Hipparchus explains how two numbers can describe the position of a point on a sphere. He then explains stereographic projection: how can one draw a picture of the Earth on a piece of paper?

Dimension 2

The Is All about Math videoPodCast we are dedicated to provide short instructional videos on Mathematics. In these video lectures we handle multiple areas of mathematics. These videos will be useful for teachers and students at many levels.

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Pi, the most famous mathematical constant.

Mathematician Bernhard Riemann explains the importance of proofs in mathematics. He proves a theorem on stereographic projection.

Proof

The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.

Fibration continued

Fibration

Mathematician Adrien Douady explains complex numbers. The square root of negative numbers is explained in simple terms. Transforming the plane, deforming pictures, creating fractal images.

Dimension 2

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