There are umpteen books, tapes, videos, and teachers for folks who want to learn to play acoustic mandolin. I wish I could say the same for the electric. Below are the resources I have been able to track down so far. I haven't personally checked these out, but I hear nothing but rave reviews from those who have.
1. THE ELECTRIC MANDOLIN
by Niles Hokkanen & Richard Thompson
2 books (144 pages) / 2 cassettes (2.5 hrs.)
Ahead of its time when it was published in 1983, this method examines the techniques and vocabulary of electric guitar playing and adapts those to the electric (and acoustic) mandolin. Co-written by the Richard Thompson of Fairport Convention fame, one of the most expressive guitarists to ever come out of Great Britain.
A wide variety of topics are covered and explained in the method, including:
and more...Even if you don't have an electric mandolin, but are an intermediate+ acoustic mandolinist, there's more than enough material which can be played on the acoustic. You may not be able to play all those string-bending licks (using string bends), but you can use hammer-ons and pull-offs instead. Electric guitarists use different phrasing, vocabulary, and techniques than "traditional" mandolin players, but you can incorporate these elements into your mando playing to sound more convincing in genres such as blues, rockabilly, honky-tonk, and rock, as well as spicing up your bluegrass.
This book is out of print.
2. HOT MANDOLIN STYLES
by Joe Carr
On this videotape, Carr teaches the "hot jazz" style of mandolin. To help you develop your chops for some great swing and jazz mandolin solos, Joe covers several jazz standards in the style of Johnny Gimble and Tiny Moore. Joe shows licks, scales, and solo development ideas for the standard mandolin and also for the five-string electric mandolin. Available from Elderly Instruments in Michigan.
3. TAKE IT ON HOME NOW
by Rich DelGrosso
In this monthly column for Blues Revue, Rich covers blues guitar and mandolin techniques as used by such players as Yank Rachell and Johnny Young. He also writes for Mandolin Magazine.
by Tiny Moore
Forty-eight pages with 14 tunes, as well as licks and exercises. I've heard this is a great book—but, sadly, it's out of print. Good luck finding one.