Recent content by WittyName

Thanks for the reply. Would you know of any sites where I can read more on this?

Linear functions are functions which satisfy the two properties: f(x+y)=f(x)+f(y) \\ f(a*x)=a*f(x) I was wondering how would you show this property was true for multi-variable functions e.g. f(x,y,z). Would it suffice to show f(x_{1}+x_{2},y,z)=f(x_1,y,z)+f(x_2,y,z) \\...

Much appreciated :D

Thanks i'll be sure to check them out. It's an undergrad course but i want to do some preliminary reading. Yes to both analysis and linear algebra, but no to topology.

As the title says. Can anyone recommend me some good books for differential geometry(preferably ones with proofs and examples/exercises)?

The range isn't R^3 because the function f: R^2->R^1.