The Art of Computing Loop Integrals
  A perturbative approach to quantum field theory involves the computation of loop integrals, as soon as one goes beyond the leading term in the perturbative expansion. First I review standard techniques for the computation of loop integrals. In a second part I discuss more advanced algorithms. For these algorithms algebraic methods play an important role. A special section is devoted to multiple polylogarithms.   I tried to make these notes self-contained and accessible both to physicists and mathematicians. 
Stefan Weinzierl