Channel: Andrew Dotson
Category: Education
Tags: oducurlcontravariantdensitydegreecivitagradschooltensorcalculusphdandrewcovariantgeneraldivergencenmsumajorrelativitymetricphysicsgradstudentlaplaciandotsonlevi
Description: Today we derive the expression for curl in a general covariant notation. We do this by promoting vectors to covariant vectors, derivatives to covariant derivatives, and also promote the levi-civita symbol to an actual tensor. This series is based off "Tensor Calculus for Physics" by Dwight Neuenschwander which can be found at: amazon.com/gp/product/1421415658/ref=as_li_tl?ie=UTF8&camp=1789&creative=9325&creativeASIN=1421415658&linkCode=as2&tag=andrewdotson-20&linkId=b45243268a957a6cfdfc854a8f677a58 Levi_Civita Transformation Rule (See pg's 11-12) bohr.physics.berkeley.edu/classes/221/1112/notes/tensor.pdf Previous Episode (Ep. 13): youtube.com/watch?v=elovn55jg-I&t=787s&ab_channel=AndrewDotson Video relating Jacobians to the metric (Ep. 8 ~ 32 minutes in): youtube.com/watch?v=lJYNw-nGDoM&ab_channel=AndrewDotson