Tensor analysis and introduction to tensors

This is an incredible series of lectures from Pavel Grinfeld:

and here is a whole series of lectures on linear algebra and tensor calculus from the same professor that is extraordinarily good

https://www.youtube.com/channel/UCr22xikWUK2yUW4YxOKXclQ/playlists

His is also this book:

http://www.amazon.es/Introduction-Tensor-Analysis-Calculus-Surfaces/dp/1461478669

Tensors, Metric Tensors

If you want to learn about tensors and metric tensors , read:

http://www.drchristiansalas.org.uk/MathsandPhysics/Relativity/Gravitation.pdf    …..chapter 2

http://www.amazon.es/Gravitation-Physics-Series-Charles-Misner/dp/0716703440

https://1e47a410-a-62cb3a1a-s-sites.googlegroups.com/site/winitzki/linalg/Linear_algebra_exterior.pdf?attachauth=ANoY7crfG0SKhDzy0qTo6tge1w_1jcqGvWTtVH7Ljw6qxoySN6TSNwmfeYl1z7qlcfWL244Hq2D3dug_mUpPpVF-gUKE4Fa-Eix2FOIPAcFH7-EcAB6fZbReuQWRtNZ3WMtWvvo5sdh9dXbSuUNr130i2W2wdjhO7WTo_8OYQCYyrKvhPdRWBgXvbHUhVxuO04luLJMd06iBwkJAgN_VJxPTAxAR_mrbR6P29wIIKIyG-bOmQf_KExs%3D&attredirects=0

This is a very good introduction….