We report progress achieved during decades on direct single and multiple io
nization of simple atoms by electron collsion. In particular we investigate
total cross sections from threshold to high energies. We show that all exp
erimental data compare favorably with Wannier threshold theory. A better un
derstanding of the ionization process one gets from the analysis of multipl
y differential cross sections. To this end we discuss (e, 2e) and (e, 3e) e
vents.