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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Irrational Numbers

Are rational numbers the only numbers? The continuity of real numbers is an assumption in the Cantor-Dedekind axiom [1]. The idea of continuity brings up the possibility of a different type of number…

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Definition of a Sequence

The title of Section 2 in book [1] is Sequences of rational numbers. At the beginning of this section, a definition is provided for a sequence, and I quote it here. Definition. If,…

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Fundamental Laws of Arithmetic

Here is a continuation of this post. Long story short, I am learning number theory from a book [1]. The author of this book [1] begins his own analysis of number theory with the “system…

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