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75-683: Lardner is a surname. Notable people with the surname include: Dionysius Lardner (1793–1859), Irish scientific writer Demi Lardner , Australian comedian James Carrige Rushe Lardner (1879–1925), Irish Nationalist Member of the UK Parliament James L. Lardner (1802–1881), American Civil War admiral John Lardner (born 1973), Scottish snooker player John Lardner (sports writer) (1912–1960), American sports journalist Kym Lardner (born 1957), Australian children's author, illustrator, and storyteller Larry Lardner , Brigade Commandant for
150-546: A broader syllabus and more interest in applications; but William Whewell found the programme unacceptable. A controversy Babbage had with Richard Jones lasted for six years. He never did give a lecture. It was during this period that Babbage tried to enter politics. Simon Schaffer writes that his views of the 1830s included disestablishment of the Church of England , a broader political franchise , and inclusion of manufacturers as stakeholders. He twice stood for Parliament as
225-531: A candidate for the borough of Finsbury . In 1832 he came in third among five candidates, missing out by some 500 votes in the two-member constituency when two other reformist candidates, Thomas Wakley and Christopher Temple, split the vote. In his memoirs Babbage related how this election brought him the friendship of Samuel Rogers : his brother Henry Rogers wished to support Babbage again, but died within days. In 1834 Babbage finished last among four. In 1832, Babbage, Herschel and Ivory were appointed Knights of
300-700: A conventional resident don , and inattentive to his teaching responsibilities, he wrote three topical books during this period of his life. He was elected a Foreign Honorary Member of the American Academy of Arts and Sciences in 1832. Babbage was out of sympathy with colleagues: George Biddell Airy , his predecessor as Lucasian Professor of Mathematics at Trinity College, Cambridge, thought an issue should be made of his lack of interest in lecturing. Babbage planned to lecture in 1831 on political economy . Babbage's reforming direction looked to see university education more inclusive, universities doing more for research,
375-466: A divine legislator. In this book, Babbage dealt with relating interpretations between science and religion; on the one hand, he insisted that "there exists no fatal collision between the words of Scripture and the facts of nature;" on the other hand, he wrote that the Book of Genesis was not meant to be read literally in relation to scientific terms. Against those who said these were in conflict, he wrote "that
450-499: A fast and lifelong friendship with Herschel and with Babbage, who was then quite young. I would ask any fair-minded mathematician to read Babbage's Ninth Bridgewater Treatise and compare it with the works of his contemporaries in England; and then ask himself whence came the peculiar conception of the nature of miracle which underlies Babbage's ideas of Singular Points on Curves (Chap, viii) – from European Theology or Hindu Metaphysic? Oh! how
525-499: A history of Scotland and Thomas Moore contributed a history of Ireland. Connop Thirlwall provided a history of Ancient Greece , whilst Robert Southey provided a section on naval history. Many eminent scientists contributed as well. Lardner himself was the author of the treatises on arithmetic, geometry, heat, hydrostatics and pneumatics , mechanics (in conjunction with Henry Kater ) and electricity (in conjunction with C.V. Walker ). The Cabinet Library (9 vols., 1830–1832),
600-628: A judgment of £8,000. The Heavisides were divorced in 1845, and in 1846 Lardner was able to marry Mary Heaviside. The scandal caused by his affair with a married woman effectively ended his career in England, so Lardner and his wife remained in Paris until shortly before his death in 1859. He was able to maintain his career by lecturing in the United States between 1841 and 1844, which proved financially rewarding, realising £40,000. He died in Naples , Italy, and
675-635: A later visit to Piedmont . In April 1828 he was in Rome , and relying on Herschel to manage the difference engine project, when he heard that he had become a professor at Cambridge, a position he had three times failed to obtain (in 1820, 1823 and 1826). Babbage was instrumental in founding the Royal Astronomical Society in 1820, initially known as the Astronomical Society of London. Its original aims were to reduce astronomical calculations to
750-639: A major setback as a result of his involvement with Mary Spicer Heaviside, the wife of Captain Richard Heaviside, of the Dragoon Guards . He had previously been married to Cecilia Flood from 1815 to their separation in 1820. Lardner ran off to Paris with Mrs Heaviside, pursued by her husband. When he caught up with them, Heaviside subjected Lardner to a flogging but he was unable to persuade his wife to return with him. Later that year he successfully sued Lardner for " criminal conversation " (adultery) and received
825-498: A meeting hosted by John Chapman to campaign against the Booksellers Association, still a cartel . It has been written that "what Arthur Young was to agriculture, Charles Babbage was to the factory visit and machinery". Babbage's theories are said to have influenced the layout of the 1851 Great Exhibition , and his views had a strong effect on his contemporary George Julius Poulett Scrope . Karl Marx argued that
