Caroline Herschel (1750-1848) is noted for her scientific annals in astronomy more than for her mathematical knowledge. Yet, while her accomplishments were heralded in astronomy, Herschel deserves recognition in both fields. She never received formal mathematical training, which only serves to accent the dimension of her accomplishments and determination.

Caroline Lucretia Herschel was born on March 16, 1750 in Hanover, Germany. She was a homely child who received little love and encouragement from her mother. Her father, Isaac Herschel, was a musician in the Hanoverian Guard. He encouraged her to obtain an education. She was, as he kept telling her, so homely and without money, no one would marry her until she was older and had more character. Herschel was a literate young woman, but did not receive a formal education. At the age of 17, her father died and she fell under her mother's domination.

Herschel led a harsh life...