Left-handed electric guitar (sometimes lovingly called - lefty), is essentially a guitar designed with a left handed people in mind.
at least for a beginner, is to simply restring and flip over a right-handed instrument.
You stand just as much chance of reaching your full potential as you would with a lefty guitar. Remember that music comes from inside of you. Left handed electric guitar or otherwise.
Left-handed guitars are available in four (Bass), six and seven strings. Most notable or pioneering manufacturers are Cremona, Gibson, D'Angelico, N.Y. Epiphone. And if you want to know who sells the cheapest left handed electric guitar online, please google it with that pharase and you will find a lot of links.
Back in days when they weren't available yet on a broad level, left-handed guitarists, like Jimi Hendrix, would just restringtheir right-handed axes and then simply flip them over to play left-handed.
 
The only main difference, as far as the example above, is that since the low E string will be the longest string and the high E string will be the shortest, the sound will change, like Jimi's did.
 
By the way, if you are a right-handed player, you can achieve the same effect by restringing your left-handed guitar.
 Many iconic guitar players were left-handed - Jimi Hendrix, Paul McCartney (The Beatles), Tony Iommi (Black Sabbath),Kurt Cobain (Nirvana), list goes on.
Many left-handed guitarists choose to follow Jimi's method, instead of playing an actual left-handed guitar, which is a matter of taste.
Nowadays, there is a better variety of left-handed guitars out there, offered by many guitars brands, however the selection of lefties is still pretty limited. Unfortunately, there are not too many lefty chord books available either.