What are 2 other books that talk about the main topics that Stephan Greenblatt talks about in his book The Swerve?

The Swerve is sort of two books (a number of reviewers have actually said that they liked one but not the other).

The first is a story, a riveting narrative account of the preservation of the works of Lucretius by Poggio Bracciolini in the 15th century. While it embellishes the story with many details we don't actually know, the basic account is uncontroversial and Greenblatt tells the story in a very compelling way.

The second is an argument, that the works of Lucretius were instrumental in creating the Renaissance, and in particular that the way Lucretius advances reason over faith (which he certainly does) was a vital component without which the Renaissance might never have happened.

There are a lot of books that are relevant to this second part, the argument as to what caused the Renaissance and the importance of the shift from faith to reason. I've linked three, which cover the spectrum of views.

The first, The Renaissance (Universal History) by Paul Johnson, is a mainstream account of the history of the Renaissance that mostly takes the same side as Greenblatt, arguing that the weakening of the Catholic Church and the expansion of rationalist ideals was vital in making the Renaissance what it was. (It doesn't really support the claim that Lucretius in particular was so important, however.)

The second, Renaissance: The Power of the Gospel However Dark the Times by Os Guinness, takes a diametrically opposed view, claiming that it was in fact Christian religion that created the Renaissance, with reason and faith working together or even faith more important than reason.

The third, Faith in the Age of Reason by Jonathan Hill, takes a more intermediate view, arguing for a positive role of both faith and reason in creating the Renaissance and subsequently the Enlightenment.