Symmetry
Subgroups and Lagrange’s Theorem
The nature of subsymmetries
Kasper Müller
Group Theory
Group Theory
The nature of symmetry and the symmetry of nature
Series
An Amazing Formula
Generalizing Leibniz' formula for π, the alternating harmonic series, and the Basel problem
Number Theory
Perfect Numbers
An ancient riddle
Geometry
Visualizing Mathematical Equations and Operations
Capture the Essence of an Equation and Solve it Visually by Using Mathematical Graphs
Prime Numbers
Mersenne Primes
Number Mysteries and the Hunt for Large Primes
Prime Numbers
The Goldbach Conjecture
An Equivalent Formulation of an Unsolved Mystery
Proof Theory
A Simple Proof of the Quadratic Formula Using Symmetry
You Don’t Need to Remember the Formula
Number Theory
The Euler Totient Function
A Probabilistic Approach
Analytic Number Theory
The Abel Summation Formula
Sums, Integrals, and Series
Infinity
There are Different Kinds of Infinities
From Brilliance to Madness
Complex Analysis
Beyond Infinity
Analytic Continuation and its Applications in Quantum Physics