articles
Long-form explorations of mathematical ideas that go beyond the curriculum. Some articles are free to read; others require a subscription.
derangements (part 1)
FreeExploring permutations where nothing stays in its original place.
derangements (part 2)
FreeContinuing the exploration of derangements and their properties.
amazing arctans
Beautiful relationships between arctangent values.
Cassini
A journey through these fascinating curves and their properties.
functional equations
An introduction to solving equations involving functions.
the Josephus problem
FreeA classic problem with surprising mathematical structure.
cardioids
The beautiful mathematics behind spirograph patterns.
integration with tea
A powerful technique for trigonometric integration.
differentiation without limits
Finding gradients and tangents using polynomial factorization.