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#1732851269401900-401: A more standard form, and to circulate data. These directions were closely connected with Babbage's ideas on computation, and in 1824 he won its Gold Medal , cited "for his invention of an engine for calculating mathematical and astronomical tables ". Babbage's motivation to overcome errors in tables by mechanisation had been a commonplace since Dionysius Lardner wrote about it in 1834 in
975-477: A nephew wrote to say that Babbage was born one year earlier, in 1791. The parish register of St. Mary's , Newington , London, shows that Babbage was baptised on 6 January 1792, supporting a birth year of 1791. Babbage was one of four children of Benjamin Babbage and Betsy Plumleigh Teape. His father was a banking partner of William Praed in founding Praed's & Co. of Fleet Street , London, in 1801. In 1808,
1050-558: A principle openly borrowed from the Jacquard loom . Babbage had a broad range of interests in addition to his work on computers covered in his 1832 book Economy of Manufactures and Machinery . He was an important figure in the social scene in London, and is credited with importing the "scientific soirée" from France with his well-attended Saturday evening soirées . His varied work in other fields has led him to be described as "pre-eminent" among
1125-505: A specific person led you to this page, you may wish to change that link by adding the person's given name (s) to the link. Retrieved from " https://en.wikipedia.org/w/index.php?title=Lardner&oldid=1171010826 " Category : Surnames Hidden categories: Articles with short description Short description is different from Wikidata All set index articles Dionysius Lardner Dionysius Lardner FRS FRSE (3 April 1793 – 29 April 1859)
1200-402: A translation from French of the lectures of Sylvestre Lacroix , which was then the state-of-the-art calculus textbook. Reference to Lagrange in calculus terms marks out the application of what are now called formal power series . British mathematicians had used them from about 1730 to 1760. As re-introduced, they were not simply applied as notations in differential calculus . They opened up
1275-855: A uniform rate that was put into effect with the introduction of the Uniform Fourpenny Post supplanted by the Uniform Penny Post in 1839 and 1840. Colby was another of the founding group of the Society. He was also in charge of the Survey of Ireland . Herschel and Babbage were present at a celebrated operation of that survey, the remeasuring of the Lough Foyle baseline. The Analytical Society had initially been no more than an undergraduate provocation. During this period it had some more substantial achievements. In 1816, Babbage, Herschel and Peacock published
1350-531: Is a Divine energy which overrides what we familiarly call the laws of nature." He alluded to the limits of human experience, expressing: "all that we see in a miracle is an effect which is new to our observation, and whose cause is concealed. The cause may be beyond the sphere of our observation, and would be thus beyond the familiar sphere of nature; but this does not make the event a violation of any law of nature. The limits of man's observation lie within very narrow boundaries, and it would be arrogance to suppose that
1425-521: Is an inherent assumption in Frederick Winslow Taylor 's scientific management . Mary Everest Boole claimed that there was profound influence – via her uncle George Everest – of Indian thought in general and Indian logic , in particular, on Babbage and on her husband George Boole , as well as on Augustus De Morgan : Think what must have been the effect of the intense Hinduizing of three such men as Babbage, De Morgan, and George Boole on
1500-573: Is buried in the Cimitero degli Inglesi there. Lardner became involved in a number of ill-advised public disagreements with Isambard Kingdom Brunel regarding technical matters, in which he came off the worse. During the 1833 Parliamentary hearings discussing the proposal of the Great Western Railway, Lardner criticised Brunel's design of the Box Tunnel . The tunnel had a 1-in-100 gradient from
1575-493: Is that skilled workers typically spend parts of their time performing tasks that are below their skill level. If the labour process can be divided among several workers, labour costs may be cut by assigning only high-skill tasks to high-cost workers, restricting other tasks to lower-paid workers. He also pointed out that training or apprenticeship can be taken as fixed costs; but that returns to scale are available by his approach of standardisation of tasks, therefore again favouring
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#17328512694011650-772: The Edinburgh Cabinet Library (38 vols., 1830–1844) and the Museum of Science and Art (12 vols., 1854–1856) were his other chief undertakings. A few original papers appear in the Royal Irish Academy's Transactions (1824), in the Royal Society 's Proceedings (1831–1836) and in the Astronomical Society's Monthly Notices (1852–1853); and two Reports to the British Association on railway constants (1838, 1841) are from his pen. In 1840 Lardner's career received
1725-464: The Edinburgh Review (under Babbage's guidance). The context of these developments is still debated. Babbage's own account of the origin of the difference engine begins with the Astronomical Society's wish to improve The Nautical Almanac . Babbage and Herschel were asked to oversee a trial project, to recalculate some part of those tables. With the results to hand, discrepancies were found. This
