Math Infinitum

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Welcome to Math Infinitum! Unlocking the infinite beauty of mathematics through code and animation. We bridge the gap between abstract formulas and visual un...

Latest Videos

The Alexander Horned Sphere A Wild Counterexample in Topology

The Geometry of Curves A Visual Introduction to Differential Geometry

Partial Differential Equations Heat Equation

What is Lie theory - The Language of Symmetry

Category Theory for Beginners (A Clear Introduction)

Concept of a Functional and Function Spaces Calculus of Variations

Cauchy’s Theorem for Multiply Connected Domains

Weierstrass function explained Continuous Everywhere, Differentiable Nowhere

Finding All Complex Roots of z^7 + 50 = 0

Analyticity of cos(z) Cauchy-Riemann Equations & Conformal Mapping

Complex Analysis Finding Singularities and Residues (Simple Poles, and the Residue Theorem)

How to Integrate Riemann’s Function — A Rigorous Step-by-Step Derivation

Logic vs. Calculation Analytical Solution to a Floor & Fractional Part Equation

Triple Integral in Cylindrical Coordinates Cone & Plane Intersection

Laplace Transform First Shifting Theorem 6 Examples

Group Theory Step-by-Step (Symmetry and Axioms)

Power Series Expansion Partial Fraction Decomposition & Convergence

Line Integral of the First Kind Definition, Theory, and Example

Solving Exact ODE (2xy) dx + (x² - y²) dy = 0 Full Theory & Solution

Solving Second Order ODE y'' + y' - 2y = 0 Distinct Real Roots

Evaluating Triple Integral over a Tetrahedron Calculus 3 Example

Linear Differential Equation Solution (xy + e^x)dx - x dy = 0 Variation of Constants

Solving ODE y' + y tan(x) = sec(x) Variation of Parameters Example

Residue Calculation for Higher-Order and Simple Poles — A Detailed Example

Residue Calculation Multiple Singularities & Removable Singularity

How to Find the Residue of a Function (Simple Pole Example)

Complex Integration Two Singularities Inside the Contour

Evaluating Definite Complex Integral from 1-i to 1+i

Contour Integral of Real Part Re(z) Direct Parametrization Example

Solving ODE (2x + 1)y' = 4x + 2y Method of Variation of Constants