General Relativity Math | General Relativity Math Explained | Mathematics of General Relativity

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The mathematics of General Relativity at first seems to be a daunting task. However, the root of the maths lie on tensors. Tensor calculus and General Relativity are intimately related to each other. In this video, you will learn about the mathematics of General Relativity, specifically about tensor. You will learn the basic concepts of tensors, Einstein field equations, the origin of tensors and the best books on tensor calculus. You will get a complete book review on the best books of tensor calculus and it would be easy for you to start learning General Relativity.

00:00 - 01:20 - Introduction
01:21 - 04:48 - Recap of the earlier video
04:49 - 05:42 - Tensors and Linear Algebra
05:43 - 08:35 - Misconceptions about Tensors
08:36 - 13:35 - What is a Tensor
13:36 - 17:07 - Einstein field equations explained
17:08 - 21:15 - Origin of tensors
21:16 - 23:20 - Mathematics required for tensors
23:21 - 26:02 - Tensor transformation
26:03 - 27:28 - Tensor and General Relativity
27:29 - 30:29 - Stress energy momentum tensor
30:30 - 31:15 - Covariant derivative
31:16 - 32:52 - Ricci tensor and Ricci Scalar
32:52 - 35:00 - How tensors make your life easy
35:01 - 37:44 - Tensors and Covariant derivative
37:45 - 38:41 - Online resources for learning tensors
38:42 - 48:49 - Best book for Tensor Analysis
48:50 - 50:14 - In which order to read the books
50:15 - 51:03 - Conclusion

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My name is Shounak. I teach in a college. My subject of specialization is the general theory of relativity, tensor calculus, and topology. I also teach communicative English.

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[RBRB-hbmu]

Great content, you’re one of the best teachers in YouTube, Please consider dark background for slides, it’s easier to learn thanks

[bismaykumarsahoo]

Sir your lecture is so good.
If possible sir please make a vedio on difference between Newton and Einstein !
(Here difference means about
gravity, force, energy and others )
1 - Newton's wrong and Einstein's correct
2 - Newton's imagination and Einstein's imagination
3 - Give some standard examples. Finally give an example and in it, what will be the Newton's statement as well as Einstein's statement.
( may be falling an 🍎)
The difference leads to fundamental interest on

[warmwelcometoscience-wws]

Sir please ai same series ta qft r jonno please korun atleast ai year er modhya ... physics as well as mathematics prerequisite... Plz sir