  In these notes of six lectures on selected topics in the theory of cold,
dilute Bose gases, presented at the 5th Warsaw School of Statistical Physics in
June 2013, the following topics are discussed: 1) The concept of BEC, 2) the
ground state energy of a dilute Bose gas with short range interactions, 3)
Gross-Pitaevskii theory and BEC in trapped gases, 4) Bose gases in rotating
traps and quantized vortices, and 5) strongly correlated phases in the lowest
Landau level generated by rapid rotation.
