Part 1 introduces the topic and the Origin of Mathematics in ancient Civilisations, Beginning in Ancient Egypt & the introduction of measurement, numerical recording, multiplication & Fractions and mathematically explains the Eye of Horus (continued in the following part).

Part 2 continues in Ancient Egypt & the introduction of measurement & numerical recording, explaining the Geometric Series in the Eye of Horus, the Golden Ratio (Fibbonacci) & the Pythagoras Triangle Theorem in Pyramid building. It then continues to Damascus to look at Ancient Babylon and the introduction of number systems, the power of 60 & its impact on time and space measurement, the invention of the number 0 (zero "note, the Mayas also invented this") & quadratic equations (squaring).

Part 3 continues in Babylon, looking at quadratic equations (squaring), the introduction into symetrical shapes, right-angle triangles & square roots, before continuing into Mesopotamia & the Ancient Greeks to explain Deduction and the "Power of Proof", as exemplified by the "School of Pythagoras" and Triangular Squaring & Musical Harmonics (continued in the following part).

Part 4 continues in Ancient Greece and the School of Pythagoras, explaining Musical Harmonics, before looking at Hypassus and the discovery of Irrational Numbers, Plato, Geometry & the Platonic Solids, before retuning to Alexandria in Egypt to look at Euclid and "The Elements" and the introduction of Axioms.

The final part of this Episode (5 of 5) concludes in Alexandria with Euclidian Elements & Archimedes, explaining Geometric Applications, Pi, Solid Volumes, Circle & Sphere Measurement, before introducing the following Episode (2), "The Far East".
 

In this one-off documentary, David Malone looks at four brilliant mathematicians - Georg Cantor, Ludwig Boltzmann, Kurt Gödel and Alan Turing - whose genius has profoundly affected us, but which tragically drove them insane and eventually led to them all committing suicide.