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MARY

CARTWRIGHT

WHO WAS MARY CARTWRIGHT?

WHO WAS MARY CARTWRIGHT

Dame Mary Lucy Cartwright, was a British Mathematician and pioneer of the Chaos Theory.

She was the first woman to:

  • Recive a Sylvester Medal.
  • To serve on the Council of the Royal Society.
  • Be President of the Mathematical Society.

In 1969, she received the distinction of being hounred by the Queen, becoming Dame Mary Cartwright Commander of the Order of the British Empire

Aynho

1900

Where was she born?

Cambridge

1998

Where did she die?

PERSONAL LIFE

PERSONAL LIFE

1

She is a descendant of the poet John Donne

2

Together with John Edensor Littlewood, she was the first to analyse the dynamical system with Chaos Theory.

From her school years she was attracted to history, but as she did not like the method of the time, which consisted of memorising long lists of historical events.

4

Although he devoted himself to mathematics, his interest in history did not diminish, and his love of the subject was reflected in the biographies of mathematicians he later wrote.

UPBRINGING

&

BACKGROUND

UPBRINGING

&

BACKGROUND

She studied at Salisbury. In October 1919 she enrolled in mathematics at St. Hugh's University, Oxford, and was one of five women of her generation and graduated with excellence. For four years she devoted herself to teaching mathematics.

She obtained his Ph.D. in 1930 and a research fellowship at Girton College, Cambridge. There he met mathematician and professor John Edensor Littlewood

SALISBURY

SALISBURY

When she was eleven years old, Mary Cartwright was sent away to school, first attending Leamington High School, then later attending the Godolphin School in

Salisbury. When she was encouraged in her studies of mathematics in her final year at school, Mary realised that it was a topic where one could

succeed without the long hours of learning

facts. It became the topic that she wanted to study at university.

ST. HUGH'S UNIVERSITY

ST. HUGH'S UNIVERSITY

In October 1919 Cartwright entered St Hugh's College in Oxford to study mathematics. At that time she was one of only five women in the whole university who were studying mathematics. The lecture halls were crowded and often Cartwright had to copy up notes of lectures which she could not get into because of the crowds. After two years of study she took her lectures which she could not get

into because lectures which she could not get into because of the crowds. After two years of study she took her Mathematical Moderations examinations and was awarded second class. Cartwright went on to be awarded a first class degree in Final Honours, and graduated from Oxford in 1923. Cartwright then taught in schools for four years before returning to Oxford to read for her D.Phil. She taught first at Alice Ottley

School in Worcester, and then at Wycombe Abbey School in Buckinghamshire. Having no room to experiment led Cartwright to feel discontent with her career.

GIRTON COLLEGE

GIRTON COLLEGE

In 1930 Cartwright was awarded a Yarrow Research Fellowship and she went to Girton College, Cambridge, to continue working on the topic of her doctoral thesis. Attending Littlewood's lectures, she solved one of the open problems which he posed.

Her theorem, now known as Cartwright's Theorem. She was appointed, on the recommendation of both Hardy and Littlewood, to an assistant lectureship in mathematics in Cambridge in 1934, part-time lecturer in mathematics the following year. In 1936 she became director of studies in mathematics at Girton College, and in 1938 she began work

on a new project which had a major impact on the direction of her research. The Radio Research Board of the Department of Scientific and Industrial Research produced a memorandum regarding certain differential equations which came out of modelling radio and radar work. They asked the London Mathematical Society if they could help find a mathematician who could work on these problems and Cartwright became interested in their memorandum.

References

References

https://www.encyclopedia.com/history/encyclopedias-almanacs-transcripts-and-maps/cartwright-mary-lucy

https://elpais.com/ciencia/2021-04-27/mary-cartwright-la-matematica-que-descubrio-el-caos.html

https://www.bbc.com/news/magazine-21713163

LEGACY

The mathematician solved an open problem that Littlewood had proposed during a course on function theory. Applying the technique introduced by Lars Ahlfors on conformal geometry, he was able to give an estimate for a value - the maximum modulus - of analytic functions. These are functions that are described locally by a convergent series. Cartwright's theorem is one of the most relevant works in the area.

Lars Valerian Ahlfors

He was a Finnish mathematician

In 1935 he visited Harvard University. He made decisive contributions to meromorphic

Lars Ahlfors

curves, value distribution theory, Riemann surfaces, conformal geometry, quasiconformal mappings and other areas during his career.

THEOREM OF MARY CARTWRIGHT

The theorem deals with coordinates, that entity which limits the mathematical elements, in this case about the asymptotic behaviour of p-valent analytic functions.

Theorem of Mary

Cartwright

Assessment

Methods

CONTRIBUTIONS FOR THE HUMANITY

It is one of the most relevant works in the area. She and Littlewood were among the first to see that topological and analytical methods could be combined to obtain results for differential equation problems.

CONCLUTION

CONCLUTIONS

Mathematics projects, at least for me, are a way to realise how important mathematics is in our lives, even if we don't appreciate it at first sight, this area of knowledge has allowed us to develop as a species, besides being entertaining and very interesting.

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