1800-682: The Royal Guelphic Order , however they were not subsequently made knights bachelor to entitle them to the prefix Sir , which often came with appointments to that foreign order (though Herschel was later created a baronet ). Babbage now emerged as a polemicist . One of his biographers notes that all his books contain a "campaigning element". His Reflections on the Decline of Science and some of its Causes (1830) stands out, however, for its sharp attacks. It aimed to improve British science, and more particularly to oust Davies Gilbert as President of
1875-677: The Statistical Society followed. Babbage was its public face, backed by Richard Jones and Robert Malthus . Babbage published On the Economy of Machinery and Manufactures (1832), on the organisation of industrial production . It was an influential early work of operational research . John Rennie the Younger in addressing the Institution of Civil Engineers on manufacturing in 1846 mentioned mostly surveys in encyclopaedias, and Babbage's book
1950-469: The University of Edinburgh , with the recommendation of Pierre Simon Laplace ; the post went to William Wallace . With Herschel, Babbage worked on the electrodynamics of Arago's rotations , publishing in 1825. Their explanations were only transitional, being picked up and broadened by Michael Faraday . The phenomena are now part of the theory of eddy currents , and Babbage and Herschel missed some of
2025-482: The exponential map ). But via Herschel he was influenced by Arbogast's ideas in the matter of iteration , i.e. composing a function with itself, possibly many times. Writing in a major paper on functional equations in the Philosophical Transactions (1815/6), Babbage said his starting point was work of Gaspard Monge . From 1828 to 1839, Babbage was Lucasian Professor of Mathematics at Cambridge. Not
2100-444: The factory system . His view of human capital was restricted to minimising the time period for recovery of training costs. Another aspect of the work was its detailed breakdown of the cost structure of book publishing. Babbage took the unpopular line, from the publishers' perspective, of exposing the trade's profitability. He went as far as to name the organisers of the trade's restrictive practices. Twenty years later he attended
2175-575: The 19th century, the success of the finished engine indicated that Babbage's machine would have worked. Babbage's birthplace is disputed, but according to the Oxford Dictionary of National Biography he was most likely born at 44 Crosby Row, Walworth Road , London, England. A blue plaque on the junction of Larcom Street and Walworth Road commemorates the event. His date of birth was given in his obituary in The Times as 26 December 1792; but then
2250-482: The 3,500 mi (5,600 km) transatlantic passage to New York, at a meeting of the British Association for the Advancement of Science, Lardner stated that: As the project of making the voyage directly from New York to Liverpool, it was perfectly chimerical, and they might as well talk of making the voyage from New York to the moon... 2,080 mi (3,350 km) is the longest run that a steamer could encounter – at
2325-819: The Almighty which afterwards so much disgusted me in my youthful years. Rejecting the Athanasian Creed as a "direct contradiction in terms", in his youth he looked to Samuel Clarke 's works on religion, of which Being and Attributes of God (1704) exerted a particularly strong influence on him. Later in life, Babbage concluded that "the true value of the Christian religion rested, not on speculative [theology] ... but ... upon those doctrines of kindness and benevolence which that religion claims and enforces, not merely in favour of man himself but of every creature susceptible of pain or of happiness." In his autobiography Passages from
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2400-671: The Babbage family moved into the old Rowdens house in East Teignmouth . Around the age of eight, Babbage was sent to a country school in Alphington near Exeter to recover from a life-threatening fever. For a short time, he attended King Edward VI Grammar School in Totnes , South Devon, but his health forced him back to private tutors for a time. Babbage then joined the 30-student Holmwood Academy , in Baker Street, Enfield , Middlesex , under
2475-637: The Creator ever open to our examination, we possess a firm basis on which to raise the superstructure of an enlightened creed. The more man inquires into the laws which regulate the material universe, the more he is convinced that all its varied forms arise from the action of a few simple principles ... The works of the Creator, ever present to our senses, give a living and perpetual testimony of his power and goodness far surpassing any evidence transmitted through human testimony. The testimony of man becomes fainter at every stage of transmission, whilst each new inquiry into
2550-556: The English clergy of that day hated Babbage's book! Babbage was raised in the Protestant form of the Christian faith, his family having inculcated in him an orthodox form of worship. He explained: My excellent mother taught me the usual forms of my daily and nightly prayer; and neither in my father nor my mother was there any mixture of bigotry and intolerance on the one hand, nor on the other of that unbecoming and familiar mode of addressing
