Anon01/24/26, 13:07No.16898099
On the subject of complex analysis, does anyone know a book where multivariable analytic functions (analytic in the sense of local power series expansion) are treated properly? 99% of the books I've seen don't even know how to define a sum over a multiindex set N^p, never mind properly justifying something as basic as composition of multivariable power series. Only book I've seen that is decent is Dieudonne's Analysis, where he gives a satisfactory Bourbakist definition of sums over arbitrary index sets, however his chapter on analytic functions keeps filtering me, I can't quite digest parts of it. Any ideas?