She wrote the world's first computer program — in 1837.

She discovered ancient sea monsters buried in her backyard.

She cancelled the chemical tearing our ozone layer apart.

You might not know their names or faces, but these pioneering women changed the way we live in and think about the world. From geometry to paleontology, medicine to marine biology, they advanced their fields while facing tremendous odds. Join us now as we celebrate their stories. Here are 20 amazing (and unsung) women who changed math and science forever.

Mary Anning (1799-1847)

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The children's tongue twister "she sells seashells by the seashore" was allegedly inspired by real-life seaside paleontologist Mary Anning. She was born and raised near the cliffs of Lyme Regis in southwestern England; the rocky outcrops near her home were teeming with Jurassic fossils.

She taught herself to recognize, excavate and prepare these relics when the field of paleontology was in its infancy — and closed to women. Anning provided London paleontologists with their first glimpse of an ichthyosaur, a large marine reptile that lived alongside dinosaurs, in fossils that she discovered when she was no more than 12 years old, the University of California Museum of Paleontology (UCMP) in Berkeley, California, reported. She also found the first fossil of a plesiosaur (another extinct marine reptile).

Maria Sibylla Merian (1647-1717)

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Entomologist, botanist, naturalist and artist Maria Sibylla Merian created extraordinarily detailed and highly accurate drawings of insects and plants. By working with live specimens, Merian noted and revealed aspects of biology that were previously unknown to science.

Prior to Merian's investigations of insect life and her discovery that insects hatched from eggs, it was widely thought that the creatures generated spontaneously from mud. She became the first scientist to observe and document not only insect life cycles, but also how the creatures interacted with their habitats, The New York Times reported in 2017.

Merian's best-known work is the 1705 book "Metamorphosis Insectorum Surinamensium," a compilation of her field research on the insects of Suriname, according to the Royal Collection Trust in the U.K.

Sylvia Earle (born 1935)

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Marine biologist and oceanographer Sylvia Earle takes an immersive approach to ocean science; she is affectionately known as "Her Deepness," from the title of a 1989 profile in The New Yorker . In nearly 70 years of diving, beginning when she was 16 years old, Earle has cumulatively spent about a year underwater, she told The Telegraph in 2017.

Earle began her ocean research in the late 1960s, when few women worked in the field. In 1968, she was the first woman scientist to descend in a submersible to a depth of 100 feet (31 meters) in the Bahamas, and she did so while she was four months pregnant, The Telegraph reported.

Related: In Images: Sylvia Earle's 'Searching for Wisdom' Expedition

Two years later, Earle led a team of five women "aquanauts" on a two-week mission exploring the seafloor, in the underwater laboratory Tektite II. Since then, Earle has led more than 100 expeditions in oceans around the world, and in 1990, she became the first woman to serve as chief scientist of the National Oceanic and Atmospheric Administration (NOAA).

Mae Jemison (born 1956)

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In 1992, when the space shuttle Endeavour blasted off, NASA astronaut Mae Jemison became the first African American woman to reach space. But astronaut is just one of her many titles. Jemison is also a physician, a Peace Corps volunteer, a teacher, and a founder and president of two technology companies, according to Space.com , a Live Science sister site.

Jemison was born in Decatur, Alabama, on Oct. 17, 1956. When she was 3 years old, she moved with her family to Chicago, where her love for science took off. At age 16, the aspiring scientist attended Stanford University, where she earned degrees in chemical engineering and African and African American studies. She got her doctorate in medicine from Cornell University in New York state in 1981. As a Peace Corps volunteer, Jemison spent time in Sierra Leone and Liberia.

After training with NASA, Jemison and six other astronauts orbited Earth 126 times on the Endeavour. During her 190 hours in space, Jemison helped carry out two experiments on bone cells.

Jemison is also a polyglot, speaking English, Russian, Japanese and Swahili, and she even has a Lego made in her honor .

Maria Goeppert Mayer (1906-1972)

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In 1963, theoretical physicist Maria Goeppert Mayer became the second woman to win a Nobel Prize in physics, 60 years after Marie Curie won the award.

