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 2008 on Storrs Campus
|5110||001||Lecture||TuTh 11:00-12:15||MSB315||Michael Neumann|