If you are doing EE I have assumed you can cope with a reasonable amount of maths. I've read most of the books on the market (+ many that aren't!) and most of the tech web-sites (see our links page for more details) and here is my summary.
Firstly these web-sites have a ton of useful information pertaining to guitar amps which in my opinion is of an exceptional technical standard:
www.aikenamps.comRandall Aiken really knows his stuff.
http://www.freewebs.co.uk/valvewizard/index.htmlMerlin Blencowe's excellent site. His book looks really good too, although I haven't yet read it (or indeed ordered a copy!).
For more valve related info:
http://www.pmillett.com/technical_books_online.htmTechnical books online. This site contains many of the really classic old valve texts for free download. Not one dial up though.
To be honest, you can probably find all the info you want in the above sites, however if you want to buy some books:
Valve amps, Morgan Jones.
Great book with a load of info collated together that I haven't see anywhere else, although obviously hi-fi related.
Ultimate Tone Series, Kevin O'Connor
TUT1 is the best of the series, with very good info on switching and some interesting modification ideas. However, this book is not for beginners, and I tend to find the writing style quite grating, not least as he continually slags off most amps except those made in Canada!
Tube Amp Book, by Aspen Pitman
Good for schematics (although virtually all can now be found online). Tech info variable from the good, the bad and the risible. A lot of advertorial for Groove Tubes.
Dave Funk's Tube Amp Work Book (for Fenders).
Useful info clearly presented, although some technical errors. Fender schematics, although these can be found free online.
Gerald Weber's Tube amp books.
Although Gerald Weber gets quite a lot of flak for technical errors, I quite like his books. Plenty of practical tips presented in a non-technical way. Interesting contributions from Ken Fisher.
http://www.pentodepress.com/author.htmlRichard Kuehnel's very mathematical treatise of valve guitar amps including the Fender Bassman. Thorough, although I didn't really find these that useful.
Inside Tube Amps by Dan Torres.
I can't really recommend this book due to its numerous technical errors and some quite dangerous tips.
Only flipped through Dave Hunter's book. Contributions from Mike Zaite (Dr.Z) and Andy Marshall (THD) bodes well.