/sci/ - Science & Math

Working through Stein and Shakarchi and came upon this.

Why is there normally the obsession with bounding quantities with a clean epsilon at the end of the proof, at the expense of cluttering up the rest of the proof with wonky epsilon expressions?

It’s so much nicer to use plain epsilons throughout the proof—especially when the final bound, even if not pure epsilon, is so obviously dependent entirely upon epsilon.