Isaac Newton (1642 to 1727) was an English mathematician and natural philosopher who formulated the laws of motion and the law of universal gravitation and helped invent calculus. His 1687 book, the Principia, described the physical world in mathematical terms and guided science for more than two centuries. Newton also transformed the study of light and color, and he spent his later decades as a senior official in London.
Early life of Isaac Newton
Newton was born at Woolsthorpe Manor, near Grantham in Lincolnshire. By the calendar then used in England his birthday was Christmas Day 1642, which is January 4, 1643 by the modern calendar. His father, a farmer also named Isaac, died about three months before his birth. When Newton was about two, his mother, Hannah Ayscough, remarried and left him with his grandmother, so he grew up with little family warmth.
He attended the Free Grammar School in Grantham. His mother first took him out of school to manage the family estate, but he showed no talent for it, and an uncle persuaded her to let him return and prepare for university. In 1661 he entered Trinity College, Cambridge, as a sizar, a student who received an allowance toward expenses in exchange for acting as a servant to other students.
He earned his bachelor’s degree in 1665. That summer the plague closed the university, and Newton went home to Lincolnshire. According to the MacTutor biography, in less than two years there, while still under 25, he began revolutionary work in mathematics, optics, physics and astronomy. Cambridge reopened in 1667, and he became a fellow of Trinity that year. In 1669 he took the Lucasian professorship of mathematics, which he held until 1702.
Major contributions of Isaac Newton
Laws of motion and universal gravitation
Newton’s best-known work is the Philosophiae Naturalis Principia Mathematica, or “Mathematical Principles of Natural Philosophy,” published in 1687. The astronomer Edmond Halley urged him to write it after asking what path a body follows under a force that weakens with the square of the distance. The book states three laws of motion. The first says that a body stays at rest or moves uniformly in a straight line unless a force acts on it. The other two link force to change in motion and describe forces as acting in pairs. Readers who want the details can find them in Newton’s laws of motion.
The Principia also presents the law of universal gravitation: every mass attracts every other mass, with a force that grows with the masses and falls with the square of the distance between them. Newton showed that such a force produces orbits shaped like ellipses and other conic sections. This let one law explain both falling objects on Earth and the paths of the Moon and planets. How stretched those elliptical paths are is measured today by orbital eccentricity.
Calculus
During the plague years Newton developed what he called the method of fluxions, the foundation of differential and integral calculus. His key insight was that integration is the inverse of differentiation. In practical terms, calculus gives a way to describe quantities that change continuously, such as the speed of a falling stone.
Newton did not publish this work promptly. The German mathematician Gottfried Leibniz later developed calculus independently, and the two men became rivals over who deserved credit. MacTutor says the dispute dominated much of the last part of Newton’s life.
Optics
Experiments with prisms led Newton to conclude that white light is a mixture of rays, each of which produces a different spectral color. In modern terms each color corresponds to a different wavelength, although Newton thought in terms of rays and particles. He reasoned, wrongly, that telescopes with glass lenses would always suffer from color fringing, so he designed and built a reflecting telescope that used a mirror. He gave one to the Royal Society, which elected him a fellow in 1672.
His first paper on light and color appeared that year in the society’s journal. Robert Hooke and Christiaan Huygens objected to parts of it, and Newton turned away from the society. He delayed publishing his full optical research until Hooke died in 1703. The result, Opticks, appeared in 1704 and covered the colors of thin films, now called Newton’s rings, and the diffraction of light.
Later career
Newton left Cambridge for London, becoming Warden of the Royal Mint in 1696 and Master in 1699, though he kept his Cambridge posts until 1701. At the Mint he led the recoinage and pursued counterfeiters. He became president of the Royal Society and was re-elected each year until his death. Queen Anne knighted him in 1705, and MacTutor describes him as the first scientist to be so honored for his work.
Newton never married. He died at Kensington in March 1727, and his body lay in state in the Jerusalem Chamber before burial in the nave of Westminster Abbey. Most of the Fellows of the Royal Society followed the coffin. His monument, designed by William Kent and carved by Michael Rysbrack, shows figures with a telescope, a prism and the instruments of the Mint.
Legacy of Isaac Newton
Newton’s mechanics worked so well that, by the middle of the nineteenth century, the Principia was seen as a model of scientific perfection. In the early twentieth century Albert Einstein showed that Newtonian gravity holds as a limiting case of general relativity. Newton’s theory is therefore not discarded. It remains an excellent approximation for planets, projectiles and most engineering problems, and physicists still regard the Principia as empirical science at its best.
Newton also set the pattern of modern physics: a few precise mathematical laws, tested against observation, that explain many different phenomena at once.
FAQs
When was Isaac Newton born? He was born at Woolsthorpe Manor in Lincolnshire on December 25, 1642 by the old English calendar, which is January 4, 1643 today.
What is Isaac Newton most famous for? He is best known for the three laws of motion and the law of universal gravitation in the Principia, and for helping develop calculus and the modern theory of color.
Did Newton or Leibniz invent calculus? Both did, working independently. Newton developed his method first but published later, which led to a bitter priority dispute.
What did Newton do at the Royal Mint? He served as Warden and then Master, oversaw a major recoinage and worked to stop counterfeiting.
Key facts
- Newton was born at Woolsthorpe Manor, Lincolnshire, on Christmas Day 1642 by the old English calendar (January 4, 1643 by the modern one).1
- He was Lucasian Professor at Cambridge from 1669 to 1702 and was elected a Fellow of the Royal Society in 1672.2
- The Principia was published in 1687 after prompting by Edmond Halley.1
- He became Master of the Royal Mint in 1699 and was knighted in 1705.2
- Newton died in March 1727 and was buried in Westminster Abbey.2
- Einstein showed that Newtonian gravity is a limiting case of general relativity.3
Related concepts
In the news
Quick checkWhat did Isaac Newton publish in 1687?Show answer
He published the Principia, which set out the three laws of motion and the law of universal gravitation.
Sources
- MacTutor History of Mathematics, Isaac Newton, https://mathshistory.st-andrews.ac.uk/Biographies/Newton/
- Westminster Abbey, Sir Isaac Newton, https://www.westminster-abbey.org/abbey-commemorations/commemorations/sir-isaac-newton/
- Stanford Encyclopedia of Philosophy, Newton's Philosophiae Naturalis Principia Mathematica, https://plato.stanford.edu/entries/newton-principia/
Editorially reviewed by Specialty Digest Editorial TeamLast reviewed November 4, 2026Researched and drafted with AI assistanceReport an issue
