Introduction to Real Analysis

This lecture introduces the basics of real function analysis of a real variable, covering proofs of important results, basic concepts, and an introductory chapter on complex numbers. The course aims for a certain level of rigor without delving into formal constructions of real numbers. It includes reminders on basic notions and lays the groundwork for using complex numbers in other courses. The lecture also discusses the uniqueness of limited developments and the importance of total order in real numbers.