Complex numbers can be represented either using Cartesian coordinates or polar coordinates. The geometric interpretation of complex multiplication is very beautiful using polar coordinates.
Are imaginary numbers real? After all, why are they be called “imaginary”? Doesn’t this name imply that they don’t exist? To
The Completeness Axiom helps us prove the existence of nth roots of positive real numbers, but the proof is quite challenging.
Real Analysis Study Help for Baby Rudin, Part 1.6
Ultimately, the continuity of at allows us to prove the existence of . Later, the argument is based on the Intermediate Value Theorem. In this article, the argument is