Regarded as the father of computer science and artificial intelligence, Alan Turing was a distinguished mathematician and logician. During WWII, he successfully broke the challenging German Enigma machine codes thereby reducing the duration of war by a couple of years. The scientist, who was convicted for being gay, has been an inspiration for numerous films, plays and novels.
A self-taught genius Indian mathematician, Srinivasa Ramanujan is known for his contributions to mathematical analysis, number theory and continued fractions. Born into a humble family, the celebrated mathematician struggled with poverty but still managed to publish first of his papers in the Journal of the Indian Mathematical Society. Later, his collaboration with English mathematician G. H. Hardy proved very productive.
Pythagoras was an Ionian Greek philosopher. He is credited with many scientific and mathematical discoveries, including the Sphericity of the Earth, the Theory of Proportions, the five regular solids, Pythagorean tuning, and the Pythagorean Theorem. Pythagoras influenced other philosophers like Plato and Aristotle. His philosophy also had a major impact on personalities like Isaac Newton, Johannes Kepler, and Nicolaus Copernicus.
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.
German mathematician and physicist Carl Friedrich Gauss is remembered for his work in math and science. Known as the Princeps mathematicorum, he laid down tenets such as the Gauss's Law. He had exhibited his talent since an early age and had completed writing Disquisitiones Arithmeticae by 21.
Leonhard Euler was a Swiss physicist, mathematician, logician, geographer, astronomer, and engineer. He is credited with making influential and important mathematical discoveries, such as graph theory and infinitesimal calculus. Widely regarded as one of the greatest and most prolific mathematicians of all time, Leonhard Euler also made pioneering contributions to analytic number theory and topology.
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.
Blaise Pascal was a French physicist, mathematician, philosopher, and inventor. A child prodigy, Pascal's work on projective geometry, at the age of 16 is commendable. He is one of the earliest inventors of the mechanical calculator, which he did when he was still a teenager. His work on probability theory influenced the development of social science and modern economics.
This 17th-century German mathematician, astronomer, and astrologer is remembered for his pathbreaking work on optics. He invented a developed version of the refracting telescope. He also laid down Kepler's laws of planetary motion and wrote Astronomia Nova, Harmonices Mundi, and Epitome Astronomiae Copernicanae.
20 Terence Tao
Terence Tao is an Australian-American mathematician who works at the University of California, Los Angeles as a professor of mathematics. Widely considered one of the most prominent living mathematicians, Tao was honored with the prestigious Fields Medal in 2006. In 2014, he was awarded the Breakthrough Prize in Mathematics.
Scottish physicist James Maxwell’s contributions included the formulation of the classical theory of electromagnetic radiation and the production of the first light-fast color photograph. His Maxwell–Boltzmann distribution explored the kinetic theory of gases. He has also written poems and was an Elder of the Church of Scotland.
An Italian astronomer, engineer, and physicist, Galileo Galilei is widely regarded as the father of observational astronomy, the father of the scientific method, the father of modern physics, and the father of modern science. He is credited with popularizing the telescope, which changed the course of history.
23 Omar Khayyam
Omar Khayyam was a Persian polymath, mathematician, philosopher, astronomer, and poet. In the field of mathematics, he is best known for his work on the classification and solution of cubic equations. As an astronomer, he designed a solar calendar known as the Jalali calendar. His philosophical attitude towards life had elements of pessimism, nihilism, Epicureanism, and fatalism.
Greek polymath Eratosthenes of Cyrene was a mathematician, poet, geographer, music theorist, and astronomer. He also served as the Library of Alexandria’s chief librarian. He was also the first to calculate the Earth’s circumference and the tilt of the Earth's axis. Nicknamed Pentathlos, he also invented many scientific terms.
26 Kurt Gödel
Hailed as one of the greatest logicians since Aristotle, Kurt Gödel was Austrian-born American mathematician, logician, and philosopher, who earned international stardom for his incompleteness theorem. Also credited with developing a technique called Gödel numbering, he later started working on Mathematical Platonism, a philosophical theory that failed to attract wide acceptance.
28 George Boole
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.
Ancient Indian astronomer and mathematician Brahmagupta is best remembered for laying down rules to calculate with zero and for penning the texts Brāhmasphuṭasiddhānta and Khaṇḍakhādyaka. His other achievements include his work on surds and positive and negative numbers. He also devised a formula for the area of a cyclic quadrilateral.
Muhammad ibn Musa al-Khwarizmi was a Persian polymath credited with producing influential works in the fields of geography, astronomy, and mathematics. He is referred to as the founder or father of algebra as he was the first person to recognize algebra as an independent discipline. He also made significant contributions to trigonometry; he produced precise sine and cosine tables.
