Is the ordinary differential equations course a prerequisite for the partial differential equations course for a person who has passed the integral calculus course?
Is it really required to have passed an ordinary differential equations course to be able to learn Fourier Theory?
What is the prerequisite for a person who wants to learn differential geometry and has passed basic linear algebra, single variable calculus?
My problem with most of the available books is all of them are based on introducing pure theorems with very small amount of practice problems, which does not help much to learn to apply those ideas and make them sink in the mind.
I wish someone could explain the set of skills needed to tackle books based on theory than problem solving, since most of them are hard to deal with.
I expect both guidance and advice on the questions asked, please do not bombard me with list of books that you have googled, instead share your invaluable experiences regarding questions and strategies to reduce wasting time on thinking how to think and learn.