Mathemaniac

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

The weirdest paradox in statistics (and machine learning)

Dream cheating scandal - explaining ALL the math simply

Greens functions: the genius way to solve DEs

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

How hard was my Cambridge interview? (ft.

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

The deeper meaning of matrix transpose

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

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

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

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

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

EXPLAINED: Calculating square roots easily (BABYLONIAN and more)

Burnsides Lemma (Part 1) - combining group theory and combinatorics

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

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

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

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

Solved simply: the impossible integral

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

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

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

How many terms do we need in the exp series?

15-year-old did mathematical research?! What was my thinking process back then?

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

The biggest misconception about spin 1/2

Chapter 5: Quotient groups | Essence of Group Theory

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

Everything you need to know about operations in modular arithmetic

Icosahedral symmetry - conjugacy classes and simplicity

What is mathematical elegance? How do I love math? | Shorts #2

4 DIFFERENT ways to prove Herons formula

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

Chapter 3: Lagranges theorem, Subgroups and Cosets | Essence of Group Theory

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

Matrix trace isnt just summing the diagonal | Lie groups, algebras, brackets #5

The clever way curvature is described in math

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

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

What do Fibonacci numbers have to do with combinatorics?

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