subject with the hairiest calculations?

fourier jr

some antiderivatives (partial fractions, trig sub, etc) can be nightmares to compute, but I remember series solutions of differential equations being worse, especially if finding the radius of convergence is included. can anyone think of things that are worse to calculate?

thrillhouse86

Any Asymptotic approximation solutions - especially boundary layer theory problems

lurflurf

Asymptodic approximation is (or was befor cas) a good canidate as Newton told Machin that "his head never ached but with his studies on the moon.". Topology has horrible calculations.

fourier jr

i can imagine that... looks like to get an asymptotic expansion you usually integrate by parts over & over.