Transcendental Numbers

These are numbers.

These are numbers that are not Algebraic

Game: reduce a number to 0. You can add, subtract and raise to any whole number power.

Sol: Multiplying by 0.. sounds trivial. These are algebraic numbers.

A special number: e. Can’t be done.

Charles hermite: “If you can put x into some polynomial equation thart equals 0, then there’s a whole number between 0 and 1.”

e is transcendental number.

Carl Louis Ferdinand von Lindemann: “e ^ (any algebraic number = transcendental.”

e ^ (i * pi) = –1. So pi cannot be algebraic.