Poincare, Henri - Discovering arithmetic transformations of indefinite ternary quadratic forms
Type of Spiritual Experience
A description of the experience
An Essay on the Psychology of Invention in the Mathematical Field – Jacques Hadamard
I turned my attention to the study of some arithmetical questions apparently without much success…….. Disgusted with my failure, I went to spend a few days at the seaside and thought of something else.
One morning, walking on the bluff, the idea came to me, with just the same characteristics of brevity, suddenness and immediate certainty, that the arithmetic transformations of indefinite ternary quadratic forms were identical with those of non Euclidian geometry.’
These two results showed to Poincare that there existed other fuchsian groups and consequently, other fuchsia functions than those which he had found during his sleeplessness.
The source of the experiencePoincare, Henri
Concepts, symbols and science items
Activities and commonsteps
OverloadsGoing out in violent weather
SuppressionsBeing left handed
Blindness, macular degeneration and other sight impairment
Communing with nature