  These notes present an introduction to the method of geometric quantization.
We discuss the main theorems in a style suitable for a theoretical physicist
with an eye towards the physical motivation and the interpretation of the
geometric construction as providing a solution to Dirac's axioms of
quantization. We provide in detail the examples of free relativistic particles,
their corresponding quantum fields, and the bosonic string using formalism of
double field theory. Based on lectures written by Gabriel Cardoso.
