ANALYSIS I
Review of Real and Complex numbers systems, Topology of Rn , Continuity and differentiability, Mean value theorem, Intermediate value theorem, Implicit function theorem, Inverse function theorem, Sequence and series of functions, Uniform convergence, Riemann-Stieltjes integral.
Books
- Rudin, W., Principles of Mathematical Analysis, McGraw-Hill, 1985.
- Apostol, T.M., Mathematical Analysis, Narosa, 1987.
- Goldberg, R.R., Methods Real Analysis, Oxford & IBH, 1970.
- Burrill, C. W. and Knudsen, J.R., Holt Rinehart & Winston, 1969.