Contravariant and Covariant Vectors | 1/2
In this video, I describe the meaning of contravariant and covariant vector components. As mentioned in a previous video, tensors are invariant under coordinate transformations. However, tensor components transform according to specific rules; they may either transform in a contravariant manner (i.e. the opposite manner as the basis vectors) or in a covariant manner (i.e. the same manner as the basis vectors).
I discuss contravariant and covariant components and give some intuition of what they mean by using two examples. The next video will cover a more rigorous definition of contravariant and covariant vector components.
Questions/requests? Let me know in the comments!
Pre-reqs: The previous videos in the playlist - https://www.youtube.com/playlist?list=PLdgVBOaXkb9D6zw47gsrtE5XqLeRPh27_
2nd video on Tensors: https://www.youtube.com/watch?v=j6DazQDbEhQ&list=PLdgVBOaXkb9D6zw47gsrtE5XqLeRPh27_&index=3&t=0s
Lecture Notes: https://drive.google.com/open?id=1CVYgE5iEGAeuSe16L1x0ULYiL0GVTgJn
Patreon: https://www.patreon.com/user?u=4354534
Twitter: https://twitter.com/FacultyOfKhan
Special thanks to my Patrons for supporting me at the $5 level or higher:
- Anonymous
- Cesar Garza
- Odissei
- Alvin Barnabas
- Jacob Soares
- Yenyo Pal
- Lisa Bouchard
- Bernardo Marques
- Connor Mooneyhan
- Richard McNair
- Guillaume Chereau
- Patapom
- Vitor Ciaramella
- McKay Oyler
- Dieter Walter Reule
Видео Contravariant and Covariant Vectors | 1/2 канала Faculty of Khan
I discuss contravariant and covariant components and give some intuition of what they mean by using two examples. The next video will cover a more rigorous definition of contravariant and covariant vector components.
Questions/requests? Let me know in the comments!
Pre-reqs: The previous videos in the playlist - https://www.youtube.com/playlist?list=PLdgVBOaXkb9D6zw47gsrtE5XqLeRPh27_
2nd video on Tensors: https://www.youtube.com/watch?v=j6DazQDbEhQ&list=PLdgVBOaXkb9D6zw47gsrtE5XqLeRPh27_&index=3&t=0s
Lecture Notes: https://drive.google.com/open?id=1CVYgE5iEGAeuSe16L1x0ULYiL0GVTgJn
Patreon: https://www.patreon.com/user?u=4354534
Twitter: https://twitter.com/FacultyOfKhan
Special thanks to my Patrons for supporting me at the $5 level or higher:
- Anonymous
- Cesar Garza
- Odissei
- Alvin Barnabas
- Jacob Soares
- Yenyo Pal
- Lisa Bouchard
- Bernardo Marques
- Connor Mooneyhan
- Richard McNair
- Guillaume Chereau
- Patapom
- Vitor Ciaramella
- McKay Oyler
- Dieter Walter Reule
Видео Contravariant and Covariant Vectors | 1/2 канала Faculty of Khan
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