What was difficult for me?
It was difficult to go back to and understand the implicit meaning of a function. I've been in so many math classes in my life that I thought I knew pretty well what a function was. I've always understood it to be kind of like a machine - you put something in and you get something out. You have an x, you put it in, and you get a y out. I wasn't sure of this "domain," "codomain," "image," "mapping" vocabulary. I think this is the most difficult part for me - the introduction to a new vocabulary that deals with something I feel like I have a pretty good grasp on.
What did I find interesting?
I find section 9.2 "The Set of All Functions from A to B" interesting. It's interesting to look at the set of all functions from A to B by B^(A). It says in the book that this is a peculiar notion, it is quite logical. This is the truth. You take the number of elements in B, and raise it to the number of the elements in A. This makes a lot of sense. I'm excited to see how this will play into proofs later on.
It was difficult to go back to and understand the implicit meaning of a function. I've been in so many math classes in my life that I thought I knew pretty well what a function was. I've always understood it to be kind of like a machine - you put something in and you get something out. You have an x, you put it in, and you get a y out. I wasn't sure of this "domain," "codomain," "image," "mapping" vocabulary. I think this is the most difficult part for me - the introduction to a new vocabulary that deals with something I feel like I have a pretty good grasp on.
What did I find interesting?
I find section 9.2 "The Set of All Functions from A to B" interesting. It's interesting to look at the set of all functions from A to B by B^(A). It says in the book that this is a peculiar notion, it is quite logical. This is the truth. You take the number of elements in B, and raise it to the number of the elements in A. This makes a lot of sense. I'm excited to see how this will play into proofs later on.
You're an inspiration. Have you ever thought about publishing your work?
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