Human Numerical Methods

Or: I thought about calling this “Humerical Methods”, but there’s nothing funny here.
My girlfriend and I recently went on vacation to Germany. Distant relatives of mine (Wolfgang and Birgit), agreed to host us for a few days, which turned out to be a great break from cheap hostels.
One day, Wolfgang tells us that they are [...]

How Important are Computers in Mathematics?

“The use of a program to prove the 4-color theorem will not change mathematics – it merely demonstrates that the theorem, a challenge for a century, is probably not important to mathematics.”~ From “Epigrams in Programming” by Alan J. Perlis
It’s hard to agree or disagree with this quote.
On one hand, results in mathematics often end [...]

Approximating Euler’s Constant From Scratch

Or: Calculus You Will Use Either Every Day or Never
Approximating Constants
We will be calculating Euler’s constant, e, by starting off close to the correct value, and then moving closer and closer until we get to the correct value. This is known as approximation.
There are a few different ways to do this. A few are listed [...]