This page will contain additional articles about Isaac Newton, as they become available.Isaac NewtonSir Isaac Newton in Godfrey Kneller's 1689 portraitSir Isaac Newton, FRS (25 December 1642 – 20 March 1727 by the Julian calendar in use in England at the time; or 4 January 1643 – 31 March 1727 by the Gregorian calendar) was an English physicist, mathematician, astronomer, philosopher, and alchemist who wrote the Philosophiae Naturalis Principia Mathematica (published 5 July 16871), where he described universal gravitation and, via his laws of motion, laid the groundwork for classical mechanics. Newton also shares credit with Gottfried Wilhelm Leibniz for the development of differential calculus. While they both discovered calculus nearly contemporaneously, their work was not a collaboration. He is considered a genius of the highest order. Newton was the first to promulgate a set of natural laws that could govern both terrestrial motion and celestial motion. He is associated with the scientific revolution and the advancement of heliocentrism. Newton is also credited with providing mathematical substantiation for Kepler's laws of planetary motion. He would expand these laws by arguing that orbits (such as those of comets) were not only elliptic, but could also be hyperbolic and parabolic. He is also notable for his arguments that light was composed of particles (see wave-particle duality). He was the first to realise that the spectrum of colours observed when white light passed through a prism was inherent in the white light and not added by the prism as Roger Bacon had claimed in the 13th century. Newton also developed a law of cooling, describing the rate of cooling of objects when exposed to air; the binomial theorem in its entirety; and the principles of conservation of momentum and angular momentum. Finally, he studied the speed of sound in air, and voiced a theory of the origin of stars. Early life
Newton was born in Woolsthorpe-by-Colsterworth, a hamlet in the county of Lincolnshire. Newton was premature and no one expected him to live; indeed, his mother is reported to have said that his body at that time could have fit inside a quart mug. His father had died three months before Newton's birth. When Newton was two years old, his mother went to live with her new husband, leaving her son in the care of his grandmother.
From the age of 12 until he was 17, Newton was educated at Grantham Grammar School. His family then removed him from school and attempted to make a farmer of him. However he was thoroughly unhappy with the work and eventually with the help of his uncle and of his schoolteacher, he managed to persuade his mother to send him back to school so that he might complete his schooling. This he did at the age of 18, achieving an admirable final report. His teacher said:
In 1661 he joined Trinity College, Cambridge, where his uncle William Ayscough had studied. At that time the college's teachings were based on those of Aristotle, but Newton preferred to read the more advanced ideas of modern philosophers such as Descartes, Galileo, Copernicus and Kepler. In 1665 he discovered the binomial theorem and began to develop a mathematical theory that would later become calculus. Soon after Newton had obtained his degree in 1665, the University closed down as a precaution against the Great Plague. For the next two years Newton worked at home on calculus, optics and gravitation. The popular tradition has it that Newton was sitting under an apple tree when an apple fell on his head, and that this made him understand that earthly and celestial gravitation are the same. A contemporary writer, William Stukeley, recorded in his Memoirs of Sir Isaac Newton's Life a conversation with Newton in Kensington on 15 April 1726, in which Newton recalled "when formerly, the notion of gravitation came into his mind. It was occasioned by the fall of an apple, as he sat in contemplative mood. Why should that apple always descend perpendicularly to the ground, thought he to himself. Why should it not go sideways or upwards, but constantly to the earth's centre." In similar terms, Voltaire wrote in his Essay on Epic Poetry (1727), "Sir Isaac Newton walking in his gardens, had the first thought of his system of gravitation, upon seeing an apple falling from a tree." These accounts are exaggerations of Newton's own tale about sitting by a window in his home (Woolsthorpe Manor) and watching an apple fall from a tree. It is now generally considered probable that even this story was invented by Newton in later life, to illustrate how he drew inspiration from everyday events. Newton became a fellow of Trinity College in 1667. In the same year he circulated his findings in De Analysi per Aequationes Numeri Terminorum Infinitas (On Analysis by Infinite Series), and later in De methodis serierum et fluxionum (On the Methods of Series and Fluxions), whose title gave the name to his "method of fluxions". Newton and Leibniz developed the theory of calculus independently, using different notations. Although Newton had worked out his own method before Leibniz, the latter's notation and "Differential Method" were superior, and were generally adopted throughout the English-speaking world. (Curiously, in Germany the Newtonian notation is more popular.) Though Newton belongs among the brightest scientists of his era, the last 25 years of his life were marred by a bitter dispute with Leibniz, whom he accused of plagiarism. He was elected Lucasian professor of mathematics in 1669. Any fellow of Cambridge or Oxford had to be ordained at the time. However the terms of the Lucasian professorship required that the holder not be active in the church (presumably so as to have more time for science). Newton argued that this should exempt him from the normal ordination requirement, and Charles II, whose permission