Introduction to Real Analysis (R. G. Bartle and D. R. Sherbert)
Principles of Mathematical Analysis (Rudin .W)
Real Analysis (H.L. Royden)
Interior points
Limit points
Open sets
Closed sets
Bounded sets
Connected sets
Compact sets
Completeness of R
Lecture 1 || Real Analysis || Metric Spaces
Lecture 2 || Real Analysis
Real Analysis || Lecture 3
Power series (of real variable)
Taylor’s series
Radius and interval of convergence
Term-wise differentiation and integration of power series
Lecture 16 (Power Series)
Lecture 17 (Power Series)
Lecture 18 (Taylor Series, Maclaurin Series, Taylor Polynomial)
Lecture 19 (Taylor and Maclaurin series practice problems)
Lecture 20 (Convergence of Taylor series)
Lecture 21 (Convergence of Taylor Series)
Lecture 22 (Error estimation)