Famous Mathematicians: 28 Names From Every Era

Who Counts As A Famous Mathematician?

A famous mathematician, for this guide, is someone whose idea changed what everyone after them could do, not only someone whose name appears on a poster. That definition pulls in scribes, astronomers, code-breakers and NASA calculators alongside the professors.

Three rules shaped the selection:

• Ideas a child meets at school. Zero, place value, pi, algebra, Pythagoras' theorem, the Fibonacci sequence and computing all appear in this list through the people behind them.

• The whole world, not one corner of it. Mathematics grew in Egypt, Mesopotamia, Greece, China, India, the Islamic world, Japan and Europe, often in parallel.

• Facts that can be checked. Dates follow MacTutor exactly, including its "about" when a date is uncertain. Popular legends that no reliable source supports are left out.

Twenty-eight is not a magic number. It is the set where every person earns a place by an idea your child will actually use.

Which Famous Mathematicians Shaped Ancient Mathematics?

Ancient mathematics was built by people solving practical problems: sharing bread, measuring fields, tracking the sky. These seven span Egypt, Greece and China.

Ahmes

Ahmes was the Egyptian scribe who copied the Rhind Papyrus around 1650 BC, one of the oldest known mathematical documents, full of fraction and geometry problems. MacTutor gives his life as about 1680 to 1620 BC. Ahmes on MacTutor.

Pythagoras

Pythagoras (about 570 to 490 BC, born on Samos in Ionia) was a Greek philosopher who worked in mathematics, astronomy and the theory of music. The theorem named after him was known to the Babylonians about 1000 years earlier, but he may have been the first to prove it. Pythagoras on MacTutor.

Euclid

Euclid (about 325 to 265 BC, Alexandria, Egypt) wrote The Elements, a 13-book treatise on geometry that shaped Western mathematics for more than 2000 years. Much of what children learn as Euclid's geometry, points, lines and proofs built from a few starting rules, comes from it. Euclid on MacTutor.

Archimedes

Archimedes (287 to 212 BC, Syracuse, Sicily) used polygons with 96 sides to show that pi lies between $3\frac{10}{71}$ and $3\frac{1}{7}$. MacTutor calls him the greatest mathematician of his age and notes that his methods anticipated integral calculus. Archimedes on MacTutor.

Liu Hui

Liu Hui (about 220 to 280, Wei, China) wrote a famous commentary on the Nine Chapters on the Mathematical Art, the great Chinese problem book. Liu Hui on MacTutor.

Hypatia

Hypatia (about 370 to March 415, Alexandria, Egypt) is described by MacTutor as the first woman to make a substantial contribution to the development of mathematics. She taught and wrote commentaries in Alexandria. Hypatia on MacTutor.

Zu Chongzhi

Zu Chongzhi (429 to 501, born in Jiankang, now Nanjing, China) gave the approximation $\frac{355}{113}$ for pi, correct to 6 decimal places, and proved that pi lies between 3.1415926 and 3.1415927. Zu Chongzhi on MacTutor.

Who Were The Famous Mathematicians Of The Medieval World?

Between 500 and 1500, the centre of mathematical invention sat in India and the Islamic world, and the ideas then travelled to Europe. Zero as a number, algebra and early calculus-like series all belong here.

Aryabhata

Aryabhata I (476 to 550, born in Kusumapura, now Patna, India) completed the Aryabhatiya in 499, a 118-verse summary of Indian mathematics and astronomy. It gives pi as $\frac{62832}{20000} = 3.1416$. Aryabhata on MacTutor.

Brahmagupta

Brahmagupta (598 to 670, possibly Ujjain, India) wrote the Brahmasphutasiddhanta in 628. He defined zero as a number subtracted from itself and gave rules for fortunes and debts, what we now call positive and negative numbers. Brahmagupta on MacTutor.

Al-Khwarizmi

Al-Khwarizmi (about 780 to 850, possibly Baghdad) wrote Hisab al-jabr w'al-muqabala, which gives us the word algebra. A Latin translation of his book on Hindu numerals, Algoritmi de numero Indorum, gave us the word algorithm. Al-Khwarizmi on MacTutor.

Bhaskara II

Bhaskara II (1114 to 1185, Vijayapura to Ujjain, India), also called Bhaskaracharya, extended Brahmagupta's work on number systems. His book Lilavati is one of the best-known arithmetic texts ever written, and Bijaganita covers algebra. Bhaskara II on MacTutor.

