Youtor
Relativity 105c Acceleration The Jacobian changing basis in curvilinear Rindler coordinates
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Full relativity playlist: • Relativity by eigenchris • Powerpoint slide files: https://github.com/eigenchris/MathNot... • Leave me a tip: https://ko-fi.com/eigenchris • Previous videos on the Jacobian from my Tensor Calculus series: • TC2 - Polar Coordinates : • Tensor Calculus 2: Cartesian/Polar Co... • TC3 - Jacobian : • Tensor Calculus 3: The Jacobian • TC4 - Tangent Vectors : • Tensor Calculus 4: Derivatives are Ve... • TC5 - Vector Transformation Rules : • Tensor Calculus 5: Derivative Transfo... • 0:00 Intro to Jacobian • 2:45 Multivariable Chain Rule • 7:20 Basis vectors as Partial Derivatives • 14:23 Change to Rindler Basis (Jacobian) • 18:42 Change back to Inertial Basis (Inverse Jacobian) • 22:28 All change-of-basis matrices are Jacobians • 25:05 Change-of-components to Rindler coordinates • 31:21 Change-of-components to Inertial coordinates • 33:23 Summary
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