Proof
Mathematician Bernhard Riemann explains the importance of proofs in mathematics. He proves a theorem on stereographic projection.
Fibration continued
The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.
Fibration
The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.
Complex Numbers continued
Mathematician Adrien Douady explains complex numbers. The square root of negative numbers is explained in simple terms. Transforming the plane, deform...
Complex Numbers
Mathematician Adrien Douady explains complex numbers. The square root of negative numbers is explained in simple terms. Transforming the plane, deform...
The fourth dimension continued
Mathematician Ludwig Schläfli talks to us about objects in the fourth dimension and shows us a procession of regular polyhedra in dimension 4, strange...
The fourth dimension
Mathematician Ludwig Schläfli talks to us about objects in the fourth dimension and shows us a procession of regular polyhedra in dimension 4, strange...
Dimension three
M. C. Escher tells the adventures of two-dimensional creatures who are trying to imagine three-dimensional objects.?
Dimension 2
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 pi...