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You may not have heard about many famous female mathematicians. This is because until relatively recently it wasn't easy for women to go to university, let alone have a career in science or mathematics.

Despite this, there have been women throughout history who have made great discoveries and many more making great discoveries today.

Hypatia

c.370 - 415

Hypatia is probably the first female mathematician who we know about. Hypatia lived in Ancient Greece - in Alexandria, which is now in modern day Egypt. She was the daughter of Theon who was a philosopher and mathematician. Hypatia assisted her father with his mathematical works, and wrote many other works of her own.

Unfortunately all of Hypatia's work is lost and we only know the titles and other people's references to it. Despite this, she is still considered to be a great mathematician of the ancient world.

Read a full biography of Hypatia

Mary Somerville

1780 - 1872

Mary Somerville was born at a time when it wasn't seen as necessary to give girls a good education. Mary was very interested in mathematics however, and tried to study whenever she could. She taught herself at home and spent time learning with friends and family members.

Marys second husband William was also interested in science and encouraged her to pursue her studies. In 1827 Mary was asked to translate a book by the French mathematician Laplace and her work was an immediate success. After this, Mary continued to do lots of important research for the rest of her life. Mary was given lots of honours for her work. Somerville College at Oxford University is named after her.
Read a biography of Mary Somerville
Ada Lovelace

1815-1852

Ada Lovelace was fortunate that her mother Anne was passionate about mathematics and made sure her daughter received an excellent education, which was unusual for girls at the time. By the age of 17 Ada had met Charles Babbage, a famous mathematician and engineer. Babbage was busy working on developing his 'analytical engine' - which was essentially a programmable computer.

Ada began to extend and develop this mathematical work and even wrote what is now considered to be the first computer programme. Sadly the analytical engine was never built and it wasn't until the 1940s when programmable computers became a reality. Ada Lovelace will be forever remembered as the world's first computer programmer. This is a very great honour when you think of the impact computers have on our lives.
Read a biography of Ada Lovelace
Florence Nightingale

1820-1910

You might have heard of Florence Nightingale referred to as 'the lady with the lamp'. She is famous for being a nurse who was full of compassion and the founder of modern nursing. What is less well known is that Florence was a pioneering statistician who used her work to dramatically cut death rates .

When Florence went to be a nurse in the Crimean war she used statistics to show that lots of the soldiers were dying due to the conditions of the hospitals, rather than from fighting. Florence's use of statistics helped to show governments why people were dying. As a result she helped reduce mortality rates in both the army and at home.

In particular Florence developed lots of innovative graphs and charts which made statistics easy to understand for politicians. Before this time it was not common to represent statistics in this way.

Florence Nightingale's work is so important that for nearly 20 years her image was on the back of the British £10 note.

Read a biography of Florence Nightingale

Maryam Mirzakhani

1977-2017

Maryam was born and raised in Iran. During her teenage years took part in the International Mathematical Olympiads, becoming the first Iranian student to achieve a perfect score and win two gold medals. In 2014 Maryam Mirzakhani was the first ever female mathematician to receive the Fields Medal, which is sometimes described as a Nobel prize for mathematics.

She became a mathematics Professor at Stanford University in the U.S. and is considered to be one of the greatest mathematicians of recent times. In a recent newspaper article Maryam described how her love of mathematics grew from her teenage years onwards: 'The more time I spent on maths, the more excited I got ' Sadly Maryam Mirzakhani died of breast cancer in 2017 aged just 40 years old.

Read an interview with Maryam Mirzakhani in the Guardian newspaper.

Download our Historical Mathematicians picture quiz and test your knowledge:

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Five famous female Mathematicians - Maths Careers

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You may not have heard about many famous female mathematicians. This is because until relatively recently it wasn't easy for women to go to university, let alone have a career in science or mathematics. Despite this, there have been women throughout history who have made great discoveries and many more making great discoveries today.

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Presented by Dr Andrew Hodges Mathematician and author

Who was Alan Turing?

Alan Turing was not a well known figure during his lifetime. But today he is famous for being an eccentric yet passionate British mathematician, who conceived modern computing and played a crucial part in the Allied victory over Nazi Germany in WW2.

He was also a victim of mid-20th Century attitudes to homosexuality - he was chemically castrated before dying at the age of 41.

Can a machine think?

Turing moved to the University of Manchester, where electronic engineers had already demonstrated a very small stored-program computer.

Now he focused on the use of computers. His main theme had been in investigating the power of a computer to rival human thought. In 1950, he published a philosophical paper including the idea of an 'imitation game' for comparing human and machine outputs, now called the Turing Test. This paper remains his best known work and was a key contribution to the field of Artificial Intelligence.
Why was Turing's work on AI controversial? Take an interactive tour of the Baby

We can only see a short distance ahead, but we can see plenty there that needs to be done.

