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.
There is also a companion blog site and there we present topics of interest at
blog.isallaboutmath.com
For suggestions please write to Mathinfo
Dimension II Trailer
More in the near future. Stay tuned!
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, deforming pictures, creating fractal images.
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.
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!
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!
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 picture of the Earth on a piece of paper?
Are you Having Phun yet?:
Introduction to Phun. The new entertaining and extreme fun eductional computer program. Using Phun to explain Math.
Weaving Numbers:
Vedic multiplication or weaving multiplication. Fibonacci's Sieve or Lattice
Multiplication. John Napier's Bones multiplication.
The Well Ordering
Principle:
Proving The Well Ordering Principle is equivalent to The Principle of Mathematical
Induction.
Mathematical Induction (Part
III):
Principle of Strong Mathematical Induction. Fermat's Method of infinite descent.
Well Ordering Principle.
Mathematical Induction (Part
II):
Prove Inequality using the Method of Mathematical Induction.
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.
Summation Telescoping Property:
We explain the summation telescoping property and apply it to finding two summations.
It's all Greek to me! Sigma notation:
Sigma Notation. Tetrahedral numbers. Pyramidal Numbers. Some relations between them.
Triangular Numbers (Part III):
Recursive Relation for triangular numbers. Finding a solution to the recursive equation
and another solution to the Recursive equation.
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 I):
Elementary explanation of triangular numbers and Gauss demonstration for the sum
of the first 100 natural numbers.
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Future lectures Video Podcasts:
Possible list of lectures or topics for the future.
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