so you would suggest studying symbolic logic? how did you become good at solving problems?
My first thought is: what do you mean by [itex]b^x[/itex] defined over the reals?here is a sample random problem: Fix [itex] b >1 [/itex], [itex] y > 0 [/itex], and prove that there is a unique real [itex] x [/itex] such that [itex] b^x = y [/itex].
E&M is one of my favorite subjects! Yes, I think I can solve any problem in Jackson, but I must admit that there are some problems in there that I would never do for fun.Could you solve all the problems in Jackson E&M?
Not yet, although if I had stuck to one subject I would have.Do you have a PhD?
I made bad grades in high school because the teachers and textbooks were/are so bad that I wouldn't want anything to do with them in any lifetime. The math back then was delivered at such a slow pace that I didn't see it going anywhere and I wasn't interested. That changed when I discovered the potential for self-study.Crosson, then why did you have trouble with Alg 2 in high school?
My advice is to read as many proofs as you can. In the time it takes to write one proof, you might be able to read 10. This way, when you are forced to write a proof of your own, you will have a large enough bag of tricks to try out.And how did you become good at problem solving?
I'm glad you said that, so that I don't have to feel too bad for only getting through the first set of exercises.another way to put the fact that my 13 page notes cover the same ground as insel et al's 400 pages, is to say that a person who reads 15 pages of their book a day, should expect to read less than one page of mine a day, maybe a half a page a day