
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 contents of the following videos are based on Reference 1. Part 1 Part 2 Part 3 Part 4 References [1] e, The…

Irrational Numbers
Are rational numbers the only numbers? The continuity of real numbers is an assumption in the CantorDedekind axiom [1]. The idea of continuity brings up the possibility of a different type of number called an irrational number that is, simply, not a rational number. So, if a number is not a rational number, it is…

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, by means of any suitable process of construction, we can form successively a first, a second, a third, … (rational) number and…

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 of rational numbers, i.e. of numbers integral and fractional, positive and negative, including zero.” There is a brief mention that the rational…