was needed, accepted this argument. This prevented the conflict that would have occurred between his religious views and the orthodoxy of the church. Scientific researchOpticsA replica of Newton's 6 inch reflecting telescope of 1672 for the Royal Society.From 1670 to 1672 he lectured on optics. During this period he investigated the refraction of light, demonstrating that a prism could decompose white light into a spectrum of colours, and that a lens and a second prism could recompose the multicoloured spectrum into white light. He also showed that the coloured light does not change its properties, by separating out a coloured beam and shining it on various objects. Newton noted that regardless of whether it was, reflected or scattered or transmitted, it stayed the same colour. Thus the colours we observe are the result of how objects interact with the incident already-coloured light, not the result of objects generating the colour. For more details, see Newton's theory of colour. From this work he concluded that any refracting telescope would suffer from the dispersion of light into colours, and invented a reflecting telescope (today, known as a Newtonian telescope) to bypass that problem. By grinding his own mirrors, using Newton's rings to judge the quality of the optics for his telescopes, he was able to produce a superior instrument to the refracting telescope, due primarily to the wider diameter of the mirror. (Only later, as glasses with a variety of refractive properties became available, did achromatic lenses for refractors become feasible.) In 1671 the Royal Society asked for a demonstration of his reflecting telescope. Their interest encouraged him to publish his notes On Colour, which he later expanded into his Opticks. When Robert Hooke criticised some of Newton's ideas, Newton was so offended that he withdrew from public debate. The two men remained enemies until Hooke's death. In one experiment, to prove that colour was caused by pressure on the eye, Newton slid a darning needle around the side of his eye until he could poke at its rear side, dispassionately noting "white, darke & coloured circles" so long as he kept stirring with "ye bodkin." He once said, in a letter to Hooke dated 5 February 1676:
In changing this quotation of Didacus Stella (Lucan (vol. II, 10)) from "Pigmies placed on the shoulders of giants see more than the giants themselves", Newton was perhaps making a more personal point than the mere expression of modesty — Hooke was a man of short stature. Although is it widely known and accepted that there was considerable antagonism between Newton and Robert Hooke, Newton does make the occasional respectful reference to Hooke's work. For example in Opticks, Book I Part II, referring to the combining effect of colour filters, Newton refers to Hooke's experiments: " ... Mr Hooke tried casually with glass wedges filled with red and blue Liquors, and was surprised at the unexpected Event, the reason of it being then unknown; which makes me trust the more to his experiment, though I have not tried it myself." Thus Newton was not completely without respect for Hooke. Newton argued that light is composed of particles; thus he could not explain the diffraction of light. Later physicists instead favoured a wave explanation of light to account for diffraction. Today's quantum mechanics recognises a "wave-particle duality"; however photons bear very little semblance to Newton's corpuscles (e.g., corpuscles refracted by accelerating toward the denser medium). Newton is believed to have been the first to explain precisely, the formation of the rainbow from water droplets dispersed in the atmosphere in a rain shower. Figure 15 of Part II of Book one of Opticks shows a perfect illustration of how this occurs. In his Hypothesis of Light of 1675, Newton posited the existence of the ether to transmit forces between particles. Newton was in contact with Henry More, the Cambridge Platonist who was born in Grantham, on alchemy, and now his interest in the subject revived. He replaced the ether with occult forces based on Hermetic ideas of attraction and repulsion between particles. John Maynard Keynes, who acquired many of Newton's writings on alchemy, stated that "Newton was not the first of the age of reason: he was the last of the magicians." Newton's interest in alchemy cannot be isolated from his contributions to science2. (This was at a time when there was no clear distinction between alchemy and science.) Had he not relied on the occult idea of action at a distance, across a vacuum, he might not have developed his theory of gravity. (See also Isaac Newton's occult studies.) Gravity and motionIn 1679, Newton returned to his work on mechanics, i.e., gravitation and its effect on the orbits of planets, with reference to Kepler's laws of motion, and consulting with Hooke and Flamsteed on the subject. He published his results in De Motu Corporum (1684). This contained the beginnings of the laws of motion that would inform the Principia. Philosophiae Naturalis Principia Mathematica (now known as the Principia) was published in 1687 with encouragement and financial help from Edmond Halley. In this work Newton stated the three universal laws of motion that were not to be improved upon for more than two hundred years. He used the Latin word gravitas (weight) for the force that would become known as gravity, and defined the law of universal gravitation. In the same work he presented the first analytical determination, based on Boyle's Law, of the speed of sound in air. With the Principia, Newton became internationally recognised. He acquired a circle of admirers, including the Swiss-born mathematician Nicolas Fatio de Duillier, with whom he formed an intense relationship that lasted until 1693. The end of this friendship led Newton to a nervous breakdown.
