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Italian mathematician Maria Agnesi published the first book discussing both differential and integral calculus.
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French mathematician Sophie Germain’s theorem, Germain’s Theorem, a major step towards proving Fermat’s last theorem, was published.
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Russian mathematician Sofia Kovalevskaya became the first woman to earn a doctorate in mathematics, which she earned from the University of Göttingen in Germany.
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Winifred Edgerton Merrill became the first American woman to earn a PhD in mathematics, which she earned from Columbia University.
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Sofia Kovalevskaya was appointed as the first female professor in Northern Europe, at the University of Stockholm.
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German mathematician Emmy Noether published Noether's theorem, stating that any differentiable symmetry of the action of a physical system has a corresponding conservation law.
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American mathematician Anna Pell-Wheeler became the first woman to lecture at the American Mathematical Society Colloquium.
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Euphemia Haynes became the first African-American woman to earn a Ph.D. in mathematics, which she earned from Catholic University.
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American mathematician Gertrude Mary Cox became the first woman elected into the International Statistical Institute.
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The Association for Women in Mathematics was founded, with goal of encouraging women and girls to study and to have active careers in the mathematical sciences and to promote equal opportunity for women in the mathematical sciences.
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American mathematician Julia Robinson became the first female mathematician elected to the National Academy of Sciences.
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American mathematician Dorothy Lewis Bernstein became the first female president of the Mathematical Association of America.
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Julia Robinson became the first female president of the American Mathematical Society.
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Israeli-Canadian mathematician Leah Edelstein-Keshet became the first female president of the Society for Mathematical Biology.
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American Alison Miller became the first ever female gold medal winner on the U.S. International Math Olympiad Team.
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Latvian mathematician Daina Taimina became the first woman to win the Euler Book Prize, which is awarded to the author of an outstanding book about mathematics, for Crocheting Adventures with Hyperbolic Planes.
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The Working Committee for Women in Mathematics, Chinese Mathematical Society was founded; it is a national non-profit academic organization in which female mathematicians share their research.
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French mathematician Claire Voisin received the CNRS Gold medal, the highest scientific research award in France.