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所在平台: Udemy |
课程主页: https://www.udemy.com/course/math-for-electricity-and-magnetism/
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课程名称：电磁学中的数学 课程概述：物理并不难，但如果没有必要的工具来解决物理问题，物理课程就会变得相当困难，甚至不可能进行。就像一个没有工具的机械师一样，他无法完成工作！例如，电磁学课程充满了复杂的符号，如梯度（grad）、散度（div）、旋度（curl）以及偏导数和三角函数的结合等，因此这个课程可能在初学时显得比较困难，甚至可能让你想要放弃物理学习。请不要失去信心，因为首先你需要一些工具来掌握这门美丽的学科。这些工具同样也会帮助你在力学和工程领域。因此，在学习电磁学之前，我将为你介绍一些基本概念： - 向量微积分：向量的定义、标量积、向量积 - 向量微积分：向量通量 - 坐标系：直角坐标系 - 坐标系：柱坐标系 - 坐标系：球坐标系 - 坐标系：直角坐标系与柱坐标系之间的关系 - 坐标系：直角坐标系与球坐标系之间的关系 - 三角学 - 旋转矩阵 - 三个坐标系中的无穷小线元 - 三个坐标系中的无穷小面积元 - 三个坐标系中的无穷小体积元 - 梯度算子 - 散度算子 - 旋度算子 我会为你提供关于算子的更多细节，希望这个课程对你有帮助，享受这八小时的视频学习体验吧！
Physics is not hard, but if you don't have the tools for doing Physics, Physics become not just hard but impossible to do it, like a mechanic with not his tools, he can't work! For example, Electricity and Magnetism course is filled with strange symbols like grad, div, curl, partial derivative cos and sin combined...etc, and for this reason, this course maybe appears difficult for the first time, and maybe you can abandon physics. Please don't lose hope, because you need first some tools for doing Physics, this beautiful subject. Those tools can also help you in mechanics and engineering. And for this I represent you some concepts before going in electricity and magnetism course: Vector calculus: Definition of a vector, scalar product, vector productVector calculus: Flux of a vectorCoordinate system: Cartesian coordinatesCoordinate system: Cylindrical coordinatesCoordinate system: Spherical coordinatesCoordinate system: Relations between Cartesian and cylindrical coordinatesCoordinate system: Relations between Cartesian and spherical coordinatesTrigonometryRotation matrixInfinitesimal line element in the three coordinates systemsInfinitesimal area element in the three coordinates systemsInfinitesimal volume element in the three coordinates systemsGradient operator Divergence operatorCurl operatorI promise you further details about operators I hope that this course will be useful for you, pass 8 hours of video with pleasure!
