- How does a computer/calculator compute logarithms? (zachartrand.github.io)
There are many functions on a scientific or graphing calculator that we are introduced to as high school students that, we are told, just work. You select the function, put in the value that you need to calculate, hit “=” or “ENTER”, and SHABAM! You have the correct answer to some arbitrary number of digits that you are ensured are all 100% accurate.
- The Lost Art of Logarithms (lostartoflogarithms.com)
An online book-in-progress by Charles Petzold wherein is explored the utility, history, and ubiquity of that marvelous invention, logarithms including what the hell they are; with some demonstrations of their primary historical application in plane and spherical trigonometry.
- Kurt Gödel (plato.standford.edu)
Kurt Friedrich Gödel (b. 1906, d. 1978) was one of the principal founders of the modern, metamathematical era in mathematical logic. He is widely known for his Incompleteness Theorems, which are among the handful of landmark theorems in twentieth century mathematics, but his work touched every field of mathematical logic, if it was not in most cases their original stimulus. In his philosophical work Gödel formulated and defended mathematical Platonism, the view that mathematics is a descriptive science, or alternatively the view that the concept of mathematical truth is objective. On the basis of that viewpoint he laid the foundation for the program of conceptual analysis within set theory (see below). He adhered to Hilbert’s “original rationalistic conception” in mathematics (as he called it); and he was prophetic in anticipating and emphasizing the importance of large cardinals in set theory before their importance became clear.
- Triangle of Power Notation and Logarithms (mathcenter.oxford.emory.edu)
When it comes to the relationship ab=c, we have examined how c can be thought of as a combination of a and b. We have also considered the implications of thinking of a as a combination of b and c. There is one more possible combination we could contemplate – what happens if we view b as a combination of a and c?
- Logarithm (Wikipedia)
In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 10^3, the logarithm base 10 of 1000 is 3, or log10 (1000) = 3. The logarithm of x to base b is denoted as logb (x), or without parentheses, logb x, or even without the explicit base, log x, when no confusion is possible, or when the base does not matter such as in big O notation.