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Maths and Musings

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Maths and Musings
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Cantor’s Paradise

The Basel Problem: 1+1/2² + 1/3² +… = π²/6

Solving the Basel problem, using an elementary introduction to fourier series!

13 min readDec 28, 2020

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The Basel Problem: 1+1/2² + 1/3² +… = π²/6

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Maths and Musings
in
Cantor’s Paradise

The Chessboard Puzzle and the Mathematics of Invariants

Here we crack a tricky yet simple problem at the intersection of computer science and mathematics. It also gives a lovely insight into how…

6 min readSep 23, 2020

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The Chessboard Puzzle and the Mathematics of Invariants

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Maths and Musings
in
Cantor’s Paradise

Euler’s Fabulous Formula

Here we investigate and understand the brilliant formula which unlocks the power of complex numbers.

7 min readAug 27, 2020

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Euler’s Fabulous Formula

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Maths and Musings
in
Cantor’s Paradise

What is the Axiom of Choice?

Here’s a fun 2-minute guide to the infamous Axiom of Choice, one of the stranger mathematical curiosities.

4 min readAug 22, 2020

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What is the Axiom of Choice?

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Maths and Musings
in
Cantor’s Paradise

Mathematics Analysis For Coders

An intro to mathematical analysis, using ideas familiar to coders

9 min readAug 20, 2020

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Mathematics Analysis For Coders

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Maths and Musings
in
Cantor’s Paradise

Erdős’ Proof of the Infinitude of Primes

Let’s take a look at an unusual proof that there are infinitely many prime numbers.

4 min readAug 18, 2020

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Erdős’ Proof of the Infinitude of Primes

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Maths and Musings
in
Cantor’s Paradise

The Fundamental Theorem of Arithmetic

Over 2,300 years ago Euclid proved the Fundamental Theorem of Arithmetic. Now it is our turn.

6 min readAug 8, 2020

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The Fundamental Theorem of Arithmetic

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Maths and Musings
in
Cantor’s Paradise

The Gauss Bonnet Theorem and an Introduction to Spherical Geometry

A visual introduction to Spherical geometry, a geometry where triangles’ angles don’t sum to 180.

6 min readAug 1, 2020

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The Gauss Bonnet Theorem and an Introduction to Spherical Geometry

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Maths and Musings
in
Cantor’s Paradise

Exploring Monotone Subsequences With Dynamic Programming in Python

When computer science and dynamic programming meets math

8 min readJul 25, 2020

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Exploring Monotone Subsequences With Dynamic Programming in Python

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1

Maths and Musings
in
Cantor’s Paradise

A Theorem of Erdos and Szekeres

A Theorem by two mathematical greats, which anybody, no maths experience required, can understand! An amazing, and beautiful, result…

11 min readJul 17, 2020

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A Theorem of Erdos and Szekeres

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Maths and Musings

Maths and Musings

1.97K Followers

a ‘mathmo’ at cambridge. Most my time is now on my start-up, but I hope you enjoy these writings, a lot of care went into them. https://twitter.com/MathmoThe

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