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Dimensions: a walk through mathematics: Season 1
July 18, 2008
9 Episodes
~15 min per episode
Overview
Nine chapters, two hours of maths, that take you gradually up to the fourth dimension. Mathematical vertigo guaranteed!
Episodes
9
1
Dimension Two
Jul 18, 2008
15 min
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?
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2
Dimension Three
Jul 25, 2008
15 min
M. C. Escher tells the adventures of two-dimensional creatures who are trying to imagine three-dimensional objects.
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3
The fourth dimension (1)
Aug 1, 2008
15 min
Mathematician Ludwig Schläfli talks to us about objects in the fourth dimension and shows us a procession of regular polyhedra in dimension 4, strange objects with 24, 120 and even 600 faces!
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4
The fourth dimension (2)
Aug 8, 2008
15 min
Mathematician Ludwig Schläfli talks to us about objects in the fourth dimension and shows us a procession of regular polyhedra in dimension 4, strange objects with 24, 120 and even 600 faces!
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5
Complex Numbers (1)
Aug 15, 2008
15 min
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.
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6
Complex Numbers (2)
Aug 22, 2008
15 min
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.
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7
Fibration (1)
Aug 29, 2008
15 min
The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.
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8
Fibration (2)
Sep 5, 2008
15 min
The mathematician Heinz Hopf describes his "fibration". Using complex numbers he builds beautiful arrangements of circles in space.
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9
Proof
Sep 12, 2008
15 min
Mathematician Bernhard Riemann explains the importance of proofs in mathematics. He proves a theorem on stereographic projection.
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