katherine johnson timeline
The Simson line in a triangle is named after him, which can be constructed using the circumcircle. Johnson’s mathematical genius was evident from an early age. He often made a solid version, as well as a transparent version that only shows the edges, which was a completely new way to represent these 3-dimensional solids. 1914: Franz Ferdinand of Austria is assassinated in Sarajevo, starting the c. 260 BCE: Archimedes proves that π is between 3.1429 and 3.1408. c. 235 BCE: Eratosthenes uses a sieve algorithm to quickly find prime numbers. Katherine Johnson was born as Creola Katherine Coleman on August 26, 1918, in White Sulphur Springs, West Virginia, to Joylette Roberta (Lowe) and Joshua McKinley Coleman. Claudius Ptolemy (c. 100 – 170 CE) was a Greco-Roman mathematician, astronomer, geographer and astrologer. thereby founding Group theory and Galois theory. Reaching for the Moon: The Autobiography of NASA Mathematician Katherine Johnson by Katherine Johnson Intermediate, Middle School Atheneum 250 pp. Part of the text contains the number 605. He calculated the solution to the “chessboard problem” involving exponential series, computed the volume of paraboloids, and found a generalization of Pythagoras’ theorem. This function is now called the Witch of Agnesi. AD. Wiles had been fascinated by the problem since the age of 10, and spent seven years working on it in solitude. Today we mostly remember him for the Mersenne primes, prime numbers that can be written as 2n−1. Nasir al-Din Tusi (1201 – 1274, نصیر الدین طوسی), also known as Muhammad ibn Muhammad ibn al-Hasan al-Tūsī, was an architect, philospher, physician, scientist, and theologian, as well as a prolific writer. He is often called the “father of the computer”, having invented the first mechanical computer (the Difference engine), and an improved, programmable version (the Analytical Engine). Girard Desargues (1591 – 1661) was a French mathematician, engineer, and architect. He is best remembered for the Ptolemaic or Geocentric model of our universe – that Earth is in the centre and all planets and the sun revolve around this. Cardano also made some early progress in probability theory and introduced binomial coefficients and binomial theorem to Europe. This was one of the famous unsolved problems in mathematics, until it was proven in 2003 by Grigori Perelman. In is book Jade Mirror of the Four Unknowns, he showed how to solve 288 different problem using systems of polynomial equations and four variables (called Heaven, Earth, Man and Matter). the industrial revolution. William Rowan Hamilton (1805 – 1865) was an Irish mathematician and child prodigy. He later returned to Athens to teach in Plato's Academy during the time Aristotle was a student. It is dates back to the Upper Paleolithic period of human history, and is approximately 20,000 years old. She has received many honors, including several NASA Achievement Awards and honorary degrees. The codex also contains examples of the Aztec calendar system, which you can see along the blue bar. This had been an open problem for over 350 years! As a child, he taught himself Latin, Greek and mathematics, hoping to escape his lower class life. John Napier (1550 – 1617) was a Scottish mathematician, physicist, and astronomer. In 1937 she graduated from West Virginia State University. Many consider Al-Din Tusi to be the father of trigonometry, and he was perhaps the first person to work on trigonometry independent of astronomy. Approx. In his spare times, he built machines that could juggle or solve the Rubik’s Cube puzzle. She is one of the founders of the field of modern geometric analysis, and the only woman to have received the Abel Prize, one of the highest awards in mathematics. 1492: Christopher Columbus arrives in America, starting a new age of c. 1754 BCE: The Babylonian King Hammurabi Issues the Code of Hammurabi, one of the first legal documents. Daniel Bernoulli showed that as the speed of a fluid increases, its pressure decreases. He also gave the first definitions of number fields and rings, two important constructs in abstract algebra. In 1991, a functional replica was constructed at the Science Museum in London. Very few Mayan documents have survived until today: one of them is the Dresden codex. Here you can see a set of 21 Bamboo Strip that were created around 2300 years ago in China. The colored dots and icons indicate which themes are associated with that appearance. Her extraordinary ability to calculate orbital trajectories, launch windows and emergency return paths was widely known. Katherine's Birthday August 26, 1918. Maqalah fi al-jabra wa-al muqabalah, which means Demonstration of Problems in Algebra, is a manuscript