Vectors | Chapter 1, Essence of linear algebra
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YouTube3Blue1Brown
Vectors | Chapter 1, Essence of linear algebra
Beginning the linear algebra series with the basics. Help fund future projects: https://www.patreon.com/3blue1brown Music: https://vincerubinetti.bandcamp.com/track/grants-etude Thanks to Elo Marie Viennot and Ambros Gleixner from HTW Berlin (www.htw-berlin.de) for contributing German translations and dubbing. Thanks also to these viewers for ...
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You are familiar with the operations of gradient (∇ϕ), divergence (∇·V) and curl (∇×V) in ordinary vector analysis ia three-dimensional Euclidean space, Using covariant derivatives, derive formulae for these operations in spherical polar coordinates (r, 6, ϕ) defined by x=r sinθcosϕ y=r sinθsinϕ z=r cosθ Conpare your results to those in Jackson (1999) or an equivalent text. Are they identical? Should they be? | Numerade
You are familiar with the operations of gradient (∇ϕ), divergence (∇·V) and curl (∇×V) in ordinary vector analysis ia three-dimensional Euclidean space, Using covariant derivatives, derive formulae for these operations in spherical polar coordinates (r, 6, ϕ) defined by x=r sinθcosϕ y=r sinθsinϕ z=r cosθ Conpare your results to those in Jackson (1999) or an equivalent text. Are they identical? Should they be? | Numerade
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