Is All About Math
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Triangular Numbers (Part I)

Elementary explanation of triangular numbers and Gauss demonstration for the sum of the first 100 natural numbers.

Triangular Numbers (Part II)

Using Gauss Idea to find the sum 1+2 + ... +n. Arithmetic progressions an obtaining a general formula for the sum of an arithmetic progression.

Triangular Numbers (Part III)

Recursive Relation for triangular numbers. Finding a solution to the recursive equation and another solution to the Recursive equation.

It's all Greek to me! Sigma notation

Sigma Notation. Tetrahedral numbers. Pyramidal Numbers. Some relations between them.

Summation Telescoping Property

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

1, 2, 3 ... Infinity. Mathematical Induction

Explain the Method of Mathematical Induction. Francesco Maurolico, Pascal and John Wallis. Applying the method of Induction to prove the sum of odd numbers is a square.

Mathematical Induction (Part II)

Prove Inequality using the Method of Mathematical Induction.

Mathematical Induction (Part III):

Principle of Strong Mathematical Induction. Fermat's Method of infinite descent. Well Ordering Principle.

The Well Ordering Principle

Proving The Well Ordering Principle is equivalent to The Principle of Mathematical Induction.

Weaving Numbers

Vedic multiplication or weaving multiplication. Fibonacci's sieve or lattice multiplication.John(Napier) 's Bones multiplication.

Are you Having Phun yet?

Introduction to Phun. The new entertaining and extreme fun eductional computer program. Using Phun to explain Math.

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 picture of the Earth on a piece of paper?

Dimension three

M. C. Escher tells the adventures of two-dimensional creatures who are trying to imagine three-dimensional objects.

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 objects with 24, 120 and even 600 faces!

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 objects with 24, 120 and even 600 faces!

Complex Numbers

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.

Complex Numbers continued

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.

Fibration

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

Fibration continued

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

Proof

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

Pi

Pi, the most famous mathematical constant.

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