July 19, 2021July 19, 2021

Complex Numbers are Real

Complex Numbers are Beautiful Too

Real Analysis Study Help for Baby Rudin, Part 1.7

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

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January 19, 2021June 3, 2021

Definitions of Ordered Set and Ordered Field

And an Ordered Field That Can Be Ordered in More Than One Way

Study Help for Baby Rudin, Part 1.2

A visual for a totally ordered set with three elements. — A graphic representation of the totally ordered set of three points $\left\{a,b,c\right\}$ with $a<b<c$ . The directed line segments are not part of the set. They only indicate the order.

\left\{a,b,c\right\} — A graphic representation of the totally ordered set of three points $\left\{a,b,c\right\}$ with $a<b<c$ . The directed line segments are not part of the set. They only indicate the order.

The set of real numbers $\Bbb{R}$ is more than just a set. As

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