Famous 18th Century British Mathematicians

One of the most influential and popular scientists of all time, Sir Isaac Newton played a prominent role in our understanding of natural phenomena. He formulated the law of universal gravitation and laws of motion. He also developed the Newtonian telescope among other devices. Apart from science, Newton was also intrigued by religion, occult, and alchemy.

Edmond Halley was an English astronomer and mathematician who was mainly concerned with practical applications of science. He abandoned college education to travel to St. Helena. He published catalogue of 341 southern stars with telescopically determined locations. Known for his wide range of interest, he helped Newton to publish his magnum opus,  Philosophiæ Naturalis Principia Mathematica. He used Newton's Law of Motion to compute periodicty of Halley’s Comet.

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.

David Brewster was a British scientist, inventor, and author. He conducted many experiments in physical optics, especially concerned with the study of the polarization of light. Fellow scientist William Whewell dubbed him the "father of modern experimental optics." He was also a pioneer in photography and invented an improved stereoscope. He wrote numerous works of popular science as well. 

Scottish engineer and political economist William Playfair is best-remembered as the inventor of statistical graphs and secret agent for Great Britain during its war with France. He published the first data graphs in his book The Commercial and Political Atlas. He used line, area and bar charts to represent the economy of 18th Century England and introduced the pie chart.

William Whewell was an English polymath, scientist, philosopher, theologian, and historian of science. He worked in a wide range of fields, publishing works in the disciplines of physics, mechanics, geology, economics, and astronomy. He also wrote poetry, sermons, and theological tracts. He is credited with coining the terms linguistics, physicist, consilience, scientist, catastrophism, and uniformitarianism.

Colin Maclaurin was a Scottish mathematician best remembered for his contributions to algebra and geometry. A child prodigy, Maclaurin became one of the youngest professors in history when he became a professor of mathematics at the age of 19. Colin Maclaurin also contributed immensely to the study of elliptic integrals and is credited with discovering the Euler–Maclaurin formula.

British moral-philosopher Richard Price is best-remembered for significantly editing Bayes–Price theorem. He edited An Essay towards solving a Problem in the Doctrine of Chances, a major-work of his deceased friend Thomas Bayes. It appeared in Philosophical Transactions and included Bayes' Theorem. His work on legacy of Bayes, led Price to get elected as a Fellow of the Royal Society.

James Ivory was a British mathematician and astronomer best remembered for developing Ivory's Theorem. In 1814, he was honored with the prestigious Copley Medal for publishing several important memoirs.

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. 

William Hopkins was an English geologist and mathematician. He is remembered for serving as a private tutor of prospective undergraduate Cambridge mathematicians, which earned him the nickname senior-wrangler maker. Hopkins also played first-class cricket and was associated with Cambridge University Cricket Club. He had an unfortunate end to his life as he spent his final years in a lunatic asylum.

John Keill was a Scottish natural philosopher, mathematician, and cryptographer. He is best remembered for his work Examination of Dr. Burnet's Theory of the Earth, which earned him fame in the English academic community. In 1711, John Keill started serving as a decipherer under Anne, Queen of Great Britain and was instrumental in explaining several old manuscripts to the sovereign.

Apart from being a renowned astronomer, Alexander Wilson was also a qualified surgeon and once co-owned a type-founding business, too. He pioneered the use of kites in meteorological research and also co-founded the Royal Society of Edinburgh. He has a lunar crater named after him.