Ada Lovelace – Work on the precursor of computers

For more information on the remarks, see, for example, the dedicated page of the Mathematical Association of America.
She was not allowed to study and had to teach much of her mathematical skills to herself. Partly because of these limitations, her achievements are astonishing for the time. It took not only a fair amount of self-confidence to work against convention to this degree, but also a great deal of skill and perseverance.
Again, it cannot be conclusively determined whether all of these thoughts were her own. Nevertheless, even if none of the thoughts were her own, the notes do presuppose a fundamental understanding of the machine. Moreover, the fact that Babbage asked her for her notes shows his confidence in her ability.

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