Later life
In the 1690s Newton wrote a number of religious tracts dealing with the literal interpretation of the Bible. Henry More's belief in the infinity of the universe and rejection of Cartesian dualism may have influenced Newton's religious ideas. A manuscript he sent to John Locke in which he disputed the existence of the Trinity was never published. Later works — The Chronology of Ancient Kingdoms Amended (1728) and Observations Upon the Prophecies of Daniel and the Apocalypse of St. John (1733) — were published after his death. He also devoted a great deal of time to alchemy (see above)2. Newton was also a member of Parliament from 1689 to 1690 and in 1701, but his only recorded comments were to complain about a cold draft in the chamber and request that the window be closed. Statue of Newton in the antechapel of Trinity College, CambridgeNewton moved to London to take up the post of warden of the Royal Mint in 1696, a position that he had obtained through the patronage of Charles Montagu, 1st Earl of Halifax, then Chancellor of the Exchequer. He took charge of England's great recoining, somewhat treading on the toes of Master Lucas (and finagling Edmond Halley into deputy comptroller of the temporary Chester branch). Newton became master of the Mint upon Lucas' death in 1699. These appointments were intended as sinecures, but Newton took them seriously, exercising his power to reform the currency and punish clippers and counterfeiters. He retired from his Cambridge duties in 1701. Ironically, it was his work at the Mint, rather than his contributions to science, which earned him a knighthood. In 1701 Newton anonymously published a law of thermodynamics now known as "Newton's law of cooling" in the Philosophical Transactions of the Royal Society. In 1703 Newton became President of the Royal Society and an associate of the French Académie des Sciences. In his position at the Royal Society, Newton made an enemy of John Flamsteed, the Astronomer Royal, by attempting to steal his catalogue of observations. In 1704 Newton wrote Opticks, in which he expounded his corpuscular theory of light. The book is also known for the first exposure of the idea of the interchangeability of mass and energy: "Gross bodies and light are convertible into one another...". Newton was knighted by Queen Anne in 1705, not for his scientific achievements but for his political presence. Newton never married, nor had any recorded children. He died in London and was buried in Westminster Abbey. It is believed Newton never had a romantic relationship, and he is said to have died a virgin. It is suspected that he could have been subject to Asperger syndrome, which is a form of autism. See Speculation of famous people who might have autism. His niece, Catherine Barton Conduitt3, served as his hostess in social affairs at his house on Jermyn Street in London; he was her "very loving Uncle"4, according to his letter to her when she was recovering from smallpox. Religious viewsThe law of gravity became Sir Isaac Newton's best-known discovery. Newton warned against using it to view the universe as a mere machine, like a great clock. He said, "Gravity explains the motions of the planets, but it cannot explain who set the planets in motion. God governs all things and knows all that is or can be done." Newton also wrote:
Though he is better known for his love of science, the Bible was Sir Isaac Newton's greatest passion. He devoted more time to the study of Scripture than to science, and said, "I have a fundamental belief in the Bible as the Word of God, written by those who were inspired. I study the Bible daily." Newton is often accused of being a unitarian and arian, and not believing in the church's doctrine of divine trinity. However, T.C. Pfizenmaier, argued that he more likely held the Eastern Orthodox view of the Trinity rather than the Western one held by Roman Catholics, Anglicans and most Protestant.7 He unsuccessfully attempted to find hidden messages within the Bible (See Bible code). Newton's legacyNewton's laws of motion and gravity provided a basis for predicting a wide variety of different scientific or engineering situations, especially the motion of celestial bodies. His calculus proved vitally important to the development of further scientific theories. Finally, he unified many of the isolated physics facts that had been discovered earlier into a satisfying system of laws. For this reason, he is generally considered one of history's greatest scientists, ranking alongside such figures as Einstein and Gauss. Also on a more practical level, to a large portion of households, Newton invented the cat flap. This was said to be done so that he wouldn't have to disrupt his optical experiments, conducted in a darkened room, to let his cat in or out. Fictional appearancesIsaac Newton is the hero of Rubrique-à-brac, a French comic strip by Marcel Gotlieb. An ongoing gag involves various depictions of the legend that he discovered the law of gravity due to an apple falling on his head. Newton also figures as a major character in Neal Stephenson's Baroque Cycle. Newton appeared, along with Stephen Hawking and Albert Einstein in a poker game in an episode of Star Trek: The Next Generation. Newton was notable in that scene for being the only scientist without a sense of humour. He also took offence at the notion that the story of the apple was fictitious. It is hinted that Isaac Newton is the true identity of Emperor Dornkirk in Vision of Escaflowne, although there are only hints and no actual confirmation. Newton often appears in the animated series "The Simpsons". One of the more memorable scenes that he appears in is when he is playing air hockey against Jimi Hendrix in heaven and Newton says:"That's game, Hendrix!" Quotations about Newton"The Principia is pre-eminent above any other production of human genius." —Pierre-Simon Laplace "Taking mathematics from the beginning of the world to the time when Newton lived, what he has done is much the better part." —Gottfried Leibniz "All that has been accomplished in mathematics since his day has been a deductive, formal, and mathematical development of mechanics on the basis of Newton's laws." —Ernst Mach "Nature and Nature's laws lay hid in night: God said, Let Newton be! and all was light." —poem, Alexander Pope Writings by Newton
