Mary Frances Winston Newson was born on August 7, 1869, in Forreston, Illinois, one of seven children of Thomas Winston, a country physician of Welsh origin, and Caroline Eliza Mumford Winston, a former teacher who had studied geology by correspondence. Known to family and friends as May, she was educated at home by her mother before leaving Illinois at fifteen with an older brother to enroll at the University of Wisconsin in 1884. She graduated in 1889 with a classical degree and honors in mathematics.
After teaching mathematics at Downer College in Fox Lake, Wisconsin, from 1889 to 1891, she received a fellowship to study at Bryn Mawr College with Charlotte Angas Scott. She spent 1892–1893 at the newly founded University of Chicago. At the World’s Columbian Exposition in Chicago in 1893 she met Felix Klein, who encouraged her to come to the University of Göttingen. With support from Christine Ladd-Franklin and later a fellowship from the Association of Collegiate Alumnae, she arrived in Göttingen for the 1893–1894 academic year.
Göttingen was then a leading center of mathematics. Winston attended Klein’s lectures on hypergeometric series and work by Heinrich Weber. In December 1893 she presented a paper in Klein’s seminar, becoming the first woman to address that seminar. The paper, “Eine Bemerkung zur Theorie der hypergeometrischen Function,” appeared in Mathematische Annalen in 1895. She completed her doctoral examination in July 1896. Her dissertation, “Über den Hermiteschen Fall der Laméschen Differentialgleichungen,” treated a special case of Lamé’s differential equations. German regulations required publication of the thesis before the diploma could be issued. American printers could not handle the mathematical notation, so the work was printed in Germany in 1897. She received the doctorate magna cum laude that year, the first American woman to earn a Ph.D. in mathematics from a European university and the second woman, after Grace Chisholm, to receive a Göttingen doctorate as an enrolled student.
Returning to the United States in 1896, she taught high school in St. Joseph, Missouri, for a year. In 1897 she became head of the one-person mathematics department at Kansas State Agricultural College in Manhattan, Kansas, the first woman with a doctorate appointed to that faculty after a political purge had replaced the entire staff. She joined the American Mathematical Society in 1896 or 1897 and was later a charter member of the Mathematical Association of America.
On July 21, 1900, she married Henry Byron Newson, professor of mathematics at the University of Kansas, in Chicago. They had three children: Caroline (1901), Josephine (1903), and Henry Winston (1909). She resigned her Kansas State position upon marriage. Henry Newson died of a heart attack in February 1910, leaving her a widow with three young children, the youngest only months old.
While not holding a regular academic post immediately after her husband’s death, she produced her best-known published work: the first English translation of David Hilbert’s 1900 Paris address listing his famous unsolved problems. Made with Hilbert’s permission, the roughly forty-page translation appeared in the Bulletin of the American Mathematical Society in 1902 and introduced the problems to a wide English-speaking audience.
In 1913 she became an assistant professor of mathematics at Washburn College in Topeka, Kansas. The 1920 census lists her there as head of household raising her children while teaching college mathematics. From 1921 until her retirement she taught at Eureka College in Illinois. She taught both mathematics and astronomy, shared leadership of the combined mathematics and science division, and served as chair of the Division of Science and Mathematics from 1935 to 1939. After a mandatory retirement age was introduced she continued part-time until 1942. She also served as president of the Kansas Association of Teachers of Mathematics and chaired the international-relations roundtable of the Eureka branch of the American Association of University Women. In 1940 she was honored at the Women’s Centennial Congress in New York as one of one hundred women occupying positions closed to women a century earlier.
She published little original research after her dissertation, concentrating instead on teaching. She occasionally consulted her son Henry Winston Newson, who became a nuclear physicist and worked on the Manhattan Project and later at Duke University, on mathematical aspects of his work. After retirement she lived at Lake Dalecarlia in Indiana and later moved to a nursing home in Poolesville, Maryland. She died there on December 5, 1959, at the age of ninety, one day after the death of her brother Ambrose Paré Winston, an economics professor.
Newson’s career illustrates both the openings and the constraints facing women in American mathematics at the turn of the twentieth century. She obtained elite European training when few American universities granted doctorates to women in the subject, held faculty posts at a time when married women were often expected to leave paid work, and returned to teaching after widowhood while raising three children. Her Göttingen thesis and early paper on hypergeometric functions placed her in the mainstream of late-nineteenth-century analysis. Her translation of Hilbert’s problems remains her most widely cited contribution, giving English-speaking mathematicians direct access to a document that shaped twentieth-century research agendas. Her long teaching career at Kansas State, Washburn, and Eureka College extended that influence into American undergraduate education. She is remembered as a pioneer whose determination carried her from a rural Illinois childhood through the seminars of Felix Klein and into a life that combined scholarship, teaching, and family under circumstances that offered little institutional support for women who attempted all three.