Ada Lovelace’s mum guided Ada from an early age into mathematics and science, partly as a way to keep her away from literature, the domain in which Ada’s father, the poet Lord Byron, excelled. The problem was that Ada’s mum and dad had divorced not long after she was born and her mother, a mathematician, believed Byron was mad. She wanted to help keep her daughter from the madness.
That mathematical background was one of the factors that led to Ada Lovelace becoming basically the first computer programmer with her ideas for Charles Babbage’s only partially constructed Difference Analytical Engine. Sixty Symbols explains in the 8 minute video below.
SciShow weighs in with this 3.5 minute video.
The BBC though did a full-length documentary about her life.
Beyond ‘just’ creating a program though, Ada Lovelace was a visionary, seeing the possibilities that a computer could offer.
The BBC documentary is fascinating — I recommend it.