Collecting references to Euler’s equation: A “Discovery Page.”

Please Note:  This page was initiated on April 12, 2018 as a duplicate of our page on exponentiation. Over time the two will be greatly differentiated. This page will focus on Euler, his life, his influence, and his equations. The page on exponentiation will attempt to determine if multiplication is more fundamental than addition, i.e. how exponentiation is the fundamental dynamic that gives rise to the first space-time moment.


It has all the five constants and the addition, multiplication, and exponentiation operators.

A Tribute to Euler, William Dunham  (YouTube)

By applying base-2 exponentiation alongside the Planck base units, ostensibly multiplying each unit of length, time, mass and charge by 2, and the results by 2, over and over again, in 202 notations you have an ordered set from the first moment in time to the current time. Might that nonlinear progression give Euler’s identity a rather key place in the grand scheme of things?

That chart is here:

Key Questions

  1. Why is Euler’s identity considered so miraculous and beautiful?
  2. How fundamental is Euler’s identity, really?
  3. Why are e and π so common as results of seemingly unrelated fields?
  4. Has anyone talked themselves into understanding Euler’s identity a bit?
  5. Why are e and π so common as results of seemingly unrelated fields?
  6. Am I wrong in thinking that e, π, 1 — eiπ=−1 is hardly remarkable?
  7. Is it possible to intuitively explain, how the three irrational numbers, e, i and π are related?
  8. What could the ratio of two sides of a triangle possibly have to do with exponential functions?
  9. Factorial in power series; intuitive/combinatorial interpretation?
  10. How fundamental is Euler’s identity, really?