Ada Maddison
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Ada Isabel Maddison (1869 – 1950) was a British
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
best known for her work on
differential equation In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...
s.


Education

Isabel Maddison entered University College in Cardiff in 1885. She was awarded a Clothworker's Guild Scholarship to study at Girton College, Cambridge, where she matriculated in 1889. A fellow student who matriculated at Girton at the same time as Maddison was Grace Chisholm (later Grace Chisholm Young). Maddison attended lectures at Cambridge by Cayley, Whitehead and Young. In 1892 Maddison passed the
Cambridge Mathematical Tripos The Mathematical Tripos is the mathematics course that is taught in the Faculty of Mathematics at the University of Cambridge. It is the oldest Tripos examined at the University. Origin In its classical nineteenth-century form, the tripos was ...
Exam earning a First Class degree, equal to the twenty-seventh Wrangler, but she was not allowed to receive a degree, as, at this time, women could not formally receive a degree at Cambridge. Instead, she was awarded the degree of Bachelor of Science with Honors from the
University of London The University of London (UoL; abbreviated as Lond or more rarely Londin in post-nominals) is a federal public research university located in London, England, United Kingdom. The university was established by royal charter in 1836 as a degree ...
in 1893. Her fellow student Grace Chisholm also earned a First Class degree in the same
Mathematical Tripos The Mathematical Tripos is the mathematics course that is taught in the Faculty of Mathematics at the University of Cambridge. It is the oldest Tripos examined at the University. Origin In its classical nineteenth-century form, the tripos was ...
examinations. On completing her studies at Cambridge, Maddison was awarded a scholarship which enabled her to spend the year 1892–93 at
Bryn Mawr College Bryn Mawr College ( ; Welsh: ) is a women's liberal arts college in Bryn Mawr, Pennsylvania. Founded as a Quaker institution in 1885, Bryn Mawr is one of the Seven Sister colleges, a group of elite, historically women's colleges in the United ...
in the US. There she undertook research under the direction of
Charlotte Scott Charlotte Angas Scott (8 June 1858 – 10 November 1931) was a British mathematician who made her career in the United States and was influential in the development of American mathematics, including the mathematical education of women. Scott ...
, the first woman to earn a First Class degree at Cambridge (in 1880). Maddison was awarded the resident mathematics fellowship, and then a Mary E. Garrett Fellowship for study abroad. She used the latter to study at the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...
in the academic year 1893-1894,where she attended lectures by Felix Klein and David Hilbert. Right before that, in 1893, Maddison sat the University of London exams, and as a result was awarded a BSc with Honors. She received her PhD from Bryn Mawr in 1896.


Career and later life

Maddison had, like Scott, become interested in linear algebra through the influence of Cayley at Cambridge. When she first reached Bryn Mawr College, Maddison continued to work on this topic but later, advised by Scott, she began to work on singular solutions of differential equations. Although she had earned the equivalent of a First Class degree at Cambridge, Maddison still had no degree so she took the external examinations of the University of London in 1893 which allowed her to graduate with a BSc with honours. Bryn Mawr College awarded her their Residential Mathematical Fellowship which funded her studies for the year 1893–94. She was next awarded the Mary E. Garrett European Fellowship, which enabled her to spend 1894–95 at Göttingen in Germany. There she met again Grace Chisholm, who was studying for her doctorate under Klein. Maddison attended lectures by Klein, Hilbert, and Burkhardt during her year at Göttingen where she played a full part in the exciting mathematical atmosphere of the department. She continued working at Bryn Mawr, where she taught as well as doing time-consuming administrative work. In 1895, Maddison returned to Bryn Mawr College to take up the position of assistant to the president of the College,
M. Carey Thomas Martha Carey Thomas (January 2, 1857 – December 2, 1935) was an American educator, suffragist, and linguist. She was the second president of Bryn Mawr College, a women's liberal arts college in Bryn Mawr, Pennsylvania. Biography Early life ...
. Until 1902, M. Carey Thomas held both the position of dean and of president, so Maddison had a busy life as her assistant. It was a position which took up so much of her time that she was unable to continue with mathematical research, but she did complete her doctorate under Scott's supervision. She was awarded a PhD in 1896 for her thesis ''On Singular Solutions of Differential Equations of the First Order in Two Variables and the Geometrical Properties of Certain Invariants and Covariants of Their Complete Primitives'' and in the same year appointed as Reader in Mathematics at Bryn Mawr. Her paper ''On certain factors of c- and p-discriminants and their relations to fixed points in the family of curves'' which she published in the ''Journal of Pure and Applied Mathematics'' was based on her doctoral dissertation and she was awarded the Gambel Prize. She also published an English translation of Klein's address in the ''Bulletin of the American Mathematical Society'' in 1896 and in the Bulletin of 1897 a ''Note on the History of the Map Coloring Problem.'' In 1904, she was appointed both associate professor and assistant to the president. Her will endowed $10,000 in memory of President
M. Carey Thomas Martha Carey Thomas (January 2, 1857 – December 2, 1935) was an American educator, suffragist, and linguist. She was the second president of Bryn Mawr College, a women's liberal arts college in Bryn Mawr, Pennsylvania. Biography Early life ...
to be used as a pension fund for Bryn Mawr's administrative staff. She has also put together a thorough listing of university courses open to women at the time in British and Canadian universities. In 1897, she was elected membership to the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
as well as a life member of the London Mathematical Society. She was also a member of the Daughters of the British Empire. Maddison remained at Bryn Mawr until she retired in 1926. After Maddison retired she returned to England for a time, but later went back to Pennsylvania, where she spent time writing poetry rather than mathematics. Her will gave a large sum of money in the memory of M. Carey Thomas, who died in 1935, to be used as pension funds for non-faculty members of staff at Bryn Mawr. In a tribute by the board of directors after her death, she was remembered for "her natural and gentle sweetness, her love of youth, and her sensitivity."


References


External links


"Isabel Maddison"
on the
Mathematics Genealogy Project The Mathematics Genealogy Project (MGP) is a web-based database for the academic genealogy of mathematicians.. By 31 December 2021, it contained information on 274,575 mathematical scientists who contributed to research-level mathematics. For a ty ...

"Charlotte Scott: An Appreciation"
Bryn Mawr Alumnae Bulletin written by Isabel Maddison * Biography on p. 376-379 of th
Supplementary Material
a
AMS
* :File:Woman s Who s who of America.pdf, 1914, p. 533 (= p. 520 in Pdf) {{DEFAULTSORT:Maddison, Ada British women mathematicians 1869 births 1950 deaths 19th-century British mathematicians 20th-century British mathematicians Bryn Mawr College alumni Alumni of the University of London University of Göttingen alumni Bryn Mawr College faculty 20th-century women mathematicians