Who was the first woman to receive a doctorate in any field in Germany wrote 220 math articles and many books and a paper on the foundations of calculus that won the gamble prize at Cambridge in 1915?

Grace Chisholm Young was the first woman to receive a doctorate in Germany. Along with her husband, William Young, she helped publish more than 220 math articles, books, and papers. She won the Gamble prize in 1915 for her paper on the foundations of calculus. For more information - see the related link.