Meaning of Math Symbols

Question

What is the best way to learn the meaning of the math symbols beyond the alphabet or the cardinal numbers?

I understand some

ϵ>0 means epsilon is greater than zero

∃δ>0 means there exists delta greater than zero

How should I say these?

∀x,y∈R, δf∘g=min{δ,δ1}, and f∘g

Answer 1

Here is where I used to go to learn new symbols.

Also, if $f : X \rightarrow Y$ and $g : Y \rightarrow Z$ are functions, we write $g \circ f$ for the unique function $X \rightarrow Z$ specified by the following constraint.

$$\forall x \in X : (g \circ f)(x) = g(f(x))$$

This is called composition of functions. Make sure you also learn the terms "domain" and "codomain".

Also, notice that the notation for composition of functions is kind of backwards. Therefore, I write my arrows backwards to compensate: as in, if $g : Z \leftarrow Y$ and $f : Y \leftarrow X$, then $g \circ f : Z \leftarrow X$.

Answer 2

Juast read and learn math and you'll see that there is nothing to learn ;)

Answer 3

Symbols carry meaning contextually. Sure, they have a literal "English" counterpart, but the sentence "plums deify" is pretty much nonsense, unless you're readying a fictional work in which plums are intelligent and have organized some kind of religion. In order to separate these kinds of nonsense sentences from the ones that really do make sense, you have to learn the context.

So to that end, I think your best bet is to figure out where those symbols you are looking at are coming from, and study some of that material. If I had to take a guess as to what you would be looking at when you encountered something like that, I'd venture to say it's some kind of elementary analysis text. So maybe try out a book like Ross's Elementary Analysis. It is very beginner friendly, and will teach you all the necessary notation used in the foundations of analysis.