Famous 19th Century British Mathematicians

Ada Lovelace was a mathematician known for her work on the Analytical Engine, a mechanical general-purpose computer proposed by Charles Babbage. Many believe that Lovelace was the first to recognize the potential of computers. It is also believed that she published the first algorithm after realizing that the algorithm could be carried out by a machine like the Analytical Engine.

Bertrand Russell was a British polymath and Nobel laureate. His work, which is spread across various fields, has had a considerable influence on philosophy, cognitive science, artificial intelligence, mathematics, linguistics, and logic. Russell is also credited with leading the revolt against idealism in Britain and is regarded as one of the founders of analytic philosophy.

George Boole is remembered for pioneering Boolean algebra, a tool used in digital computer circuits. More of a self-taught mathematician, Boole began teaching at 16 and later grew up to be a math professor at Queen’s College, Cork. His work in differential equations and algebraic logic was groundbreaking.

English mathematician G. H. Hardy is best recognised for his work and achievements in number theory and mathematical analysis, and also as mentor of distinguished Indian mathematician Srinivasa Ramanujan. He is noted for his essay on mathematics titled A Mathematician's Apology. He also made his mark in biology formulating a basic principle of population genetics called Hardy–Weinberg principle.  

Lord Kelvin was a British mathematical physicist and engineer. He studied at the Glasgow University and proceeded to teach there as well. Besides his academic career, he also had a career as an electric telegraph engineer and inventor. He received the Royal Society's Copley Medal in 1883. Absolute temperatures are stated in units of kelvin in his honor.

Alfred North Whitehead was a British mathematician and philosopher, best known for his collaboration with his student Bertrand Russell on Principal of Mathematics, a three-volume work on the foundations of mathematics. Also known for his pioneering works on process philosophy and metaphysics, he is credited with developing a comprehensive metaphysical system that differs from most Western philosophies.

Arthur Eddington was an English physicist, astronomer, and mathematician. He wrote numerous articles that explained Albert Einstein's theory of general relativity to the English-speaking world. He began his career in academics and eventually shifted to astronomy, becoming the chief assistant to the Astronomer Royal at the Royal Greenwich Observatory. He was a recipient of the Henry Draper Medal. 

One of the two pioneering female honorary members of the Royal Astronomical Society, Mary Somerville was a 19th-century polymath and science writer. Though she specialized in math and astronomy, she was also well-versed in botany and geology. The Connection of the Physical Sciences remains her most notable work.

The son of renowned astronomer William Herschel, John Herschel was educated at Eton and Cambridge and grew up to be a polymath. Apart from contributing to the field of photography, he was known for cataloguing and naming stars and satellites. He briefly also served as the Master of the Royal Mint.

Oliver Heaviside was an English mathematician and physicist. He invented a new technique for solving differential equations and independently developed vector calculus. He is also credited with rewriting Maxwell's equations in the form commonly used today. He formulated the telegrapher’s equations and invented the Heaviside step function as well. In 1922, he received the Faraday Medal.

One of the greatest statisticians of all time, Karl Pearson established the first university-level statistics department at UCL and also launched the statistics-oriented journal Biometrika. He was also well-versed in law and believed in eugenics. His The Grammar of Science later inspired Albert Einstein and other scientists.

William Henry Bragg was an English physicist, chemist, and mathematician. He is best known for sharing the  1915 Nobel Prize in Physics with his son Lawrence Bragg for their work in the analysis of crystal structure by means of X-rays. William Henry Bragg had an illustrious academic career and was elected president of the Royal Society in 1935. 

Born to legendary biologist Charles Darwin, George Darwin initially studied law and became a barrister. However, his interest in science made him deviate to astronomy. He believed the Moon was one part of the Earth. He later also taught at Cambridge and was made a Fellow of The Royal Society.

With one year of formal schooling, George Green was entirely self-taught until the age of forty, when he entered Gonville and Caius College, Cambridge. By then, he had published his first book, propagating what are now known as Green’s theorem and Green’s functions. A fellow of the Cambridge Philosophical Society, he also established Green's identities, Green's law, and Green's matrix.

British physicist, meteorologist, mathematician, psychologist and pacifist Lewis Fry Richardson was the first to apply modern mathematical techniques of weather forecasting to predict weather accurately. He also pioneered the use of similar methods in studying reasons of wars and the way to stop them. He proposed the iterative method called modified Richardson iteration for solving a system of linear equations.

James Jeans was an English physicist, astronomer, and mathematician who made great contributions to the areas of quantum theory, the theory of radiation, and stellar evolution. Along with Arthur Eddington, Jeans is a founder of British cosmology. He spent his academic career at Trinity College, Cambridge, and the Princeton University. He received the Royal Medal in 1919. 

Hertha Ayrton was a British engineer,  physicist, mathematician, and inventor. She is remembered for her work on electric arcs and ripple marks in sand and water, for which she was awarded the Hughes Medal by the Royal Society. As a woman in the 19th century, she had to face innumerable struggles in her career. She was also a passionate suffragist. 

Francis Ysidro Edgeworth was an Anglo-Irish economist and statistician, known for his significant contributions to the methods of statistics. An autodidact in mathematics and economics, he imaginatively applied mathematics to the fields of economics and statistics, writing several books, including Mathematical Psychics, presenting new ideas on various topics like on the generalized utility function, the indifference curve etc.  .

Born to a Scottish factor, mathematician Eric Temple Bell spent most of his life in the U.S. The Stanford alumnus contributed to the analytic number theory and also taught math at institutes such as Caltech. He also penned sci-fi novels such as The Time Stream as John Taine.

Dugald Stewart was a Scottish mathematician and philosopher best remembered for his efforts to popularize the works of Adam Smith and Francis Hutcheson. Considered one of the most prominent personalities of the Scottish Enlightenment, Stewart played a major role in explaining the Scottish Common Sense Realism. Among his students were Sir Walter Scott, Sir Archibald Alison, and Sir James Mackintosh. 

Copley Medal-winning Irish physicist Joseph Larmor is best remembered for his physics book Aether and Matter. Known for his contribution to the fields of thermodynamics and the magnetic field, he now has a crater on the Moon and a scientific phenomenon called Larmor precession named after him.

British astrophysicist and cosmologist Edward Arthur Milne was a brilliant student and a Cambridge scholar. Remembered for his work on kinematic relativity, he introduced the Milne model, too. He applied the Saha equation in his studies on the spectral lines of stars and also lectured on Christianity.

Udny Yule was an English statistician best remembered for discovering the Yule distribution, a discrete probability distribution. A prolific writer, Yule wrote several books, including Introduction to the Theory of Statistics which has been used as a textbook. Yule is also remembered for his association with the Royal Statistical Society, where he served as the president from 1924 to 1926.

English mathematician, phonetician, and philologist Alexander John Ellis is remembered for his work on speech, song, and vocal and musical pitch. He also contributed immensely to the field of musicology. His best-known works include On Early English Pronunciation and The Alphabet of Nature.