# BLOGS WEBSITE

# TAG: complex numbers

#### Return to the iplane: A complex line

It’s been four years since I came up with the idea of iplanes as a way to organise the complex points on a graph, and in the intervening time I have thought about them on and off. For some reason right now I am thinking about them a lot, and I thought I would write […]

#### Stop hating on cis(θ)

I met with some lovely Electrical and Electronic Engineering lecturers yesterday about their various courses and how I can help their students with the maths involved. And of course complex numbers came up, because they do come up in electronics. (I have not the slightest clue how they come up, but I am aware that […]

#### Where the complex points are: where the idea came from

This is the last (for now) in a series of posts about Where the Complex Points Are. To catch you up, I discovered a way of visualising where the complex points are in relation to the points of the real plane. All the complex points (p+ri,q+si) are in a plane attached to the real plane […]

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#### Where the complex points are: the graph of a function

This is the fourth in a series on Where the Complex Points Are.

Where the complex points are: introduction to the iplane concept

Where the complex points are: on a line

Where the complex points are: on a parabola

Where the complex points are: the graph of a function (YOU ARE HERE)

Where the complex points are: where the idea […]

3 Comments

#### Where the complex points are: on a parabola

This is the third in what has turned out to be a series on Where the Complex Points Are.

Where the complex points are: introduction to the iplane concept

Where the complex points are: on a line

Where the complex points are: on a parabola (YOU ARE HERE)

Where the complex points are: the graph of a function

Where the […]

2 Comments

#### Where the complex points are: on a line

This is the second in what has turned out to be a series on Where the Complex Points Are.

Where the complex points are: introduction to the iplane concept

Where the complex points are: on a line (YOU ARE HERE)

Where the complex points are: on a parabola

Where the complex points are: the graph of a function

Where the […]

3 Comments

#### Where the complex points are

When you first learn complex numbers, you find out that they give you ways to solve equations that were previously unsolvable. The classic example is the equation equation x^2 + 1 = 0, which if you’re only using real numbers has no solutions, but with complex numbers has the solutions x=i and x=-i.

As someone who […]

10 Comments