MATH 5110: Introduction to Modern Analysis
Description: Real and Complex Number Systems. Basic topology of metric spaces, Bolzano-Weierstrass and Heine-Borel theorems. Sequences and series of functions on compact metric spaces, uniform convergence, Arzela-Ascoli and Stone-Weierstrass theorems. Differentiation and integration of vector valued functions of several real or complex variables. Inverse and implicit function theorems. Contraction mapping and Picard-Lindelof theorems. Differential forms.
Sections: Fall 2010 on Storrs Campus
|5110||001||Lecture||MWF 2:00:00 PM-2:50:00 PM||MSB215||McKenna, Joseph|