I am looking for a good accessible reference that would summarize properties of zeros of complex analytic functions. 


For my purpose, it would be interesting to see a discussion on the following topics:


1. Zeros of single variable analytic function are discrete (isolated)
2. Zeros of multivariable analytic functions are not isolated
3. The set of zeros of an analytic function of $n$ variables roughly speaking lives in $n-1$ dimensional space.


I have been reading "Functional Theorem of Several Complex Variables" by Krantz. While I found the book interesting to read, I don't think that it is very accessible to a non-mathematician. Right now looking for a reference that would be more accessible to a senior Ph.D. student in engineering with a good background in single variable complex analysis. In any case, any reference on this subject that you can provide would be of great help to me. 



Zeros of Multivariate Complex Functions [need reference]
MR1111477 Chirka, E. M. Complex analytic sets. Kluwer Academic Publishers Group, Dordrecht, 1989.


