RainmanTime
Super Moderator
Re: Answer The Questions, Counselor.
Thanks Darby,
At the same time, I know I can count on you to keep me honest in areas where I may tend to "cut corners" or not tell "the whole story".
Collaborative effort? /ttiforum/images/graemlins/smile.gif
RMT
Thanks Darby,
Very well, then!That being said, I think that maybe it is time for you to start a thread that deals with what a vector is, vector analysis and progresses to what a tensor is, how it relates to vector analysis and what it means in our common reality before we try to relate it to the even more complex reality of General Relativity and space-time.
I'll give it a shot. But I must admit to one handicap, and that is due to my position as an engineering prof. I am permitted the luxury in my classes of assuming basic knowledge of vectors and calculus from a mathematical perspective. I know I have a tendency to take the attitude of "go read-up on it", as this permits me to avoid unnecessary tangets in my normal teaching paradigm. Yet I also understand it can be inappropriate here. So the question becomes: Can I count on your help as "guest lecturer" in helping me ground some of the topics down to a more fundamental level? You do have a good way to "bring things home to roost."I know that it is a complex subject but it can be exlained in simplified terms. For instance, tensors can be related to how a block of clay is distorted by twist, stretch and compression (torque/shear, strain and stress). Simple vector analysis can't fully explain the shape that the block of clay is mutated to given those forces acting on it.
It can be explained without going into all of the higher math, as you know. Post Grad and Post Doc analysis obviously requires the math in depth but on the forum a pop-sci explanation should suffice.
At the same time, I know I can count on you to keep me honest in areas where I may tend to "cut corners" or not tell "the whole story".
Collaborative effort? /ttiforum/images/graemlins/smile.gif
RMT