How deal with Gothic letters, like $\mathfrak{ A,B,C,D,a,b,c,d}\dots$, when writing by hand?

Question

In mathematics, I sometimes encounter Gothic letters, I mean the letters $\mathfrak A, \mathfrak B, \mathfrak C, \mathfrak D, \dots, \mathfrak a, \mathfrak b, \mathfrak c, \mathfrak d, \dots$. To get them in $\LaTeX$ one would use $\mathfrak{A}$ etc.

For example, in the book Model theory by Chang and Keisler, structures are denoted $\mathfrak A = (A, \dots)$, $\mathfrak B = (B, \dots)$ and so on.

I would like to know how to write this by hand.

Answer 1

The corresponding handwritten script is Sütterlinschrift (Sütterlin script). This chart (which I’ve now reproduced here) clearly shows you the letter forms.

Added 20 October 2022: Uppercase Sütterlin letters that I have seen used to write mathematics at the blackboard, in some cases by Jerry Keisler, include at least $A,B,G,M,N$, and $U$.

Answer 2

I would probably switch to caligraphic variant for uppercase letters. For lowercase, I personally write it as filled blackboard bold (mostly for $\mathfrak{c}$ as continuum), i.e. you apply the way you write $ℝ, ℂ$ to lowercase letters and fill the space between the doubled stroke. Alternatively, you can also turn the oval-based shape into a hexagonal one.