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GraphicMaths

@GraphicMaths

GCSE and A Level maths with images, animations and videos. Illustrations created using open source @generativepy Python module.

 Milton Keynes, England
graphicmaths.com
Joined May 2015
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I just published Pathological cases — Dirichlet function link.medium.com/10blJAAKgPb
Pathological cases — Dirichlet function

Pathological cases — Dirichlet function

My new book Calculus is available on Leanpub, with a free sample chapter

link.medium.com
46
Squeeze theorem, with proof open.substack.com/pub/graphi…
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Squeeze theorem and the function x^2 sin(1/x) open.substack.com/pub/graphi…
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The Dirichlet function open.substack.com/pub/graphi…
27
The sin(1/x) function is a pathological case for limits open.substack.com/pub/graphi…
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Limits in Calculus video open.substack.com/pub/graphi…
21
Volume of revolution open.substack.com/pub/graphi…
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I just published The golden ratio link.medium.com/l1oABLCZZLb
The golden ratio

The golden ratio

The golden ratio was mentioned in Euclid’s Elements around 300 BCE, although it was probably known even earlier than that. It has been…

link.medium.com
25
What is nothing? Kuhn's nine levels of nothing open.substack.com/pub/graphi…
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I just published What is nothing? Kuhn’s nine levels of nothing link.medium.com/im7jnF1qJLb
What is nothing? Kuhn’s nine levels of nothing

What is nothing? Kuhn’s nine levels of nothing

I would probably have been about 8 years old when a question popped into my head that would cause me sleepless nights for a long time. A…

link.medium.com
22
Improper integrals open.substack.com/pub/graphi…
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I just published Continuous uniform distribution link.medium.com/UGtWjgEUaLb
Continuous uniform distribution

Continuous uniform distribution

Here is a spinning wheel, that has a circumference exactly 1 metre. We will perform an experiment where we set the wheel spinning, and then…

link.medium.com
22
I just published The pi function — calculating factorials using integration link.medium.com/ApIEt993YKb
The pi function — calculating factorials using integration

The pi function — calculating factorials using integration

The factorial function n!, is a well-known function that has many applications in mathematics. It is defined for non-negative integers as:

link.medium.com
18
I just published Area under a polar function — integration in polar coordinates link.medium.com/hKnJseJ9TKb
Area under a polar function — integration in polar coordinates

Area under a polar function — integration in polar coordinates

The familiar xy-plane uses Cartesian coordinates to represent points in a 2D space. Every point in space can be represented by a pair of…

link.medium.com
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I just published The pi function — using logarithms to find factorials link.medium.com/UkRsVNNmHKb
The pi function — using logarithms to find factorials

The pi function — using logarithms to find factorials

The factorial function n!, is a well-known function that has many applications in mathematics. It is defined for non-negative integers as:

link.medium.com
21
Check out my latest article: Fourier’s ingenious proof that e is irrational linkedin.com/pulse/fouriers-… via @LinkedIn
Fourier’s ingenious proof that e is irrational

Fourier’s ingenious proof that e is irrational

Euler’s number, e, is an important number in mathematics that appears in many contexts. As an example, here are two important properties of $e$.

linkedin.com
12
I just published Zermelo-Fraenkel set theory link.medium.com/Y7frdJr4uKb
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I just published Surprise exam paradox link.medium.com/Nl7yRtq3uKb
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Fourier’s ingenious proof that e is irrational open.substack.com/pub/graphi…
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Coin rotation paradox video youtube.com/watch?v=8-M19fuH…
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