  The ongoing progress in quantum theory emphasizes the crucial role of the
very basic principles of quantum theory. However, this is not properly followed
in teaching quantum mechanics on the graduate and undergraduate levels of
physics studies. The existing textbooks typically avoid the axiomatic
presentation of the theory. We emphasize usefulness of the systematic,
axiomatic approach to the basics of quantum theory as well as its importance in
the light of the modern scientific-research context.
