Real Analysis 2025
Introduction to real analysis
Logistics
Timings: Thursday at 9:30 AM and Tuesday at 9:30 AM Co-taught with Dr. Poorna Narayanan.
Syllabus
Sets and relations, introduction to proofs, supremum, infimum, Completeness axiom of reals, Archimedean property, sequences, Bolzano-Weierstrass theorem, Cauchy completeness, series and their convergence criteria. Topology of real line, functional limits and continuity, differentiation and integration.
Course Objectives
TBA
References
- Abbott; “Understanding Analysis”, 2nd Edition, Springer Science + Business Media, New York, NY.