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In Group Theory I found a "$f:A\longrightarrow B$" but I don’t know how to pronounce this term in English. I know there is a mathematical term for ":" and "$\longrightarrow$" in the map "$f:A\longrightarrow B$". Can anyone tell me that?

Martín-Blas Pérez Pinilla
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Sathiya Kumar V M
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Or, in a more complete example: $f:A \to B : a \mapsto f(a)$

"The function $f$ maps values from $A$ to values from $B$. Every value $a \in A$ is mapped to $f(a) \in B$."

Thekwasti
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  • No problem: And by the way: The arrow for $f: A \to B$ is written as \to in LaTeX (this gives a shorter arrow with the same length as the arrow of \mapsto) – Thekwasti Feb 02 '14 at 19:39
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"$f$ is a function that maps $A$ to $B$" or "$f$ is a function that takes elements of $A$ to elements of $B$", I suppose.

tabstop
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I'd say "$f$ is a map from $A$ to $B$," or if the word map can be confused with something else, $f$ is a function from $A$ to $B$.