If you've got calculus, the main thing you'll need to learn to learn tensors is linear algebra.professor said:i have read gravitation, tanks i will look at the other recomendations (the last looks like what im looking for)- and ohh drat dident realize what thread i was in, i hope some more poeple find this (qm is atleast related so probably..)
- and ohh yes i began my learning of general calculus from my teachers college book in 7'th grade :) - im only in tenth now, but i do know a thing or two about tensors.. curvature tensors is what im looking for
No. A tensor (I think this is the best way to define them for relativity) is defined by the way it transforms under co-ordinate transformations.professor said:well im 15 now :P 16 in march :)
also- a tensor is a triple vector? - or a three dimensional vector (triple probably not the right word)
professor said:well im 15 now :P 16 in march :)
also- a tensor is a triple vector? - or a three dimensional vector (triple probably not the right word)
A tensor can have an arbitrarily high rank. A vector is a rank 1 tensor, and a matrix is a specific form of a rnak 2 tensor.professor said:well im 15 now :P 16 in march :)
also- a tensor is a triple vector? - or a three dimensional vector (triple probably not the right word)
I wish I knew of a site. Lacking one you may want to see a derivation of them. I whipped this one up atprofessor said:could soemone give me a site, or let me know of a book that gives the feild equations in the context which Einstein presented them, along with his discussion of their implications?
Thanks. Please note that I don't know how Einstein derived his equations. This is how I derived it based on Schutz's derivation as well as Chandrasekhar. I'd imagine that Einstein's wasn't that much different.professor said:edit: i just looked over the derivation website...thanks for that i had never seen how he (einstien) had come up with that before. I still am having problems with the idea of tensors in the first place... mabye ill post on calc forums for that, or hope my math teacher knows a thing or two about them... he probably will.
Huh!selfAdjoint said:A contravariant tensor of rank k is a multilinear function that takes k tangent vectors into a single vector.
A covariant tensor of rank k is a multilinear function that takes k 1-forms and maps them into scalars.A covariant tensor of rank k is a multilinear function that takes k tangent vectors into a coefficient number.
I don't see how to make this defintion match up with Baez's atselfAdjoint said:A contravariant tensor of rank k is a multilinear function that takes k tangent vectors into a single vector. A covariant tensor of rank k is a multilinear function that takes k tangent vectors into a coefficient number.