written by the Persian mathematician Omar Khayyam, around 1100 CE. 1603: William Shakespeare’s “Hamlet” is performed for the first time. His work laid foundations for a distinct type of Japanese mathematics, known as wasan (和算), which was continued by his successors. From Cambodia, the concept was passed to India, where the Hindu-Arabic numeral system originated. c. 100 CE: Nicomachus poses the oldest still-unsolved problem in mathematics: DK Life Stories go beyond the basic facts to tell the true life stories of history's most interesting people. In Iran, this triangle is called the Khayyam triangle, while in Europe and America it is more commonly known as Pascal’s traingle. c. 200 BCE: The “Suàn shù shū” (Book on Numbers and Computation) is one of the In fact, the name algebra derived from the word al-ğabr in the title of the book. Later in her career at … He was an early pioneer of calculus, as well as working in number theory, probability, geometry and optics. His last words were “Do not disturb my circles” – which he was studying at the time. He committed suicide at the age of 41. Zu Chongzhi (祖沖之, 429 – 500 CE) was Chinese astronomer, mathematician, writer, politician and inventor. Euclid of Alexandria (Εὐκλείδης, around 300 BCE) was a Greek mathematician and is often called the father of geometry. He found a formula for the area of a triangle based on the length of its three sides, calculated the sum of arithmetic series, and introduced a symbol for “zero” into Chinese mathematics. He was ordained to priesthood at the age of 17, and taught rhetoric as well as physics and mathematics. Florence Nightingale (1820 – 1910) was an English nurse and statistician. Da Vinci created 60 different images of polyhedra. Abraham de Moivre (1667 – 1754) was a French mathematician who worked in probability and analytic geometry. Many ancient civilisations, like the Greeks and Romans, did not have a “zero” in their numeral system. Geometry problems show how to find the area of circles and rectangles, as well as the volume of three-dimensional solids, while assuming that π=3. She remarried to Colonel James Johnson in 1959. He graphically explored concepts like symmetry, infinity, perspective and non-euclidean geometry. It was while reading one of Diophantus’ books, many centuries later, that Pierre de Fermat proposed one of these equations had no solution. This method was common in the Middle Ages – even for documents by brilliant scientists and mathematicians. It is one of the most influential books ever published, and was used as textbook in mathematics until the 19th century. These two pages show a problem about a pet peacock standing on a column, which can be solved using Pythagoras’ theorem. 1829: Bolyai, Gauss and Lobachevsky all invent hyperbolic non-Euclidean 399 BCE: Socrates is sentenced to death, refuses to escape, and drinks a cup of Lagrange also wrote about classical and celestial mechanics, and helped establish the metric system in Europe. He was the first person to use proof by induction, which allowed him to prove the binomial theorem. symmetry of the universe. He also proposed and studied the Tusi couple: a device in which a circle rolls around the inside of a larger circle with twice the diameter. He also founded a school in Italy where he and his students worshipped mathematics almost like a religion, while following a number of bizarre rules – but the school was eventually burned down by their adversaries. Sylvester coined many of the terms we are familar with today including “graph”, “discriminant”, and “matrix”. While taking a bath, Archimedes discovered a way to determine the volume of irregular objects using the amount of water they displaced when submerged. He developed the method of exhaustion in mathematics, which laid the foundation for integral calculus. c. 300 BCE: Indian mathematician Pingala writes about zero, binary numbers, Month and day not specified. She studied objects like hyperbolic surfaces and complex manifolds, but also contributed to many other areas of mathematics. After two years, the Romans finally managed to enter, and Archimedes was killed. Cox taught at Howard University in the United States, he studied polynomial solutions to differential equations, generalised the Boole summation formula, and compared different grading systems. Zhu also published a number of other mathematics texts, like the Suanxue Qimeng (New Arithmetic Enlightenment) in 1299. Eudoxus of Cnidus (Εὔδοξος ὁ Κνίδιος, c. 390 – 337 BCE) was an ancient Greek astronomer and mathematician. She applied her mathematical ability while gambling, and used her winnings to buy books and laboratory equipment, and made important advanced regarding the concepts like energy and energy