According to the article of Hauser:

The Hironaka theorem on resolution of singularities http://www.ams.org/journals/bull/2003-40-03/S0273-0979-03-00982-0/home.html

The existence of resolution of complex analytic varieties was proven in:

Aroca, J.-M., Hironaka, H., Vicente, J.-L.: The theory of the maximal contact. Memorias Mat. Inst. Jorge Juan, Madrid 29 (1975).

Aroca, J.-M., Hironaka, H., Vicente, J.-L.: Desingularization theorems. Memorias Mat. Inst. Jorge Juan, Madrid 29 (1975).

**Question 1.** I would like to know if since then some alternative more simple proofs were found? And *especially* are there some (relatively) recent books, lecture notes or exposition articles covering this topic?

The result of Hironaka on resolution of *algebraic varieties* is now exposed pedagogically in the book of Kollar: "Lectures on resolution of singularities", but as far as I can judge (please correct me if I am wrong), Kollar does not treat the case of complex analytic varieties.

**Question 2.** Suppose I want to use this result on resolution of singularities of complex analytic varieties (and the answer to question 1 is NO). Should I cite these two articles, or cite nothing, pretending that everyone is aware of these two aricles? I have an impression that nowadays people tend not to cite these results on resolution unless they work exactly on this problem.