Beautiful, simple, exact, crazy: mathematics in the real world

Algebra : the art and craft of computation

Velocity : on the road

Acceleration : after the apple falls

Irrational : the golden mean and other roots

Exponents : how much would you pay for the island of Manhattan?

Logarithms I : money grows on trees, but it takes time

Logarithms II : rescaling the world

e : the queen of growth and decay

Finite series : summing up your mortgage, geometrically

Infinite series : fractals and the myth of forever

Estimation : what is your first guess?

Modular arithmetic I : around the clock and the calendar

Modular arithmetic II : how to keep (and break) secrets

Probability : dice, coins, cards, and winning streaks

Permutations and combinations : counting your choices

Bayes' law : how to win a car... or a goat

Statistics : Babe Ruth and Barry Bonds

Regression : chasing connections in big data.