Ada Lovelace’s 1843 notes on Charles Babbage’s proposed Analytical Engine described a method for calculating Bernoulli numbers and explored how the machine might operate on symbols representing things other than quantities.
The published sequence of operations underlies her frequent description as the first computer programmer. Historians debate that designation and the extent and originality of her contribution to work developed in close collaboration with Babbage.
Mathematical education and Babbage’s machines
Born Augusta Ada Byron in 1815, Lovelace was the daughter of the poet Lord Byron and Annabella Milbanke. Her parents separated shortly after her birth. Her mother encouraged her studies, and private tutors provided an education that included mathematics and science, unusual for a woman of her period.
Her early interests also included mechanics. At around age 12, she studied flight and developed ideas for a flying machine.
Lovelace met Babbage in 1833, when she was 17, and saw a demonstration of a small working section of his Difference Engine. That machine was intended to automate the calculation of mathematical tables. Their later collaboration concerned his more ambitious Analytical Engine, designed to carry out a much wider range of mathematical operations.
The translation and notes
In 1843, Lovelace published an English translation of a paper about the Analytical Engine by Italian engineer Luigi Menabrea. His paper had originally appeared in French in 1842. She added extensive notes explaining the design and discussing its possible applications.
In Note G, Lovelace set out a sequence of instructions for computing Bernoulli numbers. The procedure concerned Babbage’s proposed machine. Its historical significance rests on the published description of those operations; the first-programmer designation also raises questions about the definition of a computer program and the collaborators’ respective contributions.
Her notes distinguished between the operations the engine would perform and the numerical data on which it would act. Cards would specify the operations and their order, while the numerical values would be supplied separately. The same instructions could therefore be applied to different values.
Lovelace also considered whether the engine might work with things other than numbers representing quantities. In Note A, she proposed that it might compose music if the relationships between pitched sounds could be expressed in a form compatible with its operations and mechanism. This was a conditional proposal about the design’s potential.
Lovelace wrote: “The Analytical Engine weaves algebraic patterns just as the Jacquard loom weaves flowers and leaves.” The comparison connected the engine’s rule-based operations with the patterned output of a loom.
Family life and later recognition
Lovelace married William King, later Earl of Lovelace, and had three children. She interrupted her mathematical studies for marriage and motherhood, resuming them when family responsibilities allowed. She died in 1852.
Interest in her work expanded in the twentieth century as computing developed and its history attracted greater attention. The programming language Ada was named in her honor.


