Don't bother with the documents listed by the last poster. I don't know what that poster's motive is but neither have anything to do with PCB design other than they both involve PCBs in one manner or another. IPC-A-610 is a guide to the inspection of printed circuit assemblies (stuffed boards), J-STD-001 is basically a soldering manual.
I would say that you want: IPC-4101, IPC-2221, IPC-2222, SM-782 &amendments 1 & 2, IPC-2615, there are a few others but I can't recall them right now.
Find out what is included in IPC-M-106, it is relatively new & I couldn't find the list of included documents. Maybe it is more than you need but at a cheaper price. Similarly IPC-M-105. Consider getting the IPC-PWB-CRT-SG01 or the CD and go for full certification. Then the advanced certification afterward.
Eventually you will want: IPC-2141, IPC-2252
You may want: A-600G - Acceptability of Printed Boards