conservation. He wrote the Chandaḥśāstra, where he analysed Sanskrit poetry mathematically. Carl Friedrich Gauss (1777 – 1855) was arguably the greatest mathematician in history. Hypatia (c. 360 – 415 CE) was a prominent astronomer and mathematician in ancient Alexandria. Others think it may be a very early trigonometry table. He also invented rules for solving systems of linear equations – predating our modern matrix methods by many centuries. He also found a non-recursive formula for Fibonacci numbers, linking them to the golden ratio φ. Jacob Bernoulli (1655 – 1705) was a Swiss mathematician, and one of the many important scientists in the Bernoulli family. In ancient Mesopotamia, almost 10,000 years ago, scribes and merchants started using small, three-dimensional clay objects as counters, to represent certain quantities, units or goods. He is also the first individual in history that has a mathematical discovery named after him: Thales’ theorem. 1957: The Soviet Union launches Sputnik 1, the first man-made satellite into Every digit from 1 to 19 consists of circles (representing 1) and horizontal lines (representing 5). Madhava of Sangamagramma (c. 1340 – 1425) was a mathematician and astronomer from southern India. prime numbers. But at the time she didn’t know that it was going to change her life forever. For example, on this page he shows how to solve equations of the form x3+cx+d=bx2 using the intersection of a circle and a hyperbola. In 1913, Hardy received a letter from Srinivasa Ramanujan, an unknown, self-taught clerk from India. When he returned to Italy, Fibonacci wrote a book about everything he learned. He studied partial differential equations and geometric analysis, and his work has many applications – including in general relativity and string theory. This is an infinite number of tasks, which means that you’ll never arrive! He always tried to incorporate puzzles and logic into his children’s stories, making them more enjoyable and memorable. Sumer was a region of ancient Mesopotamia in the Middle East. János Bolyai (1802 – 1860) was a Hungarian mathematician, and one of the founders of non-Euclidean geometry – a geometry in which Euclid’s fifth axiom about parallel lines does not hold. Katherine’s Bhāskara wrote the book for his daughter, and the title actually means “playful”. This opened up a wide range of new strategies for understanding our universe. He created Boolean algebra, which uses operators like AND, OR and NOT (rather than addition or multiplication) and can be used when working with sets. It was published around 1150, when he was 36 years old. Bernhard Riemann (1826 – 1866) was a German mathematician working in the fields of analysis and number theory. The Langlands program, which he first proposed in 1967, consists of a vast web of conjectures and theorems that link different areas of mathematics. Create a Timeline Now; The Life of Katherine Johnson. When arrenged correctly, they form a multiplication table in base 10, written in ancient Chinese calligraphy. She still participates in panels and conferences. Katherine Coleman Goble Johnson (August 26, 1918 – February 24, 2020) was an African American physicist and mathematician. katherine johnson timelinehow to katherine johnson timeline for People suspected of having cervicogenic headache should be carefully assessed by their doctor to exclude other primary (migraine, tension-type) or secondary (vessel dissection, posterior fossa lesions) causes of headaches. He managed to classify and solve all cubic equations, and found new ways to understand Euclid’s parallel axiom. Katherine has three daughters, Constance, Katherine, and Joylette. It would take other mathematicians many years to fully understand these letters, and realise the impact of his work. Katherine had many accomplishments in her life such as working on the Space Shuttle and the Earth Resources Satellite. He also invented the Turing machine, a mathematical model of a general purpose computer, and the Turing test, which can be used to judge the ability of artificial intelligence. He first came up with the idea while walking along the Royal Canal in Dublin, and carved the fundamental formula into a stone bridge he passed: i2=j2=k2=ijk=−1. c. 3000 BCE: First evidence of smelting iron ore to make wrought iron. The French mathematician Henri Poincaré (1854 – 1912) is often described as the last universalist, meaning that he worked in every field of mathematics known during his lifetime. Adrien-Marie Legendre (1752 – 1833) was an important French mathematician. The Aztec calendar used 20 day signs represented by a small image (crocodile, wind, house, lizard, snake, rabbit, water, etc. Timeline Of Katherine Johnson images, similar and related articles aggregated throughout the Internet. More stories on Katherine Johnson When West Virginia decided to quietly integrate its graduate schools in 1939, West Virginia State’s president, Dr. John W. Davis, selected her and two men to be the first black students offered spots at the state’s flagship school, West Virginia University. The De Morgan laws explain how to transform logical relationships in set theory, for example A∩B‾=A‾∪B‾ and A∪B‾=A‾∩B‾. When Katherine was 10 she passed the eighth grade. 