Turing on the challenge of machine intelligence, 1950

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Alan Turing: Creator of modern computing

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Presented by Dr Andrew Hodges Mathematician and author Alan Turing was not a well known figure during his lifetime. But today he is famous for being an eccentric yet passionate British mathematician, who conceived modern computing and played a crucial part in the Allied victory over Nazi Germany in WW2.

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Islamic Mathematics - The Story of Mathematics

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The Story of Mathematics - Islamic Mathematics

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"Mrs Land worked as a computer out at Langley," my father said, taking a right turn out of the parking lot of the First Baptist church in Hampton, Virginia. My husband and I visited my parents just after Christmas in 2010, enjoying a few days away from our full-time life and work in Mexico.

They squired us around town in their 20-year-old green minivan, my father driving, my mother in the front passenger seat, Aran and I buckled in behind like siblings. My father, gregarious as always, offered a stream of commentary that shifted fluidly from updates on the friends and neighbours we'd bumped into around town to the weather forecast to elaborate discourses on the physics underlying his latest research as a 66-year-old doctoral student at Hampton University.

That black women worked as mathematicians at Nasa challenges much of what we think we know about American history

He enjoyed touring my Maine-born-and-raised husband through our neck of the woods and refreshing my connection with local life and history in the process.

As a callow 18-year-old leaving for college, I'd seen my home town as a mere launching pad for a life in worldlier locales, a place to be from rather than a place to be. But years and miles away from home could never attenuate the city's hold on my identity and the more I explored places and people far from Hampton, the more my status as one of its daughters came to mean to me. That day after church, we spent a long while catching up with the formidable Mrs Land, who had been one of my favourite Sunday school teachers. Kathaleen Land, a retired Nasa mathematician, still lived on her own well into her 90s and never missed a Sunday at church.

We said our goodbyes to her and clambered into the minivan, off to a family brunch. "A lot of the women around here, black and white, worked as computers," my father said, glancing at Aran in the rearview mirror but addressing us both. "Kathryn Peddrew, Ophelia Taylor, Sue Wilder," he said, ticking off a few more names. "And Katherine Johnson, who calculated the launch windows for the first astronauts."

The narrative triggered memories decades old, of spending a much treasured day off from school at my father's office at the National Aeronautics and Space Administration's Langley Research Centre. I rode shotgun in our 1970s Pontiac, my brother, Ben, and sister, Lauren, in the back as our father drove the 20 minutes from our house, straight over the Virgil I. Grissom Bridge, down Mercury Boulevard, to the road that led to the Nasa gate. Daddy flashed his badge and we sailed through to a campus of perfectly straight parallel streets lined from one end to the other by unremarkable two‑storey redbrick buildings.

Only the giant hypersonic wind tunnel complex, a 100ft ridged silver sphere presiding over four 60ft smooth silver globes, offered visual evidence of the remarkable work occurring on an otherwise ordinary looking campus.

Building 1236, my father's daily destination, contained a byzantine complex of government-grey cubicles, perfumed with the grownup smells of coffee and stale cigarette smoke. His engineering colleagues, with their rumpled style and distracted manner, seemed like exotic birds in a sanctuary. They gave us kids stacks of discarded 11x14 continuous-form computer paper, printed on one side with cryptic arrays of numbers, the blank side a canvas for crayon masterpieces.

Women occupied many of the cubicles; they answered phones and sat in front of typewriters, but they also made hieroglyphic marks on transparent slides and conferred with my father and other men in the office on the stacks of documents that littered their desks. That so many of them were African American, many of them my grandmother's age, struck me as simply a part of the natural order of things: growing up in Hampton, the face of science was brown like mine.

Christine Darden (née Mann) in the control room of Nasa Langley's Unitary Plan Wind Tunnel in 1975. Photograph: Credit: Nasa

My dad joined Langley in 1964 as a co-op student and retired in 2004 an internationally respected climate scientist. Five of my father's seven siblings made their bones as engineers or technologists and some of his best buddies - David Woods, Elijah Kent, Weldon Staton - carved out successful engineering careers at Langley. Our next-door neighbour taught physics at Hampton University. Our church abounded with mathematicians. Supersonics experts held leadership positions in my mother's sorority and electrical engineers sat on the board of my parents' college alumni associations. My Aunt Julia's husband, Charles Foxx, was the son of Ruth Bates Harris, a career civil servant and fierce advocate for the advancement of women and minorities; in 1974, Nasa appointed her deputy assistant administrator, the highest-ranking woman at the agency. The community certainly included black English professors, like my mother, as well as black doctors and dentists, black mechanics, janitors and contractors, black cobblers, wedding planners, real estate agents and undertakers, several black lawyers and a handful of black Mary Kay salespeople. As a child, however, I knew so many African Americans working in science, maths and engineering that I thought that's just what black folks did.

