[wal5hy]

Having finished a degree in Electronics I would recommend the following two books:

* Engineering Maths by K. Stroud http://www.amazon.co.uk/Engineering-Mathematics-6th-K-Stroud... to my mind there's no better maths book, very logical step by step approach to improving maths skills by building on previous knowledge

* The Art of Electronics by Horowitz and Hall http://www.amazon.co.uk/Art-Electronics-Paul-Horowitz/dp/052... this is often referred to as the bible of electronics and acts as a great reference book (there is a circuit chip designer in my workplace who came from a physics background and taught himself electronics with this book)

[RiderOfGiraffes]

Horowitz and Hill, not Hall. It is a superb reference book, agreed, but it's not a good book to learn from, especially if you don't have the basics.

[wal5hy]

ah can't correct the spelling mistake now, thanks for spotting it.

A video I saw on a few years ago which was great for getting a fast paced over-view of how starting with digital electronics one can build a computer and write a program to work on it "From NAND to Tetris in 12 steps" http://video.google.com/videoplay?docid=7654043762021156507