1969: Apollo 11 astronauts Neil Armstrong and Buzz Aldrin land and walk on 1637: Fermat claims to have proven Fermat’s Last Theorem. These two clay tablets from the Yale Babylonian Collection were created between 1800 and 1600 BCE, and contain exercises by student scribes, to calculate the area of different geometric shapes. Today, one of the highest awards in mathematics, the Abel Prize is named after him. He worked at the “House of Wisdom”, which contained the first large collection of academic books since the destruction of the Library of Alexandria. Hipparchus made detailed observations of the night sky and created the first comprehensive star catalog in the western world. She is the first female mathematician elected to the US National Academy of Sciences, and was the first female president of the American Mathematical Society. This gives a cycle of 20 × 13 = 260 days. He explains how to eliminate variables and how to find the side length of two and three-dimensional shapes given their volume or area. space. 1088: The first university is established in Bologna, Italy. 1096: The First Crusade is launched by Pope Urban II. In it, he showed how to solve linear and quadratic equations, and for many centuries, it was the main mathematics textbook at European universities. While working at NASA, Johnson calculated the orbits taken by American astronauts – including Alan Shepard, the first American in space, the Apollo Moon landing program, and even the Space Shuttle. As an engineer, he built ingenious defence machines during the siege of his home city Syracuse in Sicily. In 1637, he wrote a short note in the margin of one of his textbooks, claiming that the equation an+bn=cn has no integer solutions for n>2, and that he had a “marvellous proof, which this margin is too narrow to contain”. Archimedes of Syracuse lived in the 3rd Century BCE and was one of the greatest mathematicians in history. Her parents tried to prevent her from studying when she was young, and she never received a post at a university. This helped the Allies win the war, and may have saved millions of lives. clouds or coastlines). Shiing-Shen Chern (1911 – 2004) was a Chinese-American mathematician and poet. 490 BCE: Greece stop the Persian invasion at the battle of Marathon. History remembers him as the first to write mathematical explanation of the planets. Peano also developed a new, international language, Latino sine flexione, which was a simplified version of Latin. butterfly effect. numeral system. 1776: America Issues its Declaration of Independence from Great Britain. He calculated Pi accurately to 7 decimal places – a record which was not surpassed until 800 years later. 1804: Napoleon is crowned emperor of France. He invented many mechanical devices, including combination locks, gyroscopes with three degrees of freedom, and drive shafts (or Cardan shafts) that are still used in vehicles today. Perelman also made contributions to Riemannian geometry and geometric topology, and the Poincaré Conjecture is still the only one of the seven Millennium Prize problems to have been solved. Émilie du Châtelet (1706 – 1749) was a French scientist and mathematician. He helped survey the land that would later become the District of Columbia, the capital of the United States, and he accurately predicting a solar eclipse in 1791. She died just a few days after giving birth to a daughter, but her completed work was published posthumously, and is still used today. He described Pascal’s triangle, more than six centuries before Pascal, and used it to calculate square and cube roots. The English mathematician John Wallis (1616 – 1703) contributed to the development of calculus, invented the number line and the symbol ∞ for infinity, and served as chief cryptographer for Parliament and the royal court. He helped reform the French education system and found the École Polytechnique. Mascheroni proved that all Euclidean constructions that can be done with compass and straightedge can also be done with just a compass: this is now known as the Mohr–Mascheroni theorem. The goal of the Bourbaki group was to unify all of mathematics with a formal, axiomatic foundation. During the second World War, Weil fled to the United States and later joined the Institute for Advanced Study at Princeton University. 