Short Chronicle, The System of the World, Optical Lectures, Universal Arithmetic, The Chronology of Ancient Kingdoms, Amended and De mundi systemate were published posthumously in 1728. NotesNote 1: The remainder of the dates in this article follow the Gregorian calendar. Note 2: Westfall (pp. 530–531) notes that Newton apparently abandoned his alchemical researches. Note 3: Westfall, p. 44. Note 4: Westfall, p. 595. Note 5: Principia, Book III; cited in; Newton’s Philosophy of Nature: Selections from his writings, p. 42, ed. H.S. Thayer, Hafner Library of Classics, NY, 1953. Note 6: A Short Scheme of the True Religion, manuscript quoted in Memoirs of the Life, Writings and Discoveries of Sir Isaac Newton by Sir David Brewster, Edinburgh, 1850; cited in; ibid, p. 65. Note 7: Pfizenmaier, T.C., "Was Isaac Newton an Arian?" Journal of the History of Ideas 68(1):57–80, 1997. This page about Isaac Newton includes information from a Wikipedia article. Additional articles about Isaac Newton News stories about Isaac Newton External links for Isaac Newton Videos for Isaac Newton Wikis about Isaac Newton Discussion Groups about Isaac Newton Blogs about Isaac Newton Images of Isaac Newton |
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Note 7: Pfizenmaier, T.C., "Was Isaac Newton an Arian?" Journal of the History of Ideas 68(1):57–80, 1997. Hence, you cannot visit each of the bridges of Königsberg without retracing your steps. 65. The seven bridges problem is neither an Euler circuit nor Euler path. Note 6: A Short Scheme of the True Religion, manuscript quoted in Memoirs of the Life, Writings and Discoveries of Sir Isaac Newton by Sir David Brewster, Edinburgh, 1850; cited in; ibid, p. This means that it is possible to travel each line exactly once without retracing your steps, but you will not end where you began. Thayer, Hafner Library of Classics, NY, 1953. An Euler path has exactly two odd vertices. H.S. This means it is possible to travel each line exactly once without retracing your steps and end at the same point in which you started. 42, ed. An Euler circuit has all its points of even degree. Note 5: Principia, Book III; cited in; Newton’s Philosophy of Nature: Selections from his writings, p. Looking at how many lines came into a point gave that point a degree (a point with three lines touching it has a degree of three). 595. The solution to the seven bridges problem reduced the land masses to points and the bridges to lines (or edges) connecting those points. Note 4: Westfall, p. In 1736 Euler solved, or rather proved insoluble, a problem known as the seven bridges of Königsberg, publishing a paper Solutio problematis ad geometriam situs pertinentis which was the earliest application of graph theory or topology. 44. A generalization of Euler's formula for arbitrary planar graphs exists: F - E + V - C = 1, where C is the number of components in the graph. Note 3: Westfall, p. The Euler characteristic of a simply-connected manifold such as a sphere or a plane is 2. 530–531) notes that Newton apparently abandoned his alchemical researches. For nonplanar graphs, there is a generalization: If the graph can be embedded in a manifold M, then F - E + V = χ(M), where χ is the Euler characteristic of the manifold, a constant which is invariant under continuous deformations. Note 2: Westfall (pp. The theorem also applies to any planar graph. Note 1: The remainder of the dates in this article follow the Gregorian calendar. i.e.: F - E + V = 2. Short Chronicle, The System of the World, Optical Lectures, Universal Arithmetic, The Chronology of Ancient Kingdoms, Amended and De mundi systemate were published posthumously in 1728. Given such a polyhedron, the sum of the vertices and the faces is always the number of edges plus two. "Nature and Nature's laws lay hid in night: God said, Let Newton be! and all was light." —poem, Alexander Pope. In geometry and algebraic topology, there is a relationship (also called Euler's Formula) which relates the number of edges, vertices, and faces of a simply connected polyhedron. "All that has been accomplished in mathematics since his day has been a deductive, formal, and mathematical development of mechanics on the basis of Newton's laws." —Ernst Mach. In economics, Euler showed that if each factor of production is paid the value of its marginal product, then (under constant returns to scale) the total income and output will be completely exhausted. "Taking mathematics from the beginning of the world to the time when Newton lived, what he has done is much the better part." —Gottfried Leibniz. Euler wrote Tentamen novae theoriae musicae in 1739 which was an attempt to combine mathematics and music; a biography comments that the work was "for musicians too advanced in its mathematics and for mathematicians too musical". "The Principia is pre-eminent above any other production of human genius." —Pierre-Simon Laplace. He is a co-discoverer of the Euler-Maclaurin formula which is an extremely useful tool for calculation of difficult integrals, sums, and series. One of the more memorable scenes that he appears in is when he is playing air hockey against Jimi Hendrix in heaven and Newton says:"That's game, Hendrix!". Also in 1735, Euler defined the Euler-Mascheroni constant useful for differential equations:. Newton often appears in the animated series "The Simpsons". What Richard Feynman called "The most remarkable formula in mathematics" (more commonly