This is an archived course. A more recent version may be available at ocw.mit.edu.
In this illustration of the Stone-Weierstrass theorem, the polynomials Pn(x), as defined above, approximate the function f(x)=|x| uniformly on the interval [-1,1]. (Image by Dr. Dan Ciubotaru.)
Dr. Dan Ciubotaru
18.100C
Spring 2006
Undergraduate
This course is meant as a first introduction to rigorous mathematics; understanding and writing of proofs will be emphasized. We will cover basic notions in real analysis: point-set topology, metric spaces, sequences and series, continuity, differentiability, and integration.