What it says on the tin. Hopefully something that offers some context leading to their existence, the effect they had and the legacy they left, and maybe some contrasting examples of similar movements elsewhere or in the future? Thank you.
The 'ultimate' (?) book on the subject may well be EP Thompson's classic The Making of the English Working Class.
The book is enormous. Somewhere around 1000 pp. Thompson is a man of the left and it shows -- hell, it's the point of the book. The conclusions are at least a little dated (book is from the early '60s.) But it is a magisterial achievement in social history. Perhaps even the origin point for the discipline, but that's a subject of debate.
Your Luddites will appear in grand context with all the rest of the cast. Nearly every small laboring- or working class organization will get a good discussion.
TMotEWC spawned a genre and, IMO, should be read cover-to-cover by anyone at all interested in such things. It is eminently readable, requires little to no academic jargon (Thompson rejected such things,) and will thoroughly educate the reader.
I'm currently doing a historical book review for my college history class on "The Luddite Rebellion" by Brian Bailey.
It gives the reader a comprehensive, chronological narrative of the accounts that transpired leading up to, during, and directly after the Luddite rebellion. It also poses questions such as who the luddites were, who their leaders were, how organized, and did they have a political agenda. The text itself is only 153 pages not including the introduction and preface. You won't find a better work than this which covers this group of people so thoroughly without killing yourself over a 1000 page book