Euler’s Amicable Numbers
William Dunham

Discover how Euler single-handedly increased the world’s supply of amicable numbers twenty-fold.

Archimedes in the 5th Dimension
Dan Kalman

Relating the volume of a sphere to cylinders, cones, and other geometric objects in three and five dimensions.

An Interview with Sir Issac Newton
H.W. "Chuck" Straley

The real story of Newton’s life, passions, and confrontations.

A Rational Approach to Trigonometry
N.J. Wildberger

An intriguing and innovative twist on a classic subject.

Mathematical Sudoku
William Lindgren

Reflections on Spheres
Annalisa Crannell and Martina Mincheva

Exploring M.C. Esher’s three-dimensional world through the lens of his reflecting sphere etchings.

Book Reviews
Diana Davis and Natalya St. Clair

Students review Euler: Master of Us all  by William Dunham and Conics by Keith Kendig.

Fascinating Fourier Series
Abhisek Ukil

Mixing Euler’s formulae and Fourier series to create a bit of pi.

From Double Takes to Double Periods
Leon Harkleroad

A surprising integral relation between a particular function and its reciprocal.

My Euler Tour
Jonathan Benefiel

See the MAA Study tour to St. Petersburg, Basel, and Berlin through the eyes of an undergraduate mathematics major.

Geometric Proliferation
Katharine Merow

A poetic tribute to Eulcid's fifth postulate.