1903: The Wright Brothers construct the first powered, heavier-than-air Heron of Alexandria ( Ἥρων ὁ Ἀλεξανδρεύς, c. 10 – 70 CE) was a Greek mathematician and engineer. Nicole Oresme (c. 1323 – 1382) was an important French mathematician, philosopher and bishop, living in the late Middle Ages. c. 551 BCE: Confucius is born in China. She was also the first woman to hold full professorship in Northern Europe, and is among the first women to be an editor of a scientific journal. Arthur Cayley (1821 – 1895) was a British mathematician and lawyer. He was one of the founders of the Bourbaki group, a group of mathematicians working under the collective pseudonym Nicolas Bourbaki. George Boole (1815 – 1864) was an English mathematician. He also developed on infinitesimal calculus – independently of Leibniz and Newton in Europe. 978-1-5344-4085-2 $10.99. Pedro Nunes (1502 – 1578) was a Portuguese mathematician and astronomer. Aristotle (Ἀριστοτέλης, c. 384 – 322 BCE) was a philosopher in Ancient Greece. The complex proof was verified by 2006, but Perelman declined two big awards that came with it: the $1 million Clay Millennium Prize, and the Fields Medal which is the highest recognition in mathematics. His notebooks contain a vast number of drawings, inventions, and scientific diagrams – including the first flying machines and helicopters, hydraulic pumps, bridges, and much more. In 1982, he was awarded the Fields Medal for his study of 3D manifolds. He studied heat transfer and vibrations, and discovered that any periodic function can be written as an infinite sum of trigonometric functions: a Fourier series. At the age of 20, Galois was shot in a duel (some say a feud over a woman), and later died of his wounds. Hardy immediately recognised his genius, and arranged for Ramanujan to travel to Cambridge where he was working. The Rhind Papyrus is one of the most famous mathematical documents from ancient Egypt. 1936 Elementary the time started is unknown High School She started at 10 (1928) and ended at 14 (1932) College She started at 14 During his life, most people believed in the Geocentric model of the universe, with Earth at the centre and everything else rotating around it. His many writings on philosophy and theology, science and mathematics, politics and justice, make him one of the most influential thinkers of all time. During her 33-year career at NASA and its predecessor, she earned a reputation for mastering complex manual calculations and helped pioneer the use of computers to perform the tasks. 1517: Martin Luther publishes his 95 theses, starting the Protestant 570 CE: Muhammad, the founder of Islam, is born in Mecca. 144 Top Katherine Johnson Teaching Resources. He extended the scope of the field to apply to many new problems in mathematics, including, eventually, Fermat’s last theorem. This eventually led to him being tried by the Catholic Inquisition: Galileo was forced to recant and spent the rest of his life under house arrest. reformation. Hometown. Al-Khwārizmī is often called the father of algebra. Katherine Johnson was born in White Sulphur Springs, WV. pseudonym of Nicolas Bourbaki, on Set theory. In 1939 she was selected to be one of the first African American students to enroll at West Virginia University at Morgantown. Seki Takakazu (関 孝和, 1642 – 1708) was an important Japanese mathematician and writer. Unfortunately, as a woman, she was faced with significant opposition. Augustus De Morgan (1806 – 1871) was a British mathematician and logician. his powers. The German mathematician Georg Cantor (1845 – 1918) was the inventor of set theory, and a pioneer in our understanding of infinity. Katherine Johnson was born on August 26, 1918 to Joshua and Joylette Coleman in White Sulphur Springs, West Virginia. Katherine Johnson was born on 26 August 1918 in White Sulphur Springs in Greenbrier County, West Virginia, the fourth child of Joshua Coleman and Joylette Lowe. He is the father of modern differential geometry. Maurits Cornelis Escher (1898 – 1972) was a Dutch artist who created sketches, woodcuts and lithographs of mathematically inspired objects and shapes: including polyhedra, tessellations and impossible shapes. Joseph Fourier (1768 – 1830) was a French mathematician, and a friend and advisor of Napoleon. His work on geometry, topology, and knot theory even has applications in string theory and quantum mechanics. Katherine was handpicked to integrate West Virginia graduate schools. Unfortunately, Ramanujan soon fell ill and was forced to return to India, where he died at the age of 32. Leibniz believed that our universe is the “best possible universe” that God could have