Well, if you want a single volume encompassing all there is to say about the development of lathes and turned work across the world and all of history, I don't expect there is. The subject is just too vast! It would need to encompass great chunks of furniture and architectural history.
But there are very many books which include relevant material. Some of the earliest works about woodworking are about turning and include a historical introduction, but from a modern perspective, their coverage of contemporary practice is now historical. I'm thinking of Bergeron, Felibien and - more accessible - Holtzapffel. There are links to these in the Downloadable Books sticky.
Edited to add some details, as the sticky is suffering from link rot.
Holtzapffel's historical survey, from 1850, starts here in volume IV of his attempt at a comprehensive survey of tools, materials and techniques of turning:
https://archive.org/details/turningmech ... t/page/n25
Felibien's description of turning is much earlier - 1697 - but is in French.
It does include this nice picture:
and the relevant text starts here:
https://archive.org/details/bub_gb_DF5m ... /page/n301
Bergeron, as far as I can see, didn't cover the history, but does give a summary of turning as it was in 1816. The Internet Archive has two volumes but without pictures as far as I can see. Volume 1 is here
https://archive.org/details/manueldutou ... og/page/n4
There is of course much much more, in the world's museums and libraries.