Introduction to Tensors
My tensor series is finally here! In this video, I introduce the concept of tensors. I begin by talking about scalars, then vectors, then rank-2 tensors (whose ...
Faculty of Khan
Tensors for Beginners 0: Tensor Definition
Less of a focus on physics in this one. More of a focus on the mathematical definition.
eigenchris
Tensor Calculus 18: Covariant Derivative (extrinsic) and Parallel Transport
First video on Covariant Derivative in flat space: https://www.youtube.com/watch?v=U5iMpOn5IHw ERROR at 21:00, the 1st line, there should also be a (partial ...
eigenchris
Tensor Calculus 3: The Jacobian
Forward and Backward Transforms first video: https://www.youtube.com/watch?v=sdCmW5N1LW4 MINOR ERROR: I sometimes write the cartesian and polar ...
eigenchris
Tensor Calculus 19: Covariant Derivative (Intrinsic) and Geodesics
Other videos on Covariant Derivative: Video 17: https://www.youtube.com/watch?v=U5iMpOn5IHw&index=19&list=PLJHszsWbB6hpk5h8lSfBkVrpjsqvUGTCx ...
eigenchris
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: http://bit.ly/ITAErrata McConnell's classic: ...
MathTheBeautiful
Tensor Calculus 2: Cartesian/Polar Coordinates, and Basis Vectors
A review of cartesian and polar coordinate systems, and the basis vectors that we get from them (also called the "covariant basis" or "holonomic basis").
eigenchris
Tensor Calculus 4e: Decomposition by Dot Product in Tensor Notation
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: ...
MathTheBeautiful
Tensor Calculus For Physics Majors 002 | Vector Transformations and Vectors as Matrices
Part II of the preliminary vector stuff section of this series on Tensor Calculus. We go over transformations through rotation, space-time interval invariance, ...
Andrew Dotson
Tensor Calculus Lecture 8e: The Riemann Christoffel Tensor & Gauss's Remarkable Theorem
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: ...
MathTheBeautiful
Tensor Calculus 23: Riemann Curvature Tensor Components and Symmetries
If you like my videos, you can feel free to tip me at https://www.ko-fi.com/eigenchris Previous video on Riemann Curvature Tensor: ...
eigenchris
Tensor Calculus 21: Lie Bracket, Flow, Torsion Tensor
Videos on Covariant Derivative: 17 - Flat Space: https://www.youtube.com/watch?v=U5iMpOn5IHw 18 - Curved Surfaces: ...
eigenchris
Tensor Calculus 17.5: Covariant Derivative (Component Definition) - Optional
Video 17 on Covariant Derivative in flat space: https://www.youtube.com/watch?v=U5iMpOn5IHw&index=19&list=PLJHszsWbB6hpk5h8lSfBkVrpjsqvUGTCx.
eigenchris
Tensor Calculus 20: The Abstract Covariant Derivative (Levi-Civita Connection)
Previous Covariant Derivative Videos: 17 - Flat Space: https://www.youtube.com/watch?v=U5iMpOn5IHw 18 - Curved Surfaces: ...
eigenchris
Tensor Calculus 22: Riemann Curvature Tensor Geometric Meaning (Holonomy + Geodesic Deviation)
If you want to support my work, feel free to leave a tip: https://www.ko-fi.com/eigenchris Video 21 on the Lie Bracket: ...
eigenchris
Tensor Calculus 4d: Quadratic Form Minimization
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: ...
MathTheBeautiful
Tensor Calculus 3a: The Covariant Basis
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: ...
MathTheBeautiful
What Is a Tensor?
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: ...
MathTheBeautiful
Tensor Calculus for Physics Ep. 9 | Derivatives of Tensors, and the Affine Connection
Is the derivative of a tensor a tensor? Find out now on dragon ball z. Check out merch and stuff: https://teespring.com/stores/smart-people-merch This series is ...