My father, growing up during segregation, experienced a different reality.

"Become a physical education teacher," my grandfather said in 1962 to his 18-year-old son, who was hellbent on studying electrical engineering at historically black Norfolk state college.

In those days, college-educated African Americans with book smarts and common sense put their chips on teaching jobs or sought work at the post office. But my father, who built his first rocket in junior high metal shop class following the Sputnik launch in 1957, defied my grandfather and plunged full steam ahead into engineering. Of course, my grandfather's fears that it would be difficult for a black man to break into engineering weren't unfounded. As late as 1970, just 1% of all American engineers were black, a number that doubled to a whopping 2% by 1984. Still, the federal government was the most reliable employer of African Americans in the sciences and technology; in 1984, 8.4% of Nasa's engineers were black.

Nasa's African American employees learned to navigate their way through the space agency's engineering culture and their successes in turn afforded their children previously unimaginable access to American society. Growing up with white friends and attending integrated schools, I took much of the groundwork they'd laid for granted.

John Glenn enters his Mercury 7 capsule for a test at Cape Canaveral. Photograph: Bettmann Archive

Every day, I watched my father put on a suit and back out of the driveway to make the 20-minute drive to building 1236, demanding the best from himself in order to give his best to the space programme and to his family. My father secured my family's place in the comfortable middle class and Langley became one of the anchors of our social life. Every summer, my siblings and I saved our allowances to buy tickets to ride ponies at the annual Nasa carnival.

Year after year, I confided my Christmas wishlist to the Nasa Santa at the Langley children's Christmas party. For years, Ben, Lauren and my youngest sister, Jocelyn, still a toddler, sat in the bleachers of the Langley activities building on Thursday nights, rooting for my dad and his "NBA" (Nasa Basketball Association) team, the Stars. I was as much a product of Nasa as the moon landing.

The spark of curiosity soon became an all-consuming fire. I peppered my father with questions about his early days at Langley during the mid-1960s, questions I'd never asked before. The following Sunday I interviewed Mrs Land about the early days of Langley's computing pool, when part of her job responsibility was knowing which bathroom was marked for "coloured" employees. And less than a week later I was sitting on the couch in Katherine Johnson's living room, under a framed American flag that had been to the moon, listening to a 93-year-old with a memory sharper than mine recall segregated buses, years of teaching and raising a family and working out the trajectory for John Glenn's spaceflight. I listened to Christine Darden's stories of long years spent as a data analyst, waiting for the chance to prove herself as an engineer.

Even as a professional in an integrated world, I had been the only black woman in enough drawing rooms and boardrooms to have an inkling of the chutzpah it took for an African American woman in a segregated southern workplace to tell her bosses she was sure her calculations would put a man on the moon. These women's paths set the stage for mine; immersing myself in their stories helped me understand my own. Even if the tale had begun and ended with the first five black women who went to work at Langley's segregated west side in May 1943, the women later known as the "West Computers" , I still would have committed myself to recording the facts and circumstances of their lives.

Just as islands, isolated places with unique, rich biodiversity, have relevance for the ecosystems everywhere, so does studying seemingly isolated or overlooked people and events from the past turn up unexpected connections and insights to modern life. The idea that black women had been recruited to work as mathematicians at the Nasa installation in the south during the days of segregation defies our expectations and challenges much of what we think we know about American history. It's a great story and that alone makes it worth telling.

In the early stages of researching my book, I shared details of what I had found with experts on the history of the space agency. To a person, they encouraged what they viewed as a valuable addition to the body of knowledge, though some questioned the magnitude of the story.

"How many women are we talking about? Five or six?"

I had known more than that number just growing up in Hampton, but even I was surprised at how the numbers kept adding up. These women showed up in photos and phone books, in sources both expected and unusual. A mention of a Langley job in an engagement announcement in the Norfolk Journal and Guide. A handful of names from the daughter of one of the first West Computers. A 1951 memo from the Langley personnel officer reporting on the numbers and status of its black employees, which unexpectedly made reference to one black woman who was a "GS-9 research scientist".

I discovered one 1945 personnel document describing a beehive of mathematical activity in an office in a new building on Langley's west side, staffed by 25 black women coaxing numbers out of calculators on a 24-hour schedule, overseen by three black shift supervisors who reported to two white head computers. I can put names to almost 50 black women who worked as computers, mathematicians, engineers or scientists at the Langley Memorial Aeronautical Laboratory from 1943 through 1980, and my intuition is that 20 more names can be shaken loose from the archives with more research.

