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 2018 on Storrs Campus
|05909||5110||001||Lecture||TuTh 09:30:00 AM-10:45:00 AM||ITE125||Gordina, Maria|