Mathematics - A Basic Course in Real Analysis

Indian Institute of Technology Kharagpur

It is a first level course on Functional Analysis. The motto is to familiarize the students with basic concepts, principles and methods of Functional analysis and its applications.

Course topics:

  • Dedekind Theory of Irrational numbers
  • Cantor’s Theory of Irrational numbers
  • Sets of Points
  • Limit of Sequences of Real Numbers
  • Infinite Series of Real numbers
  • Limit of functions
  • Continuity of Functions
  • Differentiability
  • Riemann Integration / Reimann- Stieltjes Intergral
Course Lectures