One of the Seven Wise Men of Greece, Thales was a 6th-century mathematician who believed that the Earth was a flat disk floating on a huge ocean. Legend has it that he had predicted a solar eclipse that stopped a major battle and had also laid down several geometrical theorems.
32 G. H. Hardy
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.
German mathematician David Hilbert was first drawn to math inspired by his mother, who was a budding math enthusiast. He contributed to a host of concepts, theories, and postulates, such as Hilbert space, Hilbert's program, and Hilbert's problems. He died in oblivion, with a handful of people at his funeral.
34 Georg Cantor
Though French scholar Pierre-Simon Laplace is primarily known for his work on the solar system, his research extended to areas such as mathematics and physics, apart from astronomy. Widely known as the Newton of France, he escaped being executed during the French Revolution, owing to his lack of political views.
36 Emmy Noether
Emmy Noether was a German mathematician best remembered for her contributions to abstract algebra. She is credited with discovering Noether's theorem, which is regarded as a fundamental theorem in mathematical physics. One of the most important mathematicians of her generation and the most important woman in mathematics history, Emmy Noether developed theories of algebras, fields, and rings.
Apart from being a pioneer of Indology and geodesy, Persian scholar Abū Rayḥān al-Bīrūnī also worked on subjects such as anthropology, math, and ethnography. It is believed he didn’t know his father. He had penned many works, such as the encyclopaedic volume The Chronology of Ancient Nations.
38 Paul Erdős
Hungarian mathematician Paul Erdős spent most of his childhood at home, due to his mother’s overprotectiveness after his sisters died of scarlet fever. Known for his eccentricity, he used his own vocabulary. His contributions include the Ramsey theory, and he skipped many university job offers to continue working independently.
Noted mathematician and polymath, Benoit B. Mandelbrot is perhaps best known for his work on fractal. He not only coined the term, but also used computer-constructed images to illustrate the mathematical definition. Also credited with the discovery of Mandelbrot set and Mandelbrot law, he established that even those things which were apparently chaotic or rough had a "degree of order".
40 Andrew Wiles
English mathematician Sir Andrew John Wiles, a Royal Society Research Professor at the University of Oxford, is best known for proving the modularity theorem for semistable elliptic curves, thereby proving Fermat's Last Theorem for which he was awarded the Abel Prize and the Copley Medal by the Royal Society. He also proved the main conjecture of Iwasawa theory.
41 Isaac Newton
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.
Remembered as versatile mathematician, game wizard and polymath, John Horton Conway had limitless curiosity, which matched with his scientific originality. Although he is best known for devising the cellular automation called Game of Life, he made significant contributions to group theory, number theory, algebra, geometric topology, theoretical physics, combinatorial game theory and geometry. Conway published many outstanding papers in these fields.
Évariste Galois was a French mathematician best remembered for solving a 350-year-old problem when he was still in his teens. His work formed the basis for group theory and Galois theory, two important branches of abstract algebra. Also a political activist, Évariste Galois died at the age of 20 after suffering wounds in a duel.
Bernhard Riemann was a German mathematician best remembered for his contributions to number theory, analysis, and differential geometry. His paper on the prime-counting function, which was published in 1859, is considered one of the most influential papers in the history of analytic number theory. Riemann is widely regarded as one of the greatest mathematicians ever.
47 John Napier
John Napier was a Scottish mathematician, astronomer, and physicist. He is credited with introducing logarithms as a means of simplifying calculations. He also invented Napier's bones, a manually-operated calculating device. In addition to his interest in mathematics, John Napier was also known for his skills as a magician; it is said that he dabbled in necromancy and alchemy.
Nicolaus Copernicus was a mathematician and astronomer. He is credited with formulating Heliocentrism, which led to the Copernican Revolution. Although Aristarchus of Samos had formulated Heliocentrism 18 centuries earlier, Copernicus was responsible for popularizing it. Copernicus is also credited with formulating an economic principle, which was later called Gresham's law.
From proposing the wave theory of light to discovering the actual shape of the rings of Saturn and inventing the pendulum clock, Dutch scientist Christiaan Huygens had contributed a lot to science. Born to a diplomat, Huygens had the privilege of an elite education but remain sickly throughout his life.
Joseph Fourier was a French physicist and mathematician best remembered for commencing the investigation of the Fourier series, which is used widely to solve problems of heat transfer and vibrations. Fourier's law of conduction and Fourier transform are named in his honor. Fourier is also said to have discovered the greenhouse effect.