4 ms·
A whole lot of the original bookkeeping/accounting was about adjudicating land boundary disputes and calculating land taxes based on area, or predicting/explain
by jacobolus 9y ago
A whole lot of the original bookkeeping/accounting was about adjudicating land boundary disputes and calculating land taxes based on area, or predicting/explaining astronomical events. In fact, the origins of both trigonometry and logarithms are in astronomy, though I’ll admit that the natural logarithm per se came from Bernoulli’s study of compound interest.
But yes, the connection between geometry and arithmetic is something people have been noticing for at least 5000 years, and is certainly important and very interesting. I just think this particular expression of that connection is oversold as being uniquely insightful or beautiful.
- eru 9y agoSure. And if anything the more general equation e^(iphi)=cos phi + i cos phi is much more useful: it allowed me to forget all the special rules we learned in school about how to manipulate the trigonometric functions and just use my knowledge of exponentials instead.