Goeppert Mayer was born on June 28, 1906, in Kattowitz, Germany (now Katowice, Poland). Although women from her generation rarely attended university, Goeppert Mayer went to the University at Göttingen in Germany, where she plunged into the relatively new and exciting field of quantum mechanics.

By 1930, at age 24, she had earned her doctorate in theoretical physics. She married the American Joseph Edward Mayer and moved with him so he could work at Johns Hopkins University in Baltimore. The university wouldn't employ her, given that it was the Depression, but she continued working on physics anyway.

When the couple moved to Columbia University in New York, she worked on the separation of uranium isotopes for the atomic bomb project . Her later research at the University of Chicago on the architecture of nuclei — how different orbital levels held different components of the nucleus in atoms — won her a Nobel Prize that she shared with two other scientists.

Rita Levi-Montalcini (1909-2012)

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Rita Levi-Montalcini's father discouraged her from pursuing a higher education, because he held Victorian notions and thought that women should embrace the full-time job of being a wife and mother. But Levi-Montalcini pushed back, and eventually her work on nerve growth factor would earn her the Nobel Prize in physiology or medicine.

The road to success wasn't easy. Born in Italy in 1909 , Levi-Montalcini made it to medical school, where she graduated summa cum laude in medicine and surgery in 1936. Then, she began to study neurology and psychiatry, but her research was interrupted by World War II. Undeterred, she set up a research lab in her home, where she studied development in chick embryos until she had to abandon her work and go into hiding in Florence, Italy.

After the war, she accepted a position at Washington University in St. Louis, where she and her colleagues found that a substance from a mouse tumor spurred nerve growth when it was put into chick embryos. Her lab colleague Stanley Cohen was able to isolate the substance, which the two researchers called nerve growth factor . He later shared the Nobel Prize with Levi-Montalcini in 1986.

Maryam Mirzakhani (1977-2017)

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Maryam Mirzakhani was a mathematician known for solving hard, abstract problems in the geometry of curved spaces. She was born in Tehran, Iran, and did her most important work as a professor at Stanford University, between 2009 and 2014.

Her work helped explain the nature of geodesics, straight lines across curved surfaces. It had practical applications for understanding the behavior of earthquakes and turned up answers to long-standing mysteries in the field.

In 2014 she became the first — and still only — woman to win the Fields Medal, the most prestigious prize in mathematics. Each year, the Fields Medal is awarded to a handful of mathematicians under the age of 40 at the International Mathematical Union's International Congress of Mathematicians.

Mirzakhani received her medal one year after she was diagnosed with breast cancer, in 2013. The cancer killed her on July 14, 2017, at age 40. Mirzakhani continues to influence her field, even after her death; in 2019, her colleague Alex Eskin won the $3 million Breakthrough Prize in mathematics for revolutionary work he did with Mirzakhani on the " magic wand theorem ." Later that year, the Breakthrough Prize endowed a new award in Mirzakhani's honor, which would go to promising, young women mathematicians.

Emmy Noether (1882-1935)

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Emmy Noether was one of the great mathematicians of the early 20th century, and her research helped lay the groundwork for both modern physics and two key fields of mathematics.

Noether, a Jewish woman, did her most important work as a researcher at the University of Göttingen in Germany between the late 1910s and early 1930s.

Her most famous work is called Noether's theorem, which has to do with symmetry; it laid the groundwork for further work that became necessary for modern physics and quantum mechanics.

Later, she helped build the foundations of abstract algebra — the work for which she's most highly regarded among mathematicians — and made foundational contributions to a number of other fields.

In April 1933, Adolf Hitler expelled Jews from the universities. For a time, Noether saw students in her home, before following other Jewish German scientists like Albert Einstein to the United States. She worked at both Bryn Mawr College in Pennsylvania and Princeton University before dying in April 1935.

Susan Solomon (born 1956)

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Susan Solomon is an atmospheric chemist, author, and professor at the Massachusetts Institute of Technology who for decades worked at the National Oceanic and Atmospheric Administration (NOAA). During her time at NOAA, she was the first to propose, with input from her colleagues, that chlorofluorocarbons (CFCs) were responsible for the Antarctic hole in the ozone layer.

