LaTeX workshop - Math alphabets

A mathematician uses different kinds of math alphabets:

blackboard

typeset with \mathbb{}
<LaTeX-source>
\mathbb{ABCDEFGH}
</LaTeX-source>

gothic

typeset with \mathfrak{} (you need to add the amsfonts or amssymb package)
<LaTeX-source>
\mathfrak{ABCDEFGHabcdefgh1234567}
</LaTeX-source>

calligraphic

typeset with \mathcal{}
<LaTeX-source>
\mathcal{ABCDEFGH}
</LaTeX-source>

so-called RSFR fonts

typeset with (you need to add mathrsfs package)
<LaTeX-source>
\mathscr{ABCDEFGH}
</LaTeX-source>
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

Greek alphabet:

<LaTeX-source>
\alpha \beta \gamma \delta \epsilon \zeta \eta
</LaTeX-source>