I’d like to present what is probably the first new table of logarithms published this century: Russell’s Modern Logarithms [pdf].

Since accuracy is paramount in a table of logarithms, I’ve encrypted and signed the document. You should check the document against the following checksums:

- PGP: Modern_Logarithms-Stewart_C_Russell.pdf.sig
- sha1sum: 403eeb0a79656720a66224d0cc9e666ae1d329cb

Source (unsigned, unstamped: CC BY-NC-SA) now on github: scruss/Russell-s-Modern-Logarithms.

Base 10?

Boring. Try base 8.

Why? What is this for?

Logarithms are one of the important stepping-stones in mathematics. Logs –> slide rules –> calculators –> computers.

Back in the 1970’s, I had to back some very complex calculations into a very small computer. It had to fit in your pocket, and run on batteries for a week. At the time, memory was precious; we didn’t have enough for the usual floating-point add/subtract/multiply/divide routines. We wound up doing it all in fixed-point binary math, with the basic functions add/subtract/log2/antilog2. Base2 logs are fast and easy; much better than multiply and divide. 🙂

Oh, how I know this, Lee …