Los Angeles Math Circle

6/3 -- High School I: Transcendental Numbers

This weekend we will be finishing up our discussion of the algebraic and transcendental numbers. Last time we defined what algebraic numbers are, and talked about some of their properties. This time we are going to use their definition and properties to prove, among other things, that algebraic numbers are actually extremely rare and yet we don't know many numbers which are not algebraic. This apparent paradox and more will be discussed on Sunday.