Home »Mathematics »Other » Real Analysis

Real Analysis

Lecture 1: Real Analysis, Lecture 1: Constructing the Rational Numbers

Download:   mp3 download MP4,FLV & 3GP 18110 views

SEE: Guide to Download YouTube Video Lecture

Lecture Details :

Real Analysis, Spring 2010, Harvey Mudd College, Professor Francis Su. Get notes and study tools at http://gosuapm.com/

Course Description :

Constructing the rational numbers,Properties of Q,Construction of R,The Least Upper Bound Property,Complex Numbers,The Principle of Induction,Countable and Uncountable Sets,Cantor Diagonalization, Metric Spaces, Limit Points,Relationship b/t open and closed sets,Compact Sets,Relationship b/t compact, closed sets,Compactness, Heine-Borel Theorem,Connected Sets, Cantor Sets,Convergence of Sequences,Subsequences, Cauchy Sequences. ,Complete Spaces,Series,Series Convergence Tests,Functions - Limits and Continuity,Continuous Functions,Uniform Continuity,Discontinuous Functions. ,The Derivative, Mean Value Theorem,Taylor's Theorem,Ordinal Numbers, Transfinite Induction.

Other Resources :

Citation |

Other Mathematics Courses

» check out the complete list of Mathematics courses          


Get Your Degree!

Find schools and get information on the program that’s right for you.

Powered by Campus Explorer


Post your Comments