高等数学中蕴涵的数学思想方法探析

Analysis of the Mathematics Thought and Method Contained in Higher Mathematics

高等数学中蕴涵着丰富的数学思想方法,包括极限思想方法、转化思想方法、辩证思想方法、符号化思想方法、模型化思想方法。其中极限思想方法是高等数学的基本思想方法,实质是通过有限认识无限,以不变应万变,以近似认识精确,转化思想方法可培养人的灵活思维,实现难易转换,复杂到简单的转换。

Higher mathematics contains abundant mathematical thought and method, including the thought and method of limit, transformation, dialectic, symbol, model, of which the thought and method of limit is the basic one in higher mathematics. Its essence is through the finite knowledge of infinite, steadfast, through the approximation to understand the precise. The thought and method of transformation can culture people flexible thinking, realize the conversion from difficult to easy, and simple to complex.