I’d like to recommend that you read a wonderful short paper by Gerald Jay Sussman and Jack Wisdom, called “The Role of Programming in the Formulation of Ideas,” which helps explain why understanding physics and the other mathematical sciences can sometimes be so difficult.
[from Nerd Wisdom]
Mathematics under the Microscope 
The coordinates in the tangent bundle denoted by the same letters as the velocity vectors of a solution of the Lagrange equations… This must be confusing, especially to those who never even heard about the tangent bundle.
By: misha on May 1, 2010
at 8:01 am