called Euler's identity) is an easy consequence:. It is hinted that Isaac Newton is the true identity of Emperor Dornkirk in Vision of Escaflowne, although there are only hints and no actual confirmation. In essence, all functions studied in elementary analysis are either variations of the exponential function or they are polynomials. He also took offence at the notion that the story of the apple was fictitious. This is Euler's formula, which establishes the central role of the exponential function. Newton was notable in that scene for being the only scientist without a sense of humour. He also showed the usefulness, consistency, and simplicity of defining the exponent of an imaginary number by means of the formula. Newton appeared, along with Stephen Hawking and Albert Einstein in a poker game in an episode of Star Trek: The Next Generation. where ζ(s) is the Riemann zeta function. Newton also figures as a major character in Neal Stephenson's Baroque Cycle. Euler established his fame in 1735 by solving the long-standing Basel problem:. An ongoing gag involves various depictions of the legend that he discovered the law of gravity due to an apple falling on his head. In mathematical analysis, it was Euler who synthesised Leibniz's differential calculus with Isaac Newton's method of fluxions. Isaac Newton is the hero of Rubrique-à-brac, a French comic strip by Marcel Gotlieb. For example, φ(8) = 4 since the four numbers 1, 3, 5 and 7 are coprime to 8. This was said to be done so that he wouldn't have to disrupt his optical experiments, conducted in a darkened room, to let his cat in or out. The totient φ(n) of a positive integer n is defined to be the number of positive integers less than or equal to n and coprime to n. Also on a more practical level, to a large portion of households, Newton invented the cat flap. In number theory, Euler invented the totient function. For this reason, he is generally considered one of history's greatest scientists, ranking alongside such figures as Einstein and Gauss. The most famous of these approximations is known as Euler's method. Finally, he unified many of the isolated physics facts that had been discovered earlier into a satisfying system of laws. In particular, he is known for creating a series of approximations which are used in computational mechanics. His calculus proved vitally important to the development of further scientific theories. Euler made important contributions to the theory of differential equations. Newton's laws of motion and gravity provided a basis for predicting a wide variety of different scientific or engineering situations, especially the motion of celestial bodies. They are interesting chiefly because of the existence of shock waves. He unsuccessfully attempted to find hidden messages within the Bible (See Bible code). These equations are formally identical to the Navier-Stokes equations with zero viscosity. Pfizenmaier, argued that he more likely held the Eastern Orthodox view of the Trinity rather than the Western one held by Roman Catholics, Anglicans and most Protestant.7. He also deduced the Euler equations, a set of laws of motion in fluid dynamics, directly from Newton's laws of motion. However, T.C. Euler, with Daniel Bernoulli, established the law that the torque on a thin elastic beam is proportional to a measure of the elasticity of the material and the second moment of area of a cross section, about an axis through the center of mass and perpendicular to the plane of the moment, see Euler-Bernoulli beam equation. Newton is often accused of being a unitarian and arian, and not believing in the church's doctrine of divine trinity. When Euler died, the mathematician and philosopher Marquis de Condorcet commented, "...et il cessa de calculer et de vivre" (and he ceased to calculate and to live). I study the Bible daily.". However, a widely told anecdote that says that Euler challenged Denis Diderot at the court of Catherine the Great with "Sir, (a+b)n/n = x; hence God exists, reply!" is false. He devoted more time to the study of Scripture than to science, and said, "I have a fundamental belief in the Bible as the Word of God, written by those who were inspired. Euler was a deeply religious Calvinist throughout his life. Though he is better known for his love of science, the Bible was Sir Isaac Newton's greatest passion. It is reported by Legendre that often he would write down a complete mathematical proof between the first and the second call for supper. Newton also wrote:. It was not till the year 1910 that a collection of his complete works was published; it took about 70 volumes. God governs all things and knows all that is or can be done.". It has been calculated that it would take eight-hours work per day for 50 years to copy all his works by hand. He said, "Gravity explains the motions of the planets, but it cannot explain who set the planets in motion. It is reported that once he let his assistant calculate a series to 17 summands and noticed that his own result and the assistant's result differed in the 50th digit—a recalculation showed that Euler was right. Newton warned against using it to view the universe as a mere machine, like a great clock. Euler continued to be very productive, despite a complete loss of vision, due to his extraordinary powers of memory and mental calculation. The law of gravity became Sir Isaac Newton's best-known discovery. Petersburg in 1766, ruled by Catherine the Great at that time, and he remained there for the rest of his life. His niece, Catherine Barton Conduitt3, served as his hostess in social affairs at his house on Jermyn Street in London; he was her "very loving Uncle"4, according to his letter to her when she was recovering from smallpox. Therefore he returned to St. See Speculation of famous people who might have autism. His time in Berlin was very productive; however, he did not have an easy