I've just begun working on my bachelor thesis on the "Lefschetz Theorem on Hyperplane Sections" (see for example http://en.wikipedia.org/wiki/Lefschetz_hyperplane_theorem). The goal of the thesis is to explain Andreotti and Frankel's proof of the theorem.
My only reference so far is the book "Morse Theory" (1973) by J. Milnor of which only the first 42 pages are of interest to me. However I'm struggling a lot with the actual proof of the Lefschetz hyperplane theorem in the way it is presented there.
Can anyone please refer me to some other material on this subject?
In Milnor's book the original paper by S. Lefschetz from 1924 and the paper by A. Andreotti and T. Frankel from 1959 are also mentioned. However I doubt that these will be of much help to me. Mainly because in the first, Lefschetz's original proof is stated which is of no (significant) interest to my thesis and as the latter one is an academic paper just 3 or 4 pages in length, I assume that the presentation of the proof there is even more condensed than in Milnor's book.
I've also found some references on the Wikipedia site (http://en.wikipedia.org/wiki/Lefschetz_hyperplane_theorem#References) but I've got no idea which of these books might be suitable for me. Please bear in mind that I'm a third year mathematics student with no significant knowledge in differential and algebraic geometry nor differential topology.
Thanks in advance for any suggestions!