She WAS. She has been dead for over 150 years.
She worked with Charles Babbage, the inventor of the first multi purpose computer, and she is believed to be the first computer programmer.
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Yes, Ada Lovelace is considered to be a mathematician. She is often regarded as the world's first computer programmer for her work on Charles Babbage's Analytical Engine, where she developed an algorithm that could be programmed into the machine. Lovelace's contributions to the field of mathematics and computing have had a lasting impact.