created, while allowing us to have a free will. Explore more than 144 'Katherine Johnson' resources for teachers, parents and pupils as well as related resources on 'Ada Lovelace' It is part of the Oxyrhynchus papyri, which were found in 1897 in an ancient rubbish dump in Egypt. Euler invented much of the modern mathematical terminology and notation, and made important discoveries in calculus, analysis, graph theory, physics, astronomy, and many other topics. Eudoxus traveled to several places around the Mediterranean to study. It was created in the 13th century and describes Mayan mathematics and astronomy. c. 2030 BCE: The Sumerian city of Ur is the largest city in the world. Stanisław Ulam (1909 – 1984) was a Polish-American mathematician. It shows the geometric diagram of a square with its diagonals. 1837: Samuel Morse and others develop electrical telegraphs. She was also the first woman to be appointed professor at a university. He also found a partial solution for the “three body problem”, and discovered that the motion of three stars or planets in space can be completely unpredictable. Nicolaus Copernicus (1473 – 1543) was a Polish mathematician, astronomer and lawyer. Aug 26, 1918. The Mayan number system had base 20 – using both fingers and toes for counting. In 1637, Pierre de Fermat, wrote in the margin of a textbook that he had a wonderful proof that the equation an+bn=cn has no integer solutions for n>2. Before running a quarter, you have to run 18th, 116th, and so on. natural selection. Artur Avila (born 1979) is a Brazilian mathematician, and the first Latin-American to receive the Fields medal. He also studied acoustics and the harmonics of a vibrating string, and wrote about theology and philosophy. De Moivre discovered the formula for the normal distribution in probability, and first conjectured the central limit theorem. of peace across Europe. He was also the private tutor of Alexander the Great. Childhood When Katherine was 10 she passed the eighth grade. Adi Shamir (born 1952) is an Israeli mathematician and cryptographer. He used one of the first telescopes to make observations of the night sky, where he discovered the four largest moons of Jupiter, the phases of Venus, sunspots, and much more. Aryabhata (आर्यभट, 476 – 550) was one of the first mathematicians and astronomers in the golden age of Indian mathematics. Now called Bernoulli’s principle, this is the mechanism used by airplane wings and combustion engines. She was the first female president of the International Mathematical Union (IMU). It was written by the Persian mathematician Muḥammad ibn Mūsā al-Khwārizmī around 820 CE, and established Algebra as a new area of mathematics. He wrote about economics, physics, astronomy and theology, and was an advisor to King Charles V of France. In mathematics, Desargues is considered the father of projective geometry. He is credited with the first use of superscripts for powers or exponents, and the cartesian coordinate system is named after him. Hired to be a "Human Computer" at Langley Research Center 1952. His teachings become the foundation of Leonardo was born in Vinci, educated in Florence, and worked in Milan, Rome, Bologna, and Venice. She spent much of her reseach studying the tenth problem on Hilbert’s famous list: to find an algorithm for determining if a diophantine equation has any integer-valued solutions. Institute katherine johnson timeline Advanced study at Princeton University works about her life including a memoir, a functional was... Go beyond the basic laws of gravity and motion, as well physics... Clerk from India effect and Brownian motion, discovers special relativity, realise... She edited or wrote commentaries on many of the first African American students to enroll at Virginia! Tutor of Alexander the Great depression the Monte Carlo method – an important Norwegian mathematician however it! Baghdad and was katherine johnson timeline solved in 1994 for understanding our universe trigonometry: he constructed tables. Avila ( born 17 July ) is a French mathematician starts modern topology astronomical allowed... Motion, discovers special relativity, and dozens of theorems are named after him Erdős published around 1150 when... And president of the most accurate for many decades after his death, he summarised his mathematical discoveries geometry... Places using a polygon with 393216 sides the key figures in the Middle East and consists a., hoping to escape his lower class life expel us from the “! Antonio de Mendoza mathematics and astronomy Russell ( 1872 – 1970 ) was an American and... Mathematics textbook applications, which is now known as “ poetical science ” which States there! 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