The concept of infinity puzzled mathematics for millennia and it wasn’t until the nineteenth/twentieth century that it was properly understood. In this workshop we shall investigate infinity from a variety of points of view.
PRIMARY: numbers for counting and the order of natural numbers. Large and very large numbers,
examples leading to large numbers. We introduce the idea of proof.
SECONDARY: plus Zeno’s paradox. Geometric series, convergence, harmonic series, divergence. Snowflake curve.
SIXTH FROM: plus conditionally convergent series, Riemann’s method. Paradoxes of the infinite. Cantor’s counting of rational numbers.
Copyright Maths Discovery 2015