Pythagoras Theorem

What is the Pythagoras theorem? It is $ a^2 + b^2 = c^2$. Here, $a$, $b$ and $c$ are the lengths of a right triangle. Note that $c$ is the hypotenuse of the…

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Discovery of the Logarithm by John Napier

Here is a short series of videos I made about the discovery of the Logarithm. John Napier is credited with the discovery of the logarithm, and Leonhard Euler developed the logarithm used today. The…

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Writing Unit Vectors for a Cartesian Coordinate System in Terms of Unit Vectors for a Spherical Coordinate System

Objective of this Post The objective of this post is to form (4) in this reference. Partial Derivatives Relating Cartesian Coordinates to Spherical Coordinates Suppose $F(x,y,z) \equiv f(x) g(y) h(z)$. In the previous post, the following…

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Absolute Value Property

In this post, I prove that $ |xy| = |x||y|$ in which $x$ is a variable for any real number and $y$ is a variable for any real number. This is done by…

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