|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/introduction-to-special-relativity-k/
课程评论：没有评论
课程名称：狭义相对论导论 本课程将带您深入了解狭义相对论。理解狭义相对论是掌握广义相对论的第一步。狭义相对论与我们熟悉的牛顿力学世界截然不同，它研究的是物体以接近光速的极高速度运动时的现象。在这些超高速度下，物体将进入一个奇妙的世界：时间会变慢，物体会变短，甚至“同时”这样的简单概念也会失去意义。 课程内容还将涵盖黎曼几何，这是一种与拓扑学紧密相关的几何学。您可以将黎曼几何初步理解为在弯曲表面上的几何学，这与在平面上的欧几里得几何学相对。在相对论中，我们将引力解释为空时（spacetime）的弯曲，因此我们需要适应在弯曲空间中进行物理学研究。 此外，您还将学习到一种功能强大且用途广泛的数学工具——张量（tensors）。您将学习如何使用张量进行一些代数运算和基础微积分。张量是广义相对论、宇宙学以及流体动力学等领域中语言的基础。 我们还将探讨曲率的概念，特别是空间的曲率。对于三维生物来说，想象一个弯曲的表面（如抛物面或球体）是容易的。然而，在张量分析和相对论中，我们将考虑维度超过两维的空间的曲率。
In this course I will introduce you to Special Relativity, Understanding special relativity is the first step in mastering general relativity. Special Relativity, which is vastly different from the Newtonian world we live in. Deals with objects travelling at extremely high velocities near the speed of light. When objects travel at these enormous speeds, they enter a very strange world where time slows down, things get shorter and simple concepts like simultaneous to lose their meaning. You will also be introduced to Riemannian geometry, which is closely related to topology. At this stage, think of Riemannian geometry as geometry on a curved surface, as opposed to Euclidean geometry which is geometry on a flat plane. In relativity, we interpret gravity as the curving of spacetime, and that is why we need to adapt our physics to working in curved spaces.You will also encounter a very versatile and powerful mathematical tool called tensors. You will learn how to do some algebra and basic calculus using tensors. Tensors form the basis of the language used in general relativity, cosmology and it is also prominent in fluid dynamicsConcept of curvature, specifically the curvature of spaces. It is easy to imagine a curved surface, like a paraboloid or sphere, since we are three dimensional beings. However, in tensor analysis and relativity, we are considering the curvature of spaces with more than just two dimensions.
