I'm studying Vector Calculus right now, and I'll have a test about Coordinate Transformation soon. But the book my teacher recommended (Mathematical Methods for Physicists - Arfken) is way too hard to understand this subject. Does anyone know any good material about this that I can find on internet? Thank you.
Hey cristina89 and welcome to the forums. For something more intuitive I would recommend the book "Div, Grad, Curl and all That". If you are at a university I think your library should have this book. Div, grad, curl, and all that : an informal text on vector calculus / H.M. Schey Published New York : W.W. Norton, c1992 Not sure if there are newer versions, but this one definitely exists.
Thank you so much! I'll try to find this book tomorrow. I just need to have an idea of how, given a transformation, I find a new basis, a normalized basis, the displacement, gradient, the volume in the new basis... This kind of thing. If anyone else knows any other book, please tell me, it would help me a lot (: