摘要：These three concepts of gradient, divergence, curl play an important role not only in physics, but also prominent in the differential calculus. This article first introduced, arc length element, with an area of infinitesimal element of volume expressed in different coordinate systems, for later in the gradient, divergence, curl in different coordinate systems is generally fully prepared . Second, from the point of view of physics we clarify the gradient, divergence, curl the physical meaning, we have a new understanding of the gradient, divergence, curl. Gradient, divergence, curl are shown different coordinate systems and studied from different angles, making it a more user-friendly understanding.%梯度,散度,旋度这三个概念不仅在物理学中有着重要的地位,同时在微分学中也地位突出.首先介绍了弧长微元,面积微元,体积微元在不同的坐标系下的表示.其次从物理学的角度阐明了梯度,散度,旋度的物理意义让我们对梯度,散度,旋度有一个新的认识,最后将梯度,散度,旋度在不同坐标系下表示,从不同的角度去研究,从而有一个更加通俗易懂的认识.
