To call Flattening the Earth a detailed history of map projections is akin to calling a dictionary a list of words.
Flattening the Earth is almost certainly the most exhaustive, detail packed, well written, and well illustrated compendium of information on the origin and use of map projections ever published.
Some distort angles, some distort areas, some are intentionally distorted to represent data while maintaining topology.
Synder is one of several definitive "the map guy" candidates: https://en.wikipedia.org/wiki/John_P._Snyder
Chatty, detailed, authorative: Flattening the earth: two thousand years of map projections. Snyder, John P. (1993) https://annas-archive.org/isbn/9780226767475
( ~ review https://cartographicperspectives.org/index.php/journal/artic... )Technical: Map projections: A working manual https://pubs.usgs.gov/publication/pp1395
Free USGS download (397 pages): https://pubs.usgs.gov/pp/1395/report.pdf
Properties & Uses of Selected Map Projections Wall Chart: https://pubs.usgs.gov/pp/1395/plate-1.pdf