While the black women are the most hidden of the mathematicians who worked at the Naca, the National Advisory Committee for Aeronautics, and later at Nasa, they were not sitting alone in the shadows: the white women who made up the majority of Langley's computing workforce over the years have hardly been recognised for their contributions to the agency's long-term success. Virginia Biggins worked the Langley beat for the Daily Press newspaper, covering the space programme starting in 1958. "Everyone said, 'This is a scientist, this is an engineer' and it was always a man," she said in a 1990 panel on Langley's human computers. She never got to meet any of the women.

Nasa space scientist and mathematician Katherine Johnson at Nasa Langley Research Center, Hampton, Virginia, 1980. Photograph: Donaldson Collection/Getty Images

"I just assumed they were all secretaries," she said. Five white women joined Langley's first computing pool in 1935 and by 1946, 400 "girls" had already been trained as aeronautical foot soldiers. Historian Beverly Golemba, in a 1994 study, estimated that Langley had employed "several hundred" women as human computers. On the tail end of the research for Hidden Figures, I can now see how that number might top 1,000.

To a first-time author with no background as a historian, the stakes involved in writing about a topic that was virtually absent from the history books felt high. I'm sensitive to the cognitive dissonance conjured by the phrase "black female mathematicians at Nasa". From the beginning, I knew I would have to apply the same kind of analytical reasoning to my research that these women applied to theirs. Because as exciting as it was to discover name after name, finding out who they were was just the first step. The real challenge was to document their work. Even more than the surprisingly large numbers of black and white women who had been hiding in a profession seen as universally white and male, the body of work they left behind was a revelation.

There was Dorothy Hoover, working for Robert T Jones in 1946 and publishing theoretical research on his famed triangle-shaped delta wings in 1951. There was Dorothy Vaughan, working with the white "East Computers" to write a textbook on algebraic methods for the mechanical calculating machines that were their constant companions.

There was Mary Jackson, defending her analysis against John Becker, one of the world's top aerodynamicists. There was Katherine Johnson, describing the orbital trajectory of John Glenn's flight, the maths in her trailblazing 1959 report as elegant, precise and grand as a symphony. There was Marge Hannah, the white computer who served as the black women's first boss, co-authoring a report with Sam Katzoff, who became the laboratory's chief scientist. There was Doris Cohen, setting the bar for them all with her first research report - the NACA's first female author - back in 1941.

My investigation became more like an obsession; I would walk any trail if it meant finding a trace of one of the computers at its end. I was determined to prove their existence and their talent in a way that meant they would never again be lost to history. As the photos, memos, equations and family stories became real people, as the women became my companions and returned to youth or returned to life, I started to want something more for them than just putting them on the record. What I wanted was for them to have the grand, sweeping narrative that they deserved. Not told as a separate history, but as a part of the story we all know.

Today, my hometown, the hamlet that in 1962 dubbed itself "Spacetown USA", looks like any suburban city in a modern and hyperconnected America. People of all races and nationalities mingle on Hampton's beaches and in its bus stations, the "whites only" signs of the past now relegated to the history museum and the memories of survivors of the civil rights revolution. Mercury Boulevard no longer conjures images of the eponymous mission that shot the first Americans beyond the atmosphere and each day the memory of Virgil Grissom fades away from the bridge that bears his name. A downsized space programme and decades of government cutbacks have hit the region hard; today, an ambitious college grad with a knack for numbers might set her sights on a gig at a Silicon Valley startup or make for one of the many technology firms that are conquering the Nasdaq from the Virginia suburbs outside of Washington DC.

But before a computer became an inanimate object, and before Mission Control landed in Houston; before Sputnik changed the course of history, and before the Naca became Nasa; before the supreme court case Brown v Board of Education of Topeka established that separate was in fact not equal, and before the poetry of Martin Luther King Jr's "I have a dream" speech rang out over the steps of the Lincoln Memorial, Langley's West Computers were helping America dominate aeronautics, space research and computer technology, carving out a place for themselves as female mathematicians who were also black, black mathematicians who were also female. For a group of bright and ambitious African American women, diligently prepared for a mathematical career and eager for a crack at the big leagues, Hampton, Virginia, must have felt like the centre of the universe.

This is an edited extract from Hidden Figures by Margot Lee Shetterly, published by William Collins (£8.99). To order a copy for £7.64 go to bookshop.theguardian.com or call 0330 333 6846. Free UK p&p over £10, online orders only. Phone orders min p&p of £1.99

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Hidden figures: the history of Nasa's black female scientists

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The diversity of Nasa's workforce in 1940s Virginia is uncovered in a new book by Margot Lee Shetterly. She recalls how a visit to her home town led to a revelation