陳瑋瑋 劉陸軍


摘 要:高等數學是由微積分、比較深入的代數學、幾何學以及它們之間相互交叉的內容所形成的一門基礎的學科,我們運用高等數學的思想、原理和方法來認識解決初等數學中的問題,能讓我們更深層次、更透徹的理解問題、剖析問題、解決問題,從而培養學生的理解思維、創新精神和解決實際問題的能力,所以文章將從高等數學中的關于矩陣、Jensen不等式、Lagrange插值公式和定積分這幾個方面來解決一些初等數學的問題。
關鍵詞:高等數學;矩陣;Jensen不等式;Lagrange插值公式;定積分
中圖分類號:G642 文獻標志碼:A 文章編號:2096-000X(2017)07-0086-02
Abstract: Higher mathematics is a basic subject formed by calculus, and more in-depth algebra, geometry, and their overlapping content, and we use advanced mathematics thought, principle and method to solve the problem of elementary mathematics, which can make us a deeper and more thorough understanding of the problem, analyze problems, solve problems, so as to cultivate the students' understanding of thinking, innovative spirit and ability to solve practical problems. Therefore this article will solve some problems of the elementary mathematics from matrix, Jensen's inequality, interpolation formula and definite integral in the higher mathematics.
Keywords: advanced mathematics; matrix; Jensen's inequality; Lagrange interpolating formula; definite integral