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Untangling the Tale of Ada Lovelace—Stephen Wolfram Blog(New York Public Library)Ada Lovelace was born 2. To some she is a great hero in the history of computing; to others an overestimated minor figure. I’ve been curious for a long time what the real story is. And in preparation for her bicentennial, I decided to try to solve what for me has always been the “mystery of Ada”. It was much harder than I expected.

Historians disagree. The personalities in the story are hard to read. The technology is difficult to understand. The whole story is entwined with the customs of 1.

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British high society. And there’s a surprising amount of misinformation and misinterpretation out there. But after quite a bit of research—including going to see many original documents—I feel like I’ve finally gotten to know Ada Lovelace, and gotten a grasp on her story. In some ways it’s an ennobling and inspiring story; in some ways it’s frustrating and tragic. It’s a complex story, and to understand it, we’ll have to start by going over quite a lot of facts and narrative.

This essay is in Idea Makers: Personal Perspectives on the Lives & Ideas of Some Notable People »The Early Life of Ada. Let’s begin at the beginning. Ada Byron, as she was then called, was born in London on December 1. Her father, Lord Byron (George Gordon Byron) was 2.

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England for his poetry. Her mother, Annabella Milbanke, was a 2. Baroness Wentworth. Her father said he gave her the name “Ada” because “It is short, ancient, vocalic”. Ada’s parents were something of a study in opposites. Byron had a wild life—and became perhaps the top “bad boy” of the 1.

In addition to writing poetry and flouting the social norms of his time, he was often doing the unusual: keeping a tame bear in his college rooms in Cambridge, living it up with poets in Italy and “five peacocks on the grand staircase”, writing a grammar book of Armenian, and—had he not died too soon—leading troops in the Greek war of independence (as celebrated by a big statue in Athens), despite having no military training whatsoever. Annabella Milbanke was an educated, religious and rather proper woman, interested in reform and good works, and nicknamed by Byron “Princess of Parallelograms”. Her very brief marriage to Byron fell apart when Ada was just 5 weeks old, and Ada never saw Byron again (though he kept a picture of her on his desk and famously mentioned her in his poetry). He died at the age of 3.

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Ada was 8. There was enough scandal around him to fuel hundreds of books, and the PR battle between the supporters of Lady Byron (as Ada’s mother styled herself) and of him lasted a century or more. Ada led an isolated childhood on her mother’s rented country estates, with governesses and tutors and her pet cat, Mrs. Puff. Her mother, often absent for various (quite wacky) health cures, enforced a system of education for Ada that involved long hours of study and exercises in self control.

Ada learned history, literature, languages, geography, music, chemistry, sewing, shorthand and mathematics (taught in part through experiential methods) to the level of elementary geometry and algebra. When Ada was 1. 1, she went with her mother and an entourage on a year- long tour of Europe. When she returned she was enthusiastically doing things like studying what she called “flyology”—and imagining how to mimic bird flight with steam- powered machines. But then she got sick with measles (and perhaps encephalitis)—and ended up bedridden and in poor health for 3 years. She finally recovered in time to follow the custom for society girls of the period: on turning 1. London for a season of socializing.

On June 5, 1. 83. Court” (i. e. met the king), she went to a party at the house of 4. Charles Babbage (whose oldest son was the same age as Ada). Apparently she charmed the host, and he invited her and her mother to come back for a demonstration of his newly constructed Difference Engine: a 2- foot- high hand- cranked contraption with 2. Science Museum in London: Ada’s mother called it a “thinking machine”, and reported that it “raised several Nos.

Quadratic Equation”. It would change the course of Ada’s life. Charles Babbage. What was the story of Charles Babbage? His father was an enterprising and successful (if personally distant) goldsmith and banker. After various schools and tutors, Babbage went to Cambridge to study mathematics, but soon was intent on modernizing the way mathematics was done there, and with his lifelong friends John Herschel (son of the discoverer of Uranus) and George Peacock (later a pioneer in abstract algebra), founded the Analytical Society (which later became the Cambridge Philosophical Society) to push for reforms like replacing Newton’s (“British”) dot- based notation for calculus with Leibniz’s (“Continental”) function- based one. Babbage graduated from Cambridge in 1.

Ada Lovelace was born), went to live in London with his new wife, and started establishing himself on the London scientific and social scene. He didn’t have a job as such, but gave public lectures on astronomy and wrote respectable if unspectacular papers about various mathematical topics (functional equations, continued products, number theory, etc.)—and was supported, if modestly, by his father and his wife’s family.

In 1. 81. 9 Babbage visited France, and learned about the large- scale government project there to make logarithm and trigonometry tables. Mathematical tables were of considerable military and commercial significance in those days, being used across science, engineering and finance, as well as in areas like navigation.

It was often claimed that errors in tables could make ships run aground or bridges collapse. Back in England, Babbage and Herschel started a project to produce tables for their new Astronomical Society, and it was in the effort to check these tables that Babbage is said to have exclaimed, “I wish to God these tables had been made by steam!”—and began his lifelong effort to mechanize the production of tables. State of the Art. There were mechanical calculators long before Babbage. Pascal made one in 1. But in Babbage’s day such machines were still just curiosities, not reliable enough for everyday practical use. Tables were made by human computers, with the work divided across a team, and the lowest- level computations being based on evaluating polynomials (say from series expansions) using the method of differences.

What Babbage imagined is that there could be a machine—a Difference Engine—that could be set up to compute any polynomial up to a certain degree using the method of differences, and then automatically step through values and print the results, taking humans and their propensity for errors entirely out of the loop.(Museum of the History of Science)By early 1. Babbage was busy studying different types of machinery, and producing plans and prototypes of what the Difference Engine could be. The Astronomical Society he’d co- founded awarded him a medal for the idea, and in 1. British government agreed to provide funding for the construction of such an engine.

Babbage was slightly distracted in 1. But he set up a workshop in his stable (his “garage”), and kept on having ideas about the Difference Engine and how its components could be made with the tools of his time. In 1. 82. 7, Babbage’s table of logarithms—computed by hand—was finally finished, and would be reprinted for nearly 1. Babbage had them printed on yellow paper on the theory that this would minimize user error.

When I was in elementary school, logarithm tables were still the fast way to do multiplication.)Also in 1. Babbage’s father died, leaving him about £1. K, or perhaps $1.

Babbage financially for the rest of his life. The same year, though, his wife died. She had had eight children with him, but only three survived to adulthood.