3.3, due January 22

1. Ok, I think I kinda get this stuff. I've learned about functions being isomorphic before, so I kind of understood that a little bit; however, maybe it was a different definition because I don't remember the 3 rules that it must satisfy in order to be isomorphic. But anyway, on p. 75, in the paragraph before the first example it talks about how it is also important to show that something is not isomorphic. Then it says to do this you must show that there is no possible function from one to the other satisfying the 3 conditions. I guess I just didn't understand the way this was worded. In order to show that something is not isomorphic, don't you just have to show that one of the conditions fail? Anyway, I think I'll just need to practice with these to really get them down, but I'm pretty sure I understand the general idea.
2. Well I think it is cool how other math classes relate to each other. If what I learned in one of my math classes last year about isomorphism was the same as what I'm learning now, then it's so good, cause I've done some of it before. I also like that if something is isomorphic it is also homomorphic, that'll save some time if we're ever asked to show both. Well, I hope that I understand everything, I'll just need practice, like always! :)