22 JAN 2014 by ideonexus

 Beauty is More Important than Accuracy

I think that there is a moral to this story, namely that it is more important to have beauty in one's equations than to have them fit experiment. If Schroedinger had been more confident of his work, he could have published it some months earlier, and he could have published a more accurate equation .... It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress. If there is not complete ...
Folksonomies: mathematics beauty reality
Folksonomies: mathematics beauty reality
  1  notes

Interesting argument: beauty in an equation is more important than having it completely fit the reality.

19 JAN 2012 by ideonexus

 Mathematics as Magic

Who ... is not familiar with Maxwell's memoirs on his dynamical theory of gases? ... from one side enter the equations of state; from the other side, the equations of motion in a central field. Ever higher soars the chaos of formulae. Suddenly we hear, as from kettle drums, the four beats 'put n=5.' The evil spirit v vanishes; and ... that which had seemed insuperable has been overcome as if by a stroke of magic ... One result after another follows in quick succession till at last ... we arri...
Folksonomies: wonder mathematics
Folksonomies: wonder mathematics
  1  notes

Ludwig Bolzmann describes working through Maxwell's dynamical theory of gases.