She led a team in 1986 and 1987 to McMurdo Sound on the southern continent, where the researchers gathered evidence that the chemicals, released by aerosols and other consumer products, interacted with ultraviolet light to remove ozone from the atmosphere.

This led to the U.N. Montreal Protocol, which became effective in 1989, banning CFCs worldwide. It's considered one of the most successful environmental projects in history, and the hole in the ozone layer has shrunk considerably since the protocol's adoption.

Virginia Apgar (1909-1974)

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Dr. Virginia Apgar was a pioneer in the medical fields of anesthesiology and obstetrics, best known for her invention of the Apgar score, a simple and quick method to assess the health of newborns.

Apgar received her medical degree in 1933 and planned to become a surgeon. But there were limited career opportunities for women in surgery at the time, so she switched to the emerging field of anesthesiology. She would go on to become a leader in the field and the first woman to be named a full professor at Columbia University's College of Physicians and Surgeons, according to the National Institutes of Health .

One of Apgar's areas of research investigated the effects of anesthesia used during childbirth. In 1952, she developed the Apgar scoring system, which assesses the vital signs of newborns in the first minutes of life. The score is based on measures of the newborn's heart rate, breathing effort, muscle tone, reflexes and color, with lower scores indicating that the baby needs immediate medical attention. The system reduced infant mortality and helped give rise to the field of neonatology, and it is still used today.

Brenda Milner (born 1918)

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Sometimes called the "founder of neuropsychology," Brenda Milner has made groundbreaking discoveries about the human brain, memory and learning.

Milner is best known for her work with "Patient H.M.," a man who lost the ability to form new memories after undergoing brain surgery for epilepsy. Through repeated studies in the 1950s, Milner found that Patient H.M. could learn new tasks, even if he had no memory of doing it. This led to the discovery that there are multiple types of memory systems in the brain, according to the Canadian Association for Neuroscience . Milner's work played a major role in the scientific understanding of the functions of different areas of the brain, such as the role of the hippocampus and frontal lobes in memory and how the two brain hemispheres interact.

Her work continues to this day. At age 101, Milner is still a professor in the department of neurology and neurosurgery at McGill University in Montreal, according to the Montreal Gazette .

Karen Uhlenbeck (born 1942)

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In 2019, this American mathematician became the first woman to receive the Abel Prize, one of the most prestigious math awards. Uhlenbeck won for her groundbreaking contributions to mathematical physics, analysis and geometry.

She is considered one of the pioneers of the field of geometric analysis, which is the study of shapes using partial differential equations (the derivatives, or rates of change, of multiple different variables, often labeled x, y and z). And the methods and tools that she developed are being used widely throughout the field.

Related: The 11 Most Beautiful Mathematical Equations

Uhlenbeck made major contributions to gauge theories, a set of quantum physics equations that define how subatomic particles should behave. She also figured out the shapes that soap films can take in higher-dimensional curved spaces.

About the Abel prize, her longtime friend Penny Smith, a mathematician at Lehigh University in Pennsylvania, said "I can't think of anyone who deserves it more. ... She really is not just brilliant but creatively brilliant, amazingly creatively brilliant."

Jane Goodall (born 1934)

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Jane Goodall is a legendary primatologist whose work with wild chimpanzees changed the way we see these animals and their relationship with humans.

In 1960, Goodall began her study of chimpanzees in the Gombe forest of Tanzania. Immersing herself with the animals, she made several revolutionary discoveries, including that chimpanzees make and use tools — a trait that was previously thought to be uniquely human, according to National Geographic. She also found that the animals displayed complex social behaviors, such as altruism and ritualized behaviors, as well as gestures of affection.

In 1965, Goodall earned a doctorate in ethology from Cambridge University, becoming one of only a handful of people ever allowed to study at the university at the graduate level without first receiving an undergraduate degree. In 1977, Goodall founded the Jane Goodall Institute to support research and protection of chimpanzees.

Ada Lovelace (1815-1852)

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Ada Lovelace was a 19th century self-taught mathematician and is thought of by some as the "world's first computer programmer."

Lovelace grew up fascinated by math and machinery. At age 17, she met English mathematician Charles Babbage at an event where he was demonstrating a prototype for a precursor to his "analytical engine," the world's first computer. Fascinated, Lovelace decided to learn everything she could about the machine.