Fibonacci

Leonardo of Pisa, known as Fibonacci (about 1170 to 1250, Pisa, now Italy), wrote Liber abaci in 1202, which introduced the Hindu-Arabic place-value system to Europe. A rabbit puzzle in the book leads to 1, 1, 2, 3, 5, 8, the sequence of Fibonacci numbers. Fibonacci on MacTutor.

Madhava

Madhava of Sangamagrama (1350 to 1425, Kerala, India) found infinite series for sine, cosine and the arctangent around 1400, more than 200 years before European mathematicians found them again. Madhava on MacTutor.

Which Mathematicians Changed Maths Between 1600 And 1800?

The 1600s and 1700s produced calculus, modern notation and new algebra, and the work happened in Japan and Italy as well as England and Switzerland.

Seki Takakazu

Seki Takakazu (March 1642 to 5 December 1708, Japan) was the first person to study determinants, in 1683, ten years before Leibniz. He also found the Bernoulli numbers before Jacob Bernoulli. Seki on MacTutor.

Isaac Newton

Isaac Newton (4 January 1643 to 31 March 1727, Woolsthorpe to London, England) laid the foundation for differential and integral calculus. He published the Principia in 1687, setting out his law of universal gravitation. Newton on MacTutor.

Leonhard Euler

Leonhard Euler (15 April 1707 to 18 September 1783, Basel, Switzerland to St Petersburg, Russia) gave us the notation $f(x)$, $e$, $i$ and $\pi$ as we use them. After going blind he produced almost half of his total work, helped by a remarkable memory. Euler on MacTutor.

Maria Gaetana Agnesi

Maria Gaetana Agnesi (16 May 1718 to 9 January 1799, Milan) is noted for her work in differential calculus. Her textbook Instituzioni analitiche appeared in 1748 and 1749, and the University of Bologna kept her name on its rolls for 45 years. Agnesi on MacTutor.

Who Were The Great Mathematicians Of The 1800s?

The 1800s turned mathematics into a profession, and women fought their way into it despite being shut out of universities.

Carl Friedrich Gauss

Carl Friedrich Gauss (30 April 1777 to 23 February 1855, Brunswick to Göttingen, now Germany) worked across number theory, geometry, astronomy and magnetism. In 1801 he published Disquisitiones Arithmeticae, a landmark in number theory and the study of prime numbers. Gauss on MacTutor.

Sophie Germain

Sophie Germain (1 April 1776 to 27 June 1831, Paris, France) wrote to leading mathematicians as "M LeBlanc" so they would judge her work and not her gender. In 1815 she won the Institut de France prize for her work on elasticity. Germain on MacTutor.

Ada Lovelace

Ada Lovelace (10 December 1815 to 27 November 1852, London, England) published notes in 1843 describing how Charles Babbage's Analytical Engine could be programmed. She wrote that it "weaves algebraical patterns just as the Jacquard loom weaves flowers and leaves". Lovelace on MacTutor.

Sofia Kovalevskaya

Sofia Kovalevskaya (15 January 1850 to 10 February 1891, Moscow, Russia to Stockholm, Sweden) earned her doctorate from Göttingen in 1874 and won the Prix Bordin in 1886. She became a professor at Stockholm, one of the first women to hold a chair at a European university. Kovalevskaya on MacTutor.

Which Famous Mathematicians Shaped The 20th Century?

Twentieth-century mathematics gave the world computers, space flight and the deep algebra behind modern physics.

Srinivasa Ramanujan

Srinivasa Ramanujan (22 December 1887 to 26 April 1920, Erode to Kumbakonam, India) wrote to G H Hardy in January 1913 with pages of results and almost no formal training. He travelled to Trinity College in England in 1914 and was elected a Fellow of the Royal Society in 1918. Ramanujan on MacTutor.

Emmy Noether

Emmy Noether (23 March 1882 to 14 April 1935, Erlangen, Germany to Bryn Mawr, USA) is best known for abstract algebra. Noether's theorem links every symmetry in physics to a conservation law. Noether on MacTutor.

Alan Turing

Alan Turing (23 June 1912 to 7 June 1954, London, England) described the idea of a computing machine in his 1936 paper "On Computable Numbers". During the Second World War he helped break German Enigma codes at Bletchley Park. Turing on MacTutor.

