Who is referred to as the world's first computer programmer and wrote about Babbage's machines?

The title of the world's first computer programmer is attributed to Ada Augusta, commonly known as Ada Lovelace. She is recognized for her work with Charles Babbage on his early mechanical general-purpose computer, the Analytical Engine. Lovelace wrote extensive notes on the machine, including a detailed algorithm intended to be processed by the engine, which is considered the first computer program. Her visionary insights into the potential capabilities of computers extend beyond mere number crunching, as she anticipated future uses of computers beyond mathematics, including music and art.

This makes her contributions foundational in the history of computer science, establishing her as a pioneering figure in the field. The other individuals mentioned, while immensely influential in various computing domains, are known for different milestones. Grace Hopper was instrumental in the development of early programming languages, Alan Turing is celebrated for his work in theoretical computer science and logic, and Margaret Hamilton is recognized for her role in software engineering during the Apollo missions.