In 1837, Lovelace translated a paper written about the analytical engine from French. Alongside her translation, she published her own detailed notes about the machine. The notes, which were longer than the translation itself, included a formula she created for calculating Bernoulli numbers. Some say that this formula can be thought of as the first computer program ever written, according to a previous Live Science report .

Lovelace is now a major symbol for women in science and engineering. Her day is celebrated on the second Tuesday of every October.

Dorothy Hodgkin (1910-1994)

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Dorothy Hodgkin, an English chemist, won the Nobel Prize in chemistry in 1964 for figuring out the molecular structures of penicillin and vitamin B12.

She became very interested in crystals and chemistry at age 10, and as an undergraduate at the University of Oxford, she became one of the first to study the structure of organic compounds using a method called X-ray crystallography. In her graduate studies at the University of Cambridge, she extended the work of British physicist John Desmond Bernal on biological molecules and helped to make the first X-ray diffraction study of pepsin, according to Britannica.com .

When she was offered a temporary research fellowship in 1934, she returned to Oxford, staying there until she retired. She established an X-ray lab at Oxford's Museum of Natural History, where she began her research on the structure of insulin.

In 1945, she successfully described the arrangement of the atoms in penicillin's structure, and in the mid-1950s, she discovered the structure of vitamin B12. In 1969, nearly four decades after her first attempt, she determined the chemical structure of insulin.

Caroline Herschel (1750-1848)

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Caroline Herschel (born in Hannover, Germany, on March 16, 1750) might owe her reputation as the world's first professional female astronomer to a bad case of typhus. At 10 years old, Caroline's growth was permanently stunted by the illness —her height peaked at 4 feet, 3 inches (130 centimeters), according to Britanica.com — as were her marriage prospects. Doomed to be an old maid, as far as her parents were concerned, Herschel's education was abandoned for housework, until her brother, William Herschel, spirited her away to Bath, England, in 1772.

William Herschel was a musician and astronomer, and he tutored his sister in both vocations. Eventually, Caroline Herschel graduated from grinding and polishing her brother's telescope mirrors to honing his equations and making celestial discoveries all her own. While assisting her brother in his role as court astronomer to King George III in 1783, Caroline Herschel detected three previously undiscovered nebulas; three years later, she became the first woman to discover a comet.

In 1787, the king awarded Caroline Herschel an annual pension of 50 pounds, making her the first professional female astronomer in history. She cataloged more than 2,500 nebulas before her death, in 1848, and was awarded gold medals from both the Royal Astronomical Society and the King of Prussia for her research.

Sophie Germain (1776-1831)

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Sophie Germain was a French mathematician best known for her discovery of a special case in Fermat's last theorem that is now called Germain's theorem and for her pioneering work in the theory of elasticity.

Germain's fascination with math began when she was only 13 years old. As a young woman in the early 1800s, Germain's interest in science and mathematics wasn't well received by her parents, and she wasn't allowed to receive a formal education in the subject.

So, Germain studied behind her parents' back at first and used a male student's name to submit her work to the math instructors she admired. The instructors were impressed, even when they found out that Germain was a woman, and they took her under their wing as much as they could at the time, according to Louis L. Bucciarelli and Nancy Dworsky's book "Sophie Germain: An Essay in the History of the Theory of Elasticity" (Springer Netherlands, 1980).

In 1816, Germain won a contest to come up with a mathematical explanation for a set of unusual images created by German physicist Ernst Chladni. It was Germain's third try to solve the puzzle, which she did by correcting her previous errors. Although her third solution still contained minor discrepancies, the judges were impressed and deemed it worthy of a prize.

Around 1820, Germain wrote to her mentors, Carl Friedrich Gauss and Joseph-Louis Lagrange, about how she was working to prove Fernat's last theorem, according to Agnes Scott College in Atlanta . Germain's efforts eventually led to what is now known as Sophie Germain's theorem.

Patricia Bath (born 1942)

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Dr. Patricia Bath is an American ophthalmologist and laser scientist. Bath became the first female ophthalmologist to be appointed to the faculty of the University of California, Los Angeles (UCLA) School of Medicine Jules Stein Eye Institute, in 1974; the first woman to chair an ophthalmology residency program in the United States, in 1983; and the first female African American physician to receive a patent for a medical invention, in 1986.

