Untangling the Tale of Ada Lovelace—Stephen Wolfram Blog
A detailed history of Babbage and Lovelace through the lens of Wolfram’s work today:
Ada seems to have understood with some clarity the traditional view of programming: that we engineer programs to do things we know how to do. But she also notes that in actually putting “the truths and the formulae of analysis” into a form amenable to the engine, “the nature of many subjects in that science are necessarily thrown into new lights, and more profoundly investigated.” In other words—as I often point out—actually programming something inevitably lets one do more exploration of it.
If this piques your interest, I highly recommend the Babbage biography The Cogwheel Brain by Doron Swade.