MAT337 Introduction to Real Analysis
Instructor: Ignacio Uriarte-Tuero
Course Overview:
Construction of Real Numbers. Metric spaces; compactness and connectedness. Sequences and series of functions, power series; modes of convergence. Interchange of limiting processes; differentiation of integrals. Function spaces; Weierstrass approximation; Fourier series. Contraction mappings; existence and uniqueness of solutions of ordinary differential equations. Countability; Cantor set; Hausdorff dimension.
Recommend Textbook:
- Real Analysis and Applications