TITLE: Background to learn about manifolds
QUESTION [5 upvotes]: Greetings
As a necessity to go forward with physics, I find myself in the need to learn about manifolds. Being an engineering student, I don't have the chance to study topology in all its glory.
So, can any one point me to the right direction, i mean things I must know first and the materials to fill the gaps before approaching manifolds?
Thanks

REPLY [2 votes]: Arkadiusz Jadczyk very much recommended M.Fecko's textbook ("Differential geometry and Lie groups for physicists").