Shiing-Shen Chern

Shiing-Shen Chern (26 October 1911 to 3 December 2004, Jiaxing to Tianjin, China) made important contributions to geometry and algebraic topology. He received the first Shaw Prize in Mathematics in 2004. Chern on MacTutor.

Katherine Johnson

Katherine Johnson (26 August 1918 to 24 February 2020, West Virginia to Virginia, USA) was an African-American mathematician whose trajectory work supported NASA's space programme, including Alan Shepard's flight in May 1961 and John Glenn's in February 1962. She received the Presidential Medal of Freedom on 16 November 2015. Johnson on MacTutor.

Who Is The Most Famous Mathematician Alive Today?

Terence Tao is one of the best-known living mathematicians, and the most recent era also includes Maryam Mirzakhani, who died in 2017. Fame among mathematicians is measured less by headlines than by prizes such as the Fields Medal.

Maryam Mirzakhani

Maryam Mirzakhani (12 May 1977 to 14 July 2017, Tehran, Iran to California, USA) worked on the geometry of curved surfaces. In 2014 she became the first woman awarded the Fields Medal. Mirzakhani on MacTutor.

Terence Tao

Terence Tao (born 17 July 1975, Adelaide, Australia) won the Fields Medal in 2006 for work spanning partial differential equations, combinatorics, harmonic analysis and number theory. Tao on MacTutor.

The Fields Medal is still awarded every four years at the International Congress of Mathematicians; the 2026 medals went to Yu Deng, John Pardon, Jacob Tsimerman and Hong Wang, according to the International Mathematical Union's medal list.

What Does A Timeline Of Famous Mathematicians Look Like?

A timeline of famous mathematicians shows how ideas passed between regions over thousands of years. Dates follow MacTutor; "about" marks an uncertain date.

Who Invented Zero: Aryabhata Or Brahmagupta?

Brahmagupta is the better answer, but no single person invented zero. Around 400 BC the Babylonians used a placeholder for an empty position, and around 500 Aryabhata built a place-value system that still had no zero, according to MacTutor's history of zero.

Brahmagupta, writing in 628, was the first to treat zero as a number with its own rules for adding, subtracting and multiplying. The earliest dated inscription of the zero symbol in India, at Gwalior, comes from 876. The Maya also developed their own zero independently.

I'll admit this question confused me for years, because "invented zero" mixes three different things: a gap in a number, a symbol for that gap, and a number you can calculate with. Separate those and the history makes sense.

Who Was The First Female Mathematician?

Hypatia of Alexandria is usually named first, and MacTutor describes her as the first woman to make a substantial contribution to the development of mathematics. Earlier women may have done mathematics, but very little reliable evidence about them survives.

After Hypatia, the record jumps more than a thousand years to Maria Gaetana Agnesi in 18th-century Milan, which says more about who was allowed to study and publish than about who could do mathematics.

Examples Of Ideas From Famous Mathematicians

These six short calculations let your child try the actual ideas, not just read the names.

Example 1

Pythagoras: does a triangle with sides 3, 4 and 5 have a right angle?

Check whether the two shorter sides squared add up to the longest side squared.

$$3^2 + 4^2 = 9 + 16 = 25$$

$$5^2 = 25$$

Final answer: yes, it is a right triangle. More on the rule in the Pythagoras theorem guide.

Example 2

Brahmagupta: what is a debt of 4 subtracted from zero?

In modern notation that is $0 - (-4)$. The tempting answer is $-4$: start at zero, see a minus sign, keep the minus. Check it on a number line: subtracting a negative means moving right, not left, so $-4$ cannot be right.

$$0 - (-4) = 0 + 4 = 4$$

Final answer: 4, a fortune. Brahmagupta wrote the rule as "a debt subtracted from zero is a fortune".

Example 3

Archimedes: does pi really sit between his two bounds?

$$3\frac{10}{71} = 3.1408\ldots$$

$$3\frac{1}{7} = 3.1428\ldots$$

$$\pi = 3.14159\ldots$$

Final answer: yes, $3.1408 < 3.14159 < 3.1428$. Archimedes squeezed pi between two polygons with 96 sides.

Example 4

Aryabhata: what decimal is $\frac{62832}{20000}$?

$$\frac{62832}{20000} = \frac{31416}{10000} = 3.1416$$

Final answer: 3.1416, which matches pi to four decimal places. Read more about pi and why it never ends.