Andrew Dotson
Tensor Calculus 16: Geodesic Examples on Plane and Sphere
Previous Video (15) on Geodesics: https://www.youtube.com/edit?o=U&video_id=1CuTNveXJRc Video 12 on the Sphere metric: ...
eigenchris
Tensor Calculus 14: Gradient explanation + examples
First video on the Gradient vs d operator: https://www.youtube.com/watch?v=nJpONHO_X5o Videos on Tensor Product from my "Tensors for Beginners" series: ...
eigenchris
Tensor Calculus 25 - Geometric Meaning Ricci Tensor/Scalar (Volume Form)
If you like my videos, you can feel free to tip me at https://www.ko-fi.com/eigenchris Previous video on the Ricci Tensor: Video 24: ...
eigenchris
Tensor Calculus For Physics Majors 006 | The Metric Tensor pt. 1
Today I talk about the metric tensor and how it relates coordinate displacement to distance. I also show how to calculate the components of the metric tensor in ...
Andrew Dotson
Tensor Calculus For Physics Majors 004| Transformation of Two Index Tensors
In this video I go over transformation of two-index tensors, and verify the transformation by taking the transformation of a component of the inertia tensor as an ...
Andrew Dotson
Tensor Calculus 26 - Ricci Tensor/Scalar Properties
If you like my videos, you can feel free to tip me at https://www.ko-fi.com/eigenchris Previous videos on Riemann Curvature Tensor: Video 22: ...
eigenchris
Coordinate Transformations and Curvilinear Coordinates | Tensor Calculus
In this video, I go over concepts related to coordinate transformations and curvilinear coordinates. I begin with a discussion on coordinate transformations, after ...
Faculty of Khan
Tensor Calculus 9: Integration with Differential Forms
Minor Error at 13:00 -- I used "C" instead of "P" to describe the path in the integral. Previous videos on differential forms/covector fields: ...
eigenchris
Tensor Calculus 5.1: Derivative Operators are Vectors Discussion
A discussion of why derivative operators are used as vectors.
eigenchris
Tensor Calculus For Physics Majors 003 | Two-Index Tensor Examples
Instead of jumping right into how tensors transform, I give two examples of two-index tensors commonly encountered in undergraduate physics: The electric ...
Andrew Dotson
Tensor Calculus 17: The Covariant Derivative (flat space)
Videos 15 and 16 on Geodesics: https://www.youtube.com/watch?v=1CuTNveXJRc https://www.youtube.com/watch?v=8sVDceI70HM&t=481s Video 2 on Basis ...
eigenchris
Tensor Calculus 5: Derivative Transformation Rules (Contravariance)
Original video on contravariant transformation rule for vectors: https://www.youtube.com/watch?v=A1h_eucHFW4.
eigenchris
Tensor Calculus 2: The Two Conflicting Definitions of the Gradient
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: ...
MathTheBeautiful
Tensor Calculus 11: The Metric Tensor and Arc Lengths (flat space)
Tensors for beginners video on the Metric Tensor (for vector lengths): https://www.youtube.com/watch?v=C76lWSOTqnc.
eigenchris
tensor (hindi)
tensor in hindi tensors introduction to tensors what is tensor? tensor analysis tensor physical significance tensors in hindi physical significance of tensor tensor ...
Eduphile
Tensor Calculus Lecture 8c: The Curvature Tensor On The Sphere Of Radius R
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: ...
MathTheBeautiful
Tensor Calculus
The notion of tensor products is rather abstract in definition. However, one can easily compute with tensor products using coordinates with a fairly elementary ...
DanielChanMaths
Tensor Calculus 4c: A Few Tensor Notation Exercises
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: ...
MathTheBeautiful
Tensor Calculus 4f: The Relationship Between the Covariant and the Contravariant Bases
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: ...
MathTheBeautiful
Tensor Calculus Lecture 7b: Relative Tensors
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: ...
MathTheBeautiful
Tensor Calculus Lecture 13b: Integration - The Divergence Theorem
This course will eventually continue on Patreon at http://bit.ly/PavelPatreon Textbook: http://bit.ly/ITCYTNew Errata: http://bit.ly/ITAErrata McConnell's classic: ...
MathTheBeautiful
Tensor Calculus 13: Gradient vs "d" operator (exterior derivative/differential)
Tensors for Beginners 16 video on Raising/Lowering Tensor Indexes: https://www.youtube.com/watch?v=_z9R7OMpxhY (This was re-uploaded with a ...
eigenchris
Topics In Tensor Analysis Video#12: Metric Tensor ~ Introduction
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TheDigitalUniversity