Differential geometry's most important theorem | Euler characteristic #3

Why is the "4-color theorem" easier on the torus? | Euler characteristic #2

The "textbook exercise" on Euler characteristic | Euler characteristic #1

How physics solves a math problem (and a 3D graphics problem)

The clever way curvature is described in math

Lie algebras visualized: why are they defined like that? Why Jacobi identity?

Matrix trace isn't just summing the diagonal | Lie groups, algebras, brackets #5

Can we exponentiate d/dx? Vector (fields)? What is exp? | Lie groups, algebras, brackets #4

What is Lie theory? Here is the big picture. | Lie groups, algebras, brackets #3

How to rotate in higher dimensions? Complex dimensions? | Lie groups, algebras, brackets #2

Why study Lie theory? | Lie groups, algebras, brackets #1

How many terms do we need in the exp series?

Queuing theory and Poisson process

Theorema Egregium: why all maps are wrong

The biggest misconception about spin 1/2

I use PowerPoint to edit all* videos (and hit 100k subs!)

The deeper meaning of matrix transpose

How hard was my Cambridge interview? (ft. @TomRocksMaths)

Random walks in 2D and 3D are fundamentally different (Markov chains approach)

The weirdest paradox in statistics (and machine learning)

Why you can't solve quintic equations (Galois theory approach) #SoME2

The simplest reason why π/4 = 1 - 1/3 + 1/5 -...

The geometric interpretation of sin x = x - x³/3! + x⁵/5! -...

Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6

What if we define 1/0 = ∞? | Möbius transformations visualized

What do complex functions look like? | Essence of complex analysis #4

The 5 ways to visualize complex functions | Essence of complex analysis #3

What are complex numbers? | Essence of complex analysis #2

Why care about complex analysis? | Essence of complex analysis #1

Green's functions: the genius way to solve DEs

From miller to entering Cambridge at age 40 - George Green

Solved simply: the impossible integral

What is Jacobian? | The right way of thinking derivatives and integrals

The numerical simulation is NOT as easy as you think! - Average distance #2

Dream cheating scandal - explaining ALL the math simply

What is the average distance of two points in a disc? (PART 1)

Icosahedral symmetry - conjugacy classes and simplicity

Without integration, why is the volume of a paraboloid half of its inscribing cylinder? (DIw/oI #8)

Problem of Apollonius - what does it teach us about problem solving?

Burnside's Lemma (Part 2) - combining math, science and music

Burnside's Lemma (Part 1) - combining group theory and combinatorics

Limitations of mathematical models; historical context of BGW process [PART III]

How likely is coronavirus (COVID-19) eradicated? [PART II]

Alternative to SIR: Modelling coronavirus (COVID-19) with stochastic process [PART I]

Summary: an example covering ALL group theory concepts!! | Essence of Group Theory

Chapter 7: Group actions, symmetric group and Cayley’s theorem | Essence of Group Theory

Two opposite games involving golden ratio (ft. Tom Rocks Maths)

Chapter 6: Homomorphism and (first) isomorphism theorem | Essence of Group Theory

Chapter 5: Quotient groups | Essence of Group Theory

How will the COVID-19 (coronavirus) epidemic end?

Chapter 4: Conjugation, normal subgroups and simple groups | Essence of Group Theory

Chapter 3: Lagrange's theorem, Subgroups and Cosets | Essence of Group Theory

Chapter 2: Orbit-Stabiliser Theorem | Essence of Group Theory

Chapter 1: Symmetries, Groups and Actions | Essence of Group Theory

Power rule of integrals not using integration; definition of e | DIw/oI #7

How do I love math? (Part II - Proof without words)

How is pi calculated to trillions of digits?

Why does R(4,4)=18?

Proof of Ramsey's theorem

Rhapsody on Ramsey numbers (and aliens?)