GeometryTensorAlgebraPt1.wmv
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I am very happy to see the vidoe after you give this How do you convert Geometry into Algebra using Tensors? Geometric triangles and quadraiaterals can be derived from sequences of vectors
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I Really Like The Video From Your How do you convert Geometry into Algebra using Tensors? Geometric triangles and quadraiaterals can be derived from sequences of vectors.
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after i watched this video Geometric triangles and quadraiaterals can be derived from sequences of vectors, my insight is very open because the video is very good to give information
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I found your explanation very simple and clear, the pace was comfortable, and overall very enlightening. Keep them coming!
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Didn't Hermann Grassmann attempt to convert geometry into a type of tensor algebra during the nineteenth century?
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Roughly speaking, Grassmann algebras are exterior algebras generated by the wedge product. For example, if e(k) is a basis of an n-dimensional space, the n-form generated by "wedge-ing" all the e(k)'s generates the volume of an n-dimensional solid. If e(k) are ortho-normal and right handed, the n-form is a unit n-cube of volume +1. So...yes.
Mathview 7 months ago
Great Explanation! Better than khanacademy if you ask me
wonderouswonderloo 1 year ago
@wonderouswonderloo TY for then comment! Next series of videos will cover the subject of differentials, vector bundles, and how vector fields can become derivatives in a tangent space. Hope to get this started next week.
Mathview 1 year ago