We explain the  summation telescoping property and apply it to finding two summations.

Summation Telescoping Property

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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.

Summation Telescoping Property

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