Ubuntu :: Return A List Of Files Without The Extensions?

I am writing a bash shell script and I am trying to use a select case to modify a few files with the same filename but different extensions (i.e. problem.tex problem.log problem .pdf etc.)

It goes something like this:

Select item in $list
do
compile $item.tex
open $item.pdf
delete $item.log
break
done
exit

Right now my list is list=$( find . -maxdepth 1 -name "*.tex" ) which returns a list only from the current directory of all files ending in .tex so when I try to open the resulting .pdf file I get the error:

error: file problem.tex.pdf doesn't exist

So I'm trying to find a way to use just the name in a select menu.