I am searching for a book on multi-variable calculus that explains multi-variable product, multi-variable integration by parts, etc.
As an example, here's a simple problem that I would like to be able to do after reading this book.
Let u(x) = || x - y ||^2 + 3x^t z. Find the derivative of u with respect to x.
Can anyone recommend a book to me?
Thank you for your help.