That explains this beautifully detailed list!!! Thanks

Thanks!! I have this one and it is exactly among the reasons why I have to understand manifolds. In the book, there's a focus on Lagrangian and Hamiltonian Mechanics which at some point, you have to know manifolds. And that's where I find myself stuck. It looks like great book!

I'll make sure I have it too. Javier has given a very exhaustive and detailed list. since it's not easy to choose, it's better then I have this one as you have mentioned it. Furthermore I'm more on the physics side than the pure mathematics side. Thanks

Sorry, Didn't know they (mathsoverflow & math.stackexhange) are completely different. Thanks