A mathematician uses different kinds of math alphabets:
typeset with \mathbb{}
(you need to add the amsfonts
or amssymb
package)
\mathbb{ABCDEFGH}
typeset with \mathfrak{}
(you need to add the amsfonts
or amssymb
package)
\mathfrak{ABCDEFGHabcdefgh1234567}
typeset with \mathcal{}
\mathcal{ABCDEFGH}
typeset with (you need to add mathrsfs
package)
\mathscr{ABCDEFGH}
Notice that there are only capital letters in blackboard, calligraphic and RSFR alphabets.
From time to time it is also necessary to use some letters from the
\alpha \beta \gamma \delta \epsilon \zeta \eta