position due to a lack of the king's favor. It is suspected that he could have been subject to Asperger syndrome, which is a form of autism. In the year 1741 Euler became director of the mathematical class at the Prussian Academy of Sciences in Berlin. It is believed Newton never had a romantic relationship, and he is said to have died a virgin. The descendants of these children, however, were in high positions in Russia in the 19th century. He died in London and was buried in Westminster Abbey. They had thirteen children, of whom only three sons and two daughters survived. Newton never married, nor had any recorded children. In 1733 he married Katharina Gsell, the daughter of the director of the academy of arts. Newton was knighted by Queen Anne in 1705, not for his scientific achievements but for his political presence. In 1735 he lost much of his vision in the right eye due to excessive observation of the sun. The book is also known for the first exposure of the idea of the interchangeability of mass and energy: "Gross bodies and light are convertible into one another...". Euler was the first to publish a systematic introduction to mechanics in 1736: Mechanica sive motus scientia analytice exposita ("Mechanics or motion explained with analytical science"—that is, calculus). In 1704 Newton wrote Opticks, in which he expounded his corpuscular theory of light. Petersburg by Catherine I of Russia and became professor of physics in 1730, with an additional mathematics appointment in 1733. In his position at the Royal Society, Newton made an enemy of John Flamsteed, the Astronomer Royal, by attempting to steal his catalogue of observations. In 1727 Euler was called to St. In 1703 Newton became President of the Royal Society and an associate of the French Académie des Sciences. When Daniel and Nikolaus Bernoulli asked him to allow his son to study mathematics he finally agreed and Euler began to study mathematics. In 1701 Newton anonymously published a law of thermodynamics now known as "Newton's law of cooling" in the Philosophical Transactions of the Royal Society. Paul Euler had attended Jakob Bernoulli's mathematical lectures and respected his family. Ironically, it was his work at the Mint, rather than his contributions to science, which earned him a knighthood. There Euler met Daniel and Nikolaus Bernoulli, who noticed Euler's skills in mathematics. He retired from his Cambridge duties in 1701. In 1720 Euler began his studies at the University of Basel. These appointments were intended as sinecures, but Newton took them seriously, exercising his power to reform the currency and punish clippers and counterfeiters. Although in his childhood he exhibited great mathematical talents, his father wanted him to study theology and become a minister. Newton became master of the Mint upon Lucas' death in 1699. Leonhard Euler was born in Basel, Switzerland, the son of Paul Euler, a Lutheran minister. He took charge of England's great recoining, somewhat treading on the toes of Master Lucas (and finagling Edmond Halley into deputy comptroller of the temporary Chester branch). . Newton moved to London to take up the post of warden of the Royal Mint in 1696, a position that he had obtained through the patronage of Charles Montagu, 1st Earl of Halifax, then Chancellor of the Exchequer. The asteroid 2002 Euler is named in his honour. Newton was also a member of Parliament from 1689 to 1690 and in 1701, but his only recorded comments were to complain about a cold draft in the chamber and request that the window be closed. He was completely blind for the last seventeen years of his life, during which time he produced almost half of his total output. He also devoted a great deal of time to alchemy (see above)2. He dominated 18th century mathematics and deduced many consequences of the newly invented calculus. John (1733) — were published after his death. He is the most prolific mathematician of all time, his collected work filling 75 volumes. Later works — The Chronology of Ancient Kingdoms Amended (1728) and Observations Upon the Prophecies of Daniel and the Apocalypse of St. Petersburg. A manuscript he sent to John Locke in which he disputed the existence of the Trinity was never published. Petersburg, later in Berlin, and then returned to St. Henry More's belief in the infinity of the universe and rejection of Cartesian dualism may have influenced Newton's religious ideas. He worked as a professor of mathematics in St. In the 1690s Newton wrote a number of religious tracts dealing with the literal interpretation of the Bible. Born and educated in Basel, he was a mathematical child prodigy. The end of this friendship led Newton to a nervous breakdown. He is credited with being one of the first to apply calculus to physics. He acquired a circle of admirers, including the Swiss-born mathematician Nicolas Fatio de Duillier, with whom he formed an intense relationship that lasted until 1693. Leonhard Euler was the first to use the term "function" (defined by Leibniz in 1694) to describe an expression involving various arguments; i.e., y = F(x). With the Principia, Newton became internationally recognised. He is considered to be one of the greatest mathematicians who ever lived. In the same work he presented the first analytical determination, based on Boyle's Law, of the speed of sound in air. Leonhard Euler [oi'lər] (April 15, 1707–September 18, 1783) was a Swiss mathematician and physicist. He used the Latin word gravitas (weight) for the force that would become known as gravity, and defined the law of universal gravitation. Lexikon der Naturwissenschaftler, Spektrum Akademischer Verlag Heidelberg, 2000. In this work Newton stated the three universal laws of motion that were not to be improved upon for more than two hundred years. Fermats letzter Satz, Munich: Deutscher Taschenbuch Verlag. Philosophiae Naturalis Principia Mathematica (now known as the Principia) was published in 1687 with encouragement and financial help from Edmond Halley. (2000). This contained the beginnings of the laws of motion that would inform the Principia. Singh, Simon. He published his results in De Motu Corporum (1684). The giant book of scientists: The 100 greatest minds of all time, Sydney: The Book Company. In 1679, Newton returned to his work on mechanics, i.e., gravitation and its effect on the orbits of planets, with reference to Kepler's laws of motion, and consulting with Hooke and Flamsteed on the subject. (1996). (See also Isaac Newton's occult studies.). Simmons, J. (This was at a time when there was no clear distinction between alchemy and science.) Had he not relied on the occult idea of action at a distance, across a vacuum, he might not have developed his theory of gravity. Die großen Deutschen, volume 2, Berlin: Ullstein Verlag. John Maynard Keynes, who acquired many of Newton's writings on alchemy, stated that "Newton was not the first of the age of reason: he was the last of the magicians." Newton's interest in alchemy cannot be isolated from his contributions to science2. 1956. He replaced the ether with occult forces based on Hermetic ideas of attraction and repulsion between particles. Heimpell, Hermann, Theodor Heuss, Benno Reifenberg (editors). Newton was in contact with Henry More, the Cambridge Platonist who was born in Grantham, on alchemy, and now his interest in the subject revived. ISBN 0-88385-328-0. In his Hypothesis of Light of 1675, Newton posited the existence of the ether to transmit forces between particles. Euler: The Master of Us All, Washington: Mathematical Association of America. Figure 15 of Part II of Book one of Opticks shows a perfect illustration of how this occurs. Dunham, William (1999). Newton is believed to have been the first to explain precisely, the formation of the rainbow from water droplets dispersed in the atmosphere in a rain shower. English translation Introduction to Analysis of the Infinite by John Blanton (Book I, ISBN 0387968245, Springer-Verlag 1988; Book II, ISBN 0387971327, Springer-Verlag 1989). Today's quantum mechanics recognises a "wave-particle duality"; however photons bear very little semblance to Newton's corpuscles (e.g., corpuscles refracted by accelerating toward the denser medium). Introductio in analysin infinitorum. Later physicists instead favoured a wave explanation of light to account for diffraction. Euler, Leonhard (1748). Newton argued that light is composed of particles; thus he could not explain the diffraction of light. Euler Leonhardt : "Lettres à une Princesse d'Allemagne " ; free book at : http://www.bookmine.org ;. Mr Hooke tried casually with glass wedges filled with red and blue Liquors, and was surprised at the unexpected Event, the reason of it being then unknown; which makes me trust the more to his experiment, though I have not tried it myself." Thus Newton was not completely without respect for Hooke. "Read Euler: he is our master in everything." —Pierre-Simon Laplace. For example in Opticks, Book I Part II, referring to the combining effect of colour filters, Newton refers to Hooke's experiments: " .. Although is it widely known and accepted that there was considerable antagonism between Newton and Robert Hooke, Newton does make the occasional respectful reference to Hooke's work. II, 10)) from "Pigmies placed on the shoulders of giants see more than the giants themselves", Newton was perhaps making a more personal point than the mere expression of modesty — Hooke was a man of short stature. In changing this quotation of Didacus Stella (Lucan (vol. He once said, in a letter to Hooke dated 5 February 1676:. In one experiment, to prove that colour was caused by pressure on the eye, Newton slid a darning needle around the side of his eye until he could poke at its rear side, dispassionately noting "white, darke & coloured circles" so long as he kept stirring with "ye bodkin.". The two men remained enemies until Hooke's death. When Robert Hooke criticised some of Newton's ideas, Newton was so offended that he withdrew from public debate. Their interest encouraged him to publish his notes On Colour, which he later expanded into his Opticks. (Only later, as glasses with a variety of refractive properties became available, did achromatic lenses for refractors become feasible.) In 1671 the Royal Society asked for a demonstration of his reflecting telescope. By grinding his own mirrors, using Newton's rings to judge the quality of the optics for his telescopes, he was able to produce a superior instrument to the refracting telescope, due primarily to the wider diameter of the mirror. From this work he concluded that any refracting telescope would suffer from the dispersion of light into colours, and invented a reflecting telescope (today, known as a Newtonian telescope) to bypass that problem. For more details, see Newton's theory of colour. Thus the colours we observe are the result of how objects interact with the incident already-coloured light, not the result of objects generating the colour. Newton noted that regardless of whether it was, reflected or scattered or transmitted, it stayed the same colour. He also showed that the coloured light does not change its properties, by separating out a coloured beam and shining it on various objects. During this period he investigated the refraction of light, demonstrating that a prism could decompose white light into a spectrum of colours, and that a lens and a second prism could recompose the multicoloured spectrum into white light. From 1670 to 1672 he lectured on optics. This prevented the conflict that would have occurred between his religious views and the orthodoxy of the church. Newton argued that this should exempt him from the normal ordination requirement, and Charles II, whose permission was needed, accepted this