepts of understanding should be given top priority, and the logical thinking training should be placed second. Secondly, the purpose of learning linear algebra for engineering college students is to serve other basic theoretical disciplines and become a useful tool in solving engineering technology in the future. Therefore, a certain number of application questions should be attached to prevent them from creating an illusion of abstraction and abstraction, and to prepare psychologically for the application of future work.
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