If you're into this stuff, Conquest of Peru (1847) by William Prescott is surprisingly readable and vivid. In case you worry that an old book won't be accurate, basically paragraph is backed up with a footnote giving long primary source quotes in the original Spanish. If you just read the footnotes it's like you're getting a well-paced spliced together first-hand account.

Some things I remember from the book that don't make it into this article:

- The Inca empire was essentially a top-down command economy. Everything down to individual people's jobs was managed centrally from Cuzco.

- Pizarro's translator was from a native tribe that was recently conquered by the Inca, and he hated the Inca himself. It's possible that he translated things in an intentionally adversarial way at crucial junctures, like when the Spanish were deciding to execute Atahualpa.

- The official reason for executing Atahualpa was that, while in captivity, he had sent orders to have his brother Huáscar executed.

- Apparently Atahualpa was amazed to discover that he could write marks on a piece of paper, show it to to Spaniards like de Soto, and they would all be able to read out exactly the same words. He tried the trick with Pizarro but, being illiterate, Pizarro couldn't read out the text. This didn't help with the Pizarro-Atahualpa relationship.

- The account of how the battle at Cajamarca started is a little different. The Spanish sent out a priest who gave a long confusing monologue to Atahualpa about the death of Jesus, the nature of the Trinity, the immaculate conception of Mary, and other deep-cut theology, then handed him a Bible. Atahualpa was basically like "why would you worship a guy who was executed as a criminal" and didn't have any idea what to do with the Bible (or any book). Then the Spanish ambushed him.