Differential Geometry for Beginners | How To Learn Differential Geometry | Differential Geometry Msc

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How to start learning Differential Geometry. For a beginners this is a very pertinent question. In this video, you will get a complete guide on how to learn differential geometry. First, you need to learn how the subject is divided into various steps. Once you learn the steps you get a better overview of the subject. You will also come to know the best book to learn these concepts. You will learn, the concept of manifold. who coined the terms, different types of manifold. You will come across various books on manifold as well as some online resources and lectures. You will get the links for these online resources in the description box.

00:00 - 00:58 - Introduction
00:59 - 02:59 - Recap of the earlier video
03:00 - 09:46 - Steps to learn Differential Geometry
09:47 - 11:10 - Why you should learn the steps
11:11 - 17:55 - Differential Geometry best book
17:56 - 29:37 - What is a manifold
29:38 - 35:09 - Who coined the term manifold
35:10 - 35:56 - Different types of manifold
35:57 - 38:39 - What is a smooth and differentiable manifold
38:40 - 39:49 - What is not a manifold
39:50 - 41:38 - Books for learning manifold
41:39 - 45:09 - Lectures and online resources on manifold
45:10 - 45:46 - Summary
45:47 - 46:15 - Conclusion

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[minma]

Sir i want to learn enough differential geometry to write some 3d analysis of 3d shapes and surfaces.
What is a proper study plan for differential geometry for such goal.
I'm not interested to learn everything about differential geometry.

[aminmohammadi]

Thanks for your videos. I'm confused. I didn't get which book to learn foundational topics. you mentioned serge lang book but at the beginning of the video when you recap the previous video you provided many other books. those books are also for foundational? Also in many other videos you provide different books. would you please summarize everything in one video or if you did already would you please tell me which video I should have watched? since now every video I open to watch you list different books although there are overlapping.

[Bitastro]

Sir can we write the height of projectile as
h=sin(t) where t is time.
Is that possible?