Example 5

Zu Chongzhi: how close is $\frac{355}{113}$ to pi?

$$\frac{355}{113} = 3.1415929\ldots$$

$$\pi = 3.1415926\ldots$$

Final answer: the two agree to 6 decimal places and differ by about 0.0000003, an astonishing result for the 5th century.

Example 6

Fibonacci: what are the next two numbers after 1, 1, 2, 3, 5, 8?

Each number is the sum of the two before it.

$$5 + 8 = 13$$

$$8 + 13 = 21$$

Final answer: 13 and 21. In Liber abaci these count pairs of rabbits month by month.

What Do People Get Wrong About Famous Mathematicians?

Most myths about famous mathematicians come from crediting one person with ideas that many cultures built together. These four are the ones worth correcting with your child.

Mistake 1: Thinking Pythagoras Discovered The Theorem

Where it slips in: Textbooks that call it "Pythagoras' theorem" without context.

Don't do this: Tell your child Pythagoras was the first person to know the rule.

The correct way: Say the Babylonians knew it about 1000 years earlier and Pythagoras may have been the first to prove it.

Mistake 2: Treating Zero As One Invention

Where it slips in: Quiz questions asking "who invented zero?" with a single name.

Don't do this: Give one name and stop.

The correct way: Separate the placeholder (Babylonians), the symbol (Indian inscriptions, Maya) and zero as a number (Brahmagupta).

Mistake 3: Believing Maths Is A European Story

Where it slips in: Lists and posters that jump from Greece straight to Newton.

Don't do this: Skip the thousand years when India, China and the Islamic world led mathematics.

The correct way: Follow the ideas: place value and zero from India, algebra from Baghdad, then Fibonacci carrying them into Europe in 1202.

Children who first meet mathematicians through a poster of bearded Europeans often assume the subject belongs to someone else. Showing them Brahmagupta's debts and fortunes, or Katherine Johnson's trajectories, fixes that faster than any speech.

Mistake 4: Repeating Stories Nobody Can Check

Where it slips in: Anecdotes passed around online about childhood genius or dramatic deaths.

Don't do this: Present a famous story as fact without a source.

The correct way: Check the person's MacTutor biography; if a story is not there or is marked as legend, say so.

The habit of checking a date before repeating it is the same habit that catches a wrong answer in a maths problem. The child who asks "how do we know?" about history is the silent understander turning into an explainer.

How Can Your Child Learn From Famous Mathematicians?

Your child learns most from famous mathematicians by doing a small version of their work, not by memorising names. A short story followed by a ten-minute try makes the person real.

• Pick one person a week from the timeline and try their idea from the examples above.

• Ask your child to place each new name on the world map in Image Prompt 1.

• Turn Brahmagupta's fortunes and debts into a game with counters for money owed and money owned.

• Count Fibonacci numbers in a pine cone, sunflower or cauliflower at home.

• For older children, read the opening of a MacTutor biography together and spot one fact to check.

How Does Bhanzu Bring Mathematicians Into Lessons?

Bhanzu classes open new topics with the reason the idea was needed, and that reason is often a person with a problem: Brahmagupta trying to handle debts, Fibonacci counting rabbits, Archimedes trapping pi. Children learn the method after they see why someone invented it.

Classes run live and online from UKG to Grade 10, and each child starts at the level they are working at rather than their school grade.

This fits families who want their child to understand where ideas come from and to reason, not just recall. It is not the right fit for a family looking only for a history-of-maths reading course.

Where Can Your Child Explore Maths Beyond School?

If these stories make your child want more, these programmes go beyond the school syllabus:

• Math enrichment programs for curious children who want puzzles, patterns and history.

• Advanced math classes for kids online for children working ahead of their grade.

• Math classes for kids for steady learning at the right level.

• Math programs for kids for a longer, structured path.

Bottom Line

• Famous mathematicians come from Egypt, Greece, China, India, Baghdad, Japan, Europe, the USA and beyond.

• Big ideas such as zero, algebra and the right-triangle theorem were built by many cultures, not one genius.

• Women including Hypatia, Germain, Kovalevskaya, Noether, Johnson and Mirzakhani changed the subject despite being shut out.

• Trying a mathematician's actual idea teaches more than memorising the name.

Where Should Your Child Start?

Choose one mathematician tonight, try their example above together, and find their pin on the world map. If your child gets stuck on Brahmagupta's debts, come back to Example 2 and use counters. Want a live Bhanzu trainer to teach maths this way, starting from why each idea exists? Book a free demo class.

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