A Boot Camp to Special Theory of Relativity

所在平台: Udemy

课程主页: https://www.udemy.com/course/a-boot-camp-to-special-theory-of-relativity/

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课程名称:特殊相对论训练营 课程概述:本课程追溯了人类对非生物物体运动理解的历史,从苏格拉底、亚里士多德时期到爱因斯坦时代。本课程旨在涵盖大多数大学本科课程中与该主题相关的常见内容。我们将从家中舒适的椅子上,回顾公元前350年以来的相关发展。在课程中,我们将推导使阿尔贝特·爱因斯坦声名卓著的能量-质量等价关系。课程内容还包括伽利略变换方程、洛伦兹变换方程、质量与速度的关系、重力红移以及粒子的相对论能量方程。此外,我们将讨论特殊相对论的其他分支,如时间膨胀、长度收缩、双生子悖论、同时性的含义和相对论多普勒效应,同时遵循因果原则。课程将通过数学仿真软件MAPLE帮助学员可视化这些概念。 课程开始时将介绍《数学原理》中的基本定义,接着推导伽利略变换。同时,爱因斯坦在相对论理论中加入了光速绝对性的公理,从而修改了基本的相对论原则,这导致了洛伦兹变换的形成。课程进一步探讨洛伦兹变换方程,通过平滑的推导过程得出著名的E=mc^2。我们还使用动画来解释各种概念,增强学习效果。

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This course begins with the history of developments in human understanding of the motion of inanimate objects from the time of Socrates and Aristotle to the Present time (Einstein). here we intent to cover the most common topics in this subject that are in the undergraduate curriculum of most of the universities. While setting in the armed chair at home we shall roll through the course of the developments since BC350. in this course we shall derive the energy-mass equivalence relation which has given unique fame to Albert Einstein. In this course, we shall derive Gallio's Transformation Equations, Lorentz's Transformation Equation, mass dependence on velocity, dropper shift, and equation for relativistic energy of the particle. Also, the light will be thrown upon the other off-shoots of special Relativity like; Time dilation, length contraction, twin paradox, the meaning of simultaneity, relativistic Doppler effect while obeying the principle of causality. This course will enable us to visualize through Mathematical simulation software MAPLE.The course opens with fundamental definitions from Principia Mathematica, followed by the derivation of Gallian transformation. Einstein modified the theory of relativity by adding an axiom of absoluteness of speed of light to the basic principle of relativity. this leads to Lorentz's transformation. the course further takes care of exploration of Lorentz transformation equitation in a smooth way to derive E=mc^2. Use of animations has also been explored to explain various concepts.

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