argument. However the terms of the Lucasian professorship required that the holder not be active in the church (presumably so as to have more time for science). Any fellow of Cambridge or Oxford had to be ordained at the time. He was elected Lucasian professor of mathematics in 1669. (Curiously, in Germany the Newtonian notation is more popular.) Though Newton belongs among the brightest scientists of his era, the last 25 years of his life were marred by a bitter dispute with Leibniz, whom he accused of plagiarism. Although Newton had worked out his own method before Leibniz, the latter's notation and "Differential Method" were superior, and were generally adopted throughout the English-speaking world. Newton and Leibniz developed the theory of calculus independently, using different notations. In the same year he circulated his findings in De Analysi per Aequationes Numeri Terminorum Infinitas (On Analysis by Infinite Series), and later in De methodis serierum et fluxionum (On the Methods of Series and Fluxions), whose title gave the name to his "method of fluxions". Newton became a fellow of Trinity College in 1667. It is now generally considered probable that even this story was invented by Newton in later life, to illustrate how he drew inspiration from everyday events. Why should it not go sideways or upwards, but constantly to the earth's centre." In similar terms, Voltaire wrote in his Essay on Epic Poetry (1727), "Sir Isaac Newton walking in his gardens, had the first thought of his system of gravitation, upon seeing an apple falling from a tree." These accounts are exaggerations of Newton's own tale about sitting by a window in his home (Woolsthorpe Manor) and watching an apple fall from a tree. Why should that apple always descend perpendicularly to the ground, thought he to himself. It was occasioned by the fall of an apple, as he sat in contemplative mood. A contemporary writer, William Stukeley, recorded in his Memoirs of Sir Isaac Newton's Life a conversation with Newton in Kensington on 15 April 1726, in which Newton recalled "when formerly, the notion of gravitation came into his mind. The popular tradition has it that Newton was sitting under an apple tree when an apple fell on his head, and that this made him understand that earthly and celestial gravitation are the same. For the next two years Newton worked at home on calculus, optics and gravitation. Soon after Newton had obtained his degree in 1665, the University closed down as a precaution against the Great Plague. In 1665 he discovered the binomial theorem and began to develop a mathematical theory that would later become calculus. At that time the college's teachings were based on those of Aristotle, but Newton preferred to read the more advanced ideas of modern philosophers such as Descartes, Galileo, Copernicus and Kepler. In 1661 he joined Trinity College, Cambridge, where his uncle William Ayscough had studied. His teacher said:. This he did at the age of 18, achieving an admirable final report. However he was thoroughly unhappy with the work and eventually with the help of his uncle and of his schoolteacher, he managed to persuade his mother to send him back to school so that he might complete his schooling. His family then removed him from school and attempted to make a farmer of him. From the age of 12 until he was 17, Newton was educated at Grantham Grammar School. Eves:. Bell (1937, Simon and Schuster) and H. When Newton was two years old, his mother went to live with her new husband, leaving her son in the care of his grandmother. His father had died three months before Newton's birth. Newton was premature and no one expected him to live; indeed, his mother is reported to have said that his body at that time could have fit inside a quart mug. Newton was born in Woolsthorpe-by-Colsterworth, a hamlet in the county of Lincolnshire. . Finally, he studied the speed of sound in air, and voiced a theory of the origin of stars. Newton also developed a law of cooling, describing the rate of cooling of objects when exposed to air; the binomial theorem in its entirety; and the principles of conservation of momentum and angular momentum. He was the first to realise that the spectrum of colours observed when white light passed through a prism was inherent in the white light and not added by the prism as Roger Bacon had claimed in the 13th century. He is also notable for his arguments that light was composed of particles (see wave-particle duality). He would expand these laws by arguing that orbits (such as those of comets) were not only elliptic, but could also be hyperbolic and parabolic. Newton is also credited with providing mathematical substantiation for Kepler's laws of planetary motion. He is associated with the scientific revolution and the advancement of heliocentrism. Newton was the first to promulgate a set of natural laws that could govern both terrestrial motion and celestial motion. He is considered a genius of the highest order. While they both discovered calculus nearly contemporaneously, their work was not a collaboration. Newton also shares credit with Gottfried Wilhelm Leibniz for the development of differential calculus. Sir Isaac Newton, FRS (25 December 1642 – 20 March 1727 by the Julian calendar in use in England at the time; or 4 January 1643 – 31 March 1727 by the Gregorian calendar) was an English physicist, mathematician, astronomer, philosopher, and alchemist who wrote the Philosophiae Naturalis Principia Mathematica (published 5 July 16871), where he described universal gravitation and, via his laws of motion, laid the groundwork for classical mechanics. An Historical Account of Two Notable Corruptions of Scripture(1754). Arithmetica Universalis (1707). Reports as Master of the Mint (1701-1725). Opticks (1704). Philosophiae Naturalis Principia Mathematica (1687). De Motu Corporum (1684). Method of Fluxions (1671). |