Kronecker
Kronecker, God and the Integers
Natural numbers were created by God, everything else is the work of men — Kronecker (1823–1891).
Number Theory
Number Theory
Perfect Numbers
An ancient riddle
Prime Numbers
The Goldbach Conjecture
An Equivalent Formulation of an Unsolved Mystery
Number Theory
The Euler Totient Function
A Probabilistic Approach
Number Theory
Transcendental Numbers
Into the Unknown
Riemann Hypothesis
A Fun Proof of the Riemann Hypothesis
Real math about a fictional object.
Number Theory
The Euler-Mascheroni Constant
Remember the harmonic series? More often than not, it serves as one’s first encounter with a series wherein individual terms diminish successively yet the series diverges to infinity. The below quote nicely sums the up notoriousness of the harmonic series: Today I said to my calculus students, “I know,
Euler
The Most Beautiful Equation in the World
And the Geometry of Numbers
Babylonian
A Modern Look at Square Roots in the Babylonian Way
Revisiting the Babylonian method for square roots: why and how does it work?
Philosophy
Professor E. Brian Davies’s Mathematical Empiricism
This commentary is on the relevant parts of Davies’s book, Science in the Looking Glass. The following is not a book review.
Ramanujan
It’s Time for a Breakdown (of Numbers)
Now it’s time for a breakdown… (cue En Vogue’s My Lovin’ (You’re Never Gonna Get It)) In particular, a breakdown of numbers!
Pi
A slice of π
π is ubiquitous both in mathematics and physics. Its appearance in some contexts are intuitive to grasp. Others require intellectual contortion, a mind-bending that defies all intuition.