高等数学在物理学中的应用

Application of higher mathematics in physics

物理学是定量的科学,数学为物理学提供了定量表述和预言的能力,二者几乎总是不可分割地联系在一起。本文将从矢量、微分、积分等几个方面向读者展示如何使用数学语言,展开物理与数学的关系。数学是物理的语言,伽利略说"自然是一本打开着的大书,这本书是用数学语言写的,我先用数学来演算,然后用手和眼来检验,如果得出相同的答案,这个答案一般就是正确的"。这种思想是将观察与实验、物理思想和数学工具相结合的方法,具有伟大的生命力。

Physics is a quantitative science,mathematics provides the quantitatively describe and predict for the physics,the two are almost always inseparable.This article will from several vector,differential,integral,to show how to use mathematical language to readers,deploy the relation between physics and mathematics.Mathematics is the language of physics,Galileo said 'nature is an opened book,this book is written in mathematical language,I use mathematics to calculus,and then to test by hand and eye,if the same answer,this answer is correct'.The idea is to combine observation and experiment,physical ideas and mathematical tool,has great vitality.