INTRODUCTION TO MATHS

Erdösese - or do you fancy inventing your own language?

NUMBER

Irrational numbers and whey they are so. Proof that is irrational

Decimals and fractions, the infinity and infinitely small. Zeno's paradoxes

NUMBER OPERATIONS

Napier's rods

GEOMETRY

Euclid, Euclidean and non-Euclidean geometries

Archimedes' formulae for calculating the volume of a sphere and a cylinder

Coordinate system in descriptive geometry, and its inventor

Graph Theory - Königsbeg bridges

Four colour theorem

Circle geometry

TRIGONOMETRY

Pythagoras' theorem - calculations, problems, and constructions

Pythagoras and his brotherhood

ALGEBRA

Fermat's Last Theorem and its link with Pythagoras' theorem

Diophantine equations and the link with Euclidean algorithm

Some famous numbers and sequences

Descartes and his coordinate system

LOGIC

Paradox - Epiminides' Paradox

Binary - Boole and his algebra