Bath was inspired at a young age to pursue a career in medicine after learning of Dr. Albert Schweitzer's service to the people of what is now Gabon, Africa, in the early 1900s, according to the U.S. National Library of Medicine .

While completing her medical training in New York City in 1969, Bath noticed that there were far more blind or visually impaired patients at the eye clinic in Harlem compared to the eye clinic at Columbia University. So, she conducted a study and found that the prevalence of blindness in Harlem was a result of the lack of access to eye care. To solve the problem, Bath proposed a new discipline, community ophthalmology, which trains volunteers to offer primary eye care to underserved populations. The concept is now employed worldwide and has saved the sight of thousands who would have otherwise gone undiagnosed and untreated.

As a new female and black faculty member at UCLA, Bath experienced numerous instances of sexism and racism. In 1977, she co-founded the American Institute for the Prevention of Blindness, an organization whose mission is to protect, preserve and restore sight.

Bath's research on cataracts led to her invention of a new method and device to remove cataracts, called the laserphaco probe. She earned a patent for the technology in 1986. Today, the device is used worldwide.

Rachel Carson (1907-1964)

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Rachel Carson was an American biologist, conservationist and science writer. She's best known for her book "Silent Spring" (Houghton Mifflin, 1962), which describes the harmful effects of pesticides on the environment. The book eventually led to the nationwide ban of DDT and other harmful pesticides, according to the National Women's History Museum .

Carson studied at the Woods Hole Oceanographic Institution in Massachusetts and received her master's degree in zoology from Johns Hopkins University in 1932. In 1936, Carson became the second woman hired by the U.S. Bureau of Fisheries (which later became the U.S. Fish and Wildlife Service), where she worked as an aquatic biologist, according to the U.S. Fish and Wildlife Service . Her research allowed her to visit many waterways around the Chesapeake Bay region, where she first began to document the effects of pesticides on fish and wildlife .

Carson was a talented science writer, and the Fish and Wildlife Service eventually made her the editor in chief of all its publications. After the success of her first two books on marine life, "Under the Sea Wind" (Simon and Schuster, 1941) and "The Sea Around Us" (Oxford, 1951), Carson resigned from the Fish and Wildlife Service to focus more on writing.

With the help of two other former employees from the Fish and Wildlife Service, Carson spent years studying the effects of pesticides on the environment across the United States and Europe. She summarized her findings in her fourth book, "Silent Spring," which spurred enormous controversy. The pesticide industry tried to discredit Carson, but the U.S. government ordered a complete review of its pesticide policy, and as a result, banned DDT. Carson has since been credited with inspiring Americans to consider the environment.

Ingrid Daubechies (born 1954)

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Her honors and scientific citations would make a CVS receipt look small: Ingrid Daubechies, born in 1954 in Brussels, where she earned both her bachelor's and doctorate degrees in physics, was drawn to math from an early age. In addition to an interest in how things worked, she also loved figuring out "why certain mathematical things were true (like the fact that a number is divisible by 9 if, when you add all its digits together, you get another number divisible by 9," she once said, according to a short bio on the website of the University of St. Andrews in Scotland. She also loved sewing doll clothes — because, of course, of math. "It was fascinating to me that by putting together flat pieces of fabric one could make something that was not flat at all, but followed curved surfaces." And she recalls falling asleep while computing powers of 2 in her head, according to the St Andrews bio.

Perhaps the most important number to her would be 1987. That's not just the year she got married, but also when she made a major mathematical breakthrough in the field of wavelets; these are akin to "miniwaves," because rather than going on forever (think about sine and cosine), they quickly fade, with the wave heights starting at zero, rising and then quickly dropping back to zero.

She discovered so-called orthogonal wavelets (now called Daubechies wavelets), which are used in JPEG 2000 image compression and even in some models used for search engines.

Currently, she's a professor of mathematics and electrical and computer engineering at Duke University, where she studies wavelet theory, machine learning and other fields at the intersection of physics, math and engineering.

Originally published on Live Science.