Explore the foundations of complex analysis within o-minimal expansions of real closed fields in this comprehensive graduate-level lecture delivered by Kobi Peterzil from the University of Haifa. Delve into the intricate mathematical concepts presented as part of the Graduate Course on O-minimality and Applications at the Fields Institute. Gain valuable insights into this specialized area of mathematics over the course of 1 hour and 35 minutes, laying the groundwork for further exploration of the subject in subsequent lectures.