Media Summary: Original video on contravariant transformation rule for vectors: Updated with a correction to the tangent vector magnitude formula. Thanks to Daniel McCammon for pointing out the error. This course will eventually continue on Patreon at Textbook: Errata: ...

Tensor Calculus 5 1 Derivative - Detailed Analysis & Overview

Original video on contravariant transformation rule for vectors: Updated with a correction to the tangent vector magnitude formula. Thanks to Daniel McCammon for pointing out the error. This course will eventually continue on Patreon at Textbook: Errata: ... ERROR: Throughout the video, I use dR/du and dR/dv. These should be partial This video looks at the idea of Covariant

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Tensor Calculus 5.1: Derivative Operators are Vectors Discussion
Tensor Calculus 5: Derivative Transformation Rules (Contravariance)
Tensor Calculus 1: Multi-variable Calculus Review (Updated with correction)
Tensor Calculus 18: Covariant Derivative (extrinsic) and Parallel Transport
Tensor Calculus 17: The Covariant Derivative (flat space)
Tensor Calculus 6d: Velocity, Acceleration, Jolt and the New δ/δt-derivative
Tensor Calculus 17.5: Covariant Derivative (Component Definition) - Optional
Tensor Calculus 4: Derivatives are Vectors
Tensor Calculus 12: The Metric Tensor in Curved Spaces for Measuring Arc Length
Covariant Differentiation
Tensor Calculus 19: Covariant Derivative (Intrinsic) and Geodesics
Tensor Calculus 5a: The Tensor Property
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Tensor Calculus 5.1: Derivative Operators are Vectors Discussion

Tensor Calculus 5.1: Derivative Operators are Vectors Discussion

A discussion of why

Tensor Calculus 5: Derivative Transformation Rules (Contravariance)

Tensor Calculus 5: Derivative Transformation Rules (Contravariance)

Original video on contravariant transformation rule for vectors: https://www.youtube.com/watch?v=A1h_eucHFW4.

Tensor Calculus 1: Multi-variable Calculus Review (Updated with correction)

Tensor Calculus 1: Multi-variable Calculus Review (Updated with correction)

Updated with a correction to the tangent vector magnitude formula. Thanks to Daniel McCammon for pointing out the error.

Tensor Calculus 18: Covariant Derivative (extrinsic) and Parallel Transport

Tensor Calculus 18: Covariant Derivative (extrinsic) and Parallel Transport

First video on Covariant

Tensor Calculus 17: The Covariant Derivative (flat space)

Tensor Calculus 17: The Covariant Derivative (flat space)

Videos 15 and 16 on Geodesics: https://www.youtube.com/watch?v=1CuTNveXJRc ...

Tensor Calculus 6d: Velocity, Acceleration, Jolt and the New δ/δt-derivative

Tensor Calculus 6d: Velocity, Acceleration, Jolt and the New δ/δt-derivative

This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: ...

Tensor Calculus 17.5: Covariant Derivative (Component Definition) - Optional

Tensor Calculus 17.5: Covariant Derivative (Component Definition) - Optional

Video 17 on Covariant

Tensor Calculus 4: Derivatives are Vectors

Tensor Calculus 4: Derivatives are Vectors

Tensors

Tensor Calculus 12: The Metric Tensor in Curved Spaces for Measuring Arc Length

Tensor Calculus 12: The Metric Tensor in Curved Spaces for Measuring Arc Length

ERROR: Throughout the video, I use dR/du and dR/dv. These should be partial

Covariant Differentiation

Covariant Differentiation

This video looks at the idea of Covariant

Tensor Calculus 19: Covariant Derivative (Intrinsic) and Geodesics

Tensor Calculus 19: Covariant Derivative (Intrinsic) and Geodesics

Other videos on Covariant

Tensor Calculus 5a: The Tensor Property

Tensor Calculus 5a: The Tensor Property

This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: ...