2625-522: The Irish Academy. In 1828, Lardner was elected professor of natural philosophy and astronomy at University College, London , a position he held until he resigned his professorship in 1831. Lardner showed himself to be a successful populariser of science, giving talks on contemporary topics such as Babbage 's Difference Engine (1834). He was the author of numerous mathematical and physical treatises on such subjects as algebraic geometry (1823),
2700-524: The Irish Republican Army Nathanial Lardner (1684–1768), English theologian Rebecca Lardner (born 1971), English artist Ring Lardner (1885–1933), American writer Ring Lardner Jr. (1915–2000), American film screenwriter See also [ edit ] Lardner, Victoria , a locality [REDACTED] Surname list This page lists people with the surname Lardner . If an internal link intending to refer to
2775-451: The Life of a Philosopher (1864), Babbage wrote a whole chapter on the topic of religion, where he identified three sources of divine knowledge: He stated, on the basis of the design argument , that studying the works of nature had been the more appealing evidence, and the one which led him to actively profess the existence of God . Advocating for natural theology, he wrote: In the works of
2850-539: The Reverend Stephen Freeman. The academy had a library that prompted Babbage's love of mathematics. He studied with two more private tutors after leaving the academy. The first was a clergyman near Cambridge ; through him Babbage encountered Charles Simeon and his evangelical followers, but the tuition was not what he needed. He was brought home, to study at the Totnes school: this was at age 16 or 17. The second
2925-591: The Royal Society, which Babbage wished to reform. It was written out of pique, when Babbage hoped to become the junior secretary of the Royal Society, as Herschel was the senior, but failed because of his antagonism to Humphry Davy . Michael Faraday had a reply written, by Gerrit Moll , as On the Alleged Decline of Science in England (1831). On the front of the Royal Society Babbage had no impact, with
3000-515: The Whitmore sisters. He made a home in Marylebone in London and established a large family. On his father's death in 1827, Babbage inherited a large estate (value around £100,000, equivalent to £10.9 million or $ 15 million today), making him independently wealthy. After his wife's death in the same year he spent time travelling. In Italy he met Leopold II, Grand Duke of Tuscany , foreshadowing
3075-630: The accident. A committee of the Franklin Institute pointed out that there was no lightning present at that time and that the pumps had been faulty, the water indicator was ill-designed and the bridge bands made of cast iron rather than wrought iron. The Coroner's inquest jury were persuaded by Lardner that the accident was an 'act of God' but the company were careful to design their later locomotives with wrought-iron bands. Charles Babbage Charles Babbage KH FRS ( / ˈ b æ b ɪ dʒ / ; 26 December 1791 – 18 October 1871)
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3150-463: The barb that both Babbage and Brewster had received public money. In the debate of the period on statistics ( qua data collection) and what is now statistical inference , the BAAS in its Statistical Section (which owed something also to Whewell ) opted for data collection. This Section was the sixth, established in 1833 with Babbage as chairman and John Elliot Drinkwater as secretary. The foundation of
3225-610: The bland election of the Duke of Sussex to succeed Gilbert the same year. As a broad manifesto, on the other hand, his Decline led promptly to the formation in 1831 of the British Association for the Advancement of Science (BAAS). The Mechanics' Magazine in 1831 identified as Declinarians the followers of Babbage. In an unsympathetic tone it pointed out David Brewster writing in the Quarterly Review as another leader; with
3300-899: The clues to unification of electromagnetic theory , staying close to Ampère's force law . Babbage purchased the actuarial tables of George Barrett , who died in 1821 leaving unpublished work, and surveyed the field in 1826 in Comparative View of the Various Institutions for the Assurance of Lives . This interest followed a project to set up an insurance company, prompted by Francis Baily and mooted in 1824, but not carried out. Babbage did calculate actuarial tables for that scheme, using Equitable Society mortality data from 1762 onwards. During this whole period, Babbage depended awkwardly on his father's support, given his father's attitude to his early marriage, of 1814: he and Edward Ryan wedded
3375-420: The concept of a trade . John Ruskin went further, to oppose completely what manufacturing in Babbage's sense stood for. Babbage also affected the economic thinking of John Stuart Mill . George Holyoake saw Babbage's detailed discussion of profit sharing as substantive, in the tradition of Robert Owen and Charles Fourier , if requiring the attentions of a benevolent captain of industry , and ignored at
3450-507: The contradiction they have imagined can have no real existence, and that whilst the testimony of Moses remains unimpeached, we may also be permitted to confide in the testimony of our senses." The Ninth Bridgewater Treatise was quoted extensively in Vestiges of the Natural History of Creation . The parallel with Babbage's computing machines is made explicit, as allowing plausibility to
3525-417: The differential and integral calculus (1825), and the steam engine (1828). He also wrote hand-books on various departments of natural philosophy (1854–1856); but it is as the editor of Lardner's Cabinet Cyclopædia (1830–1844) that he is best remembered. The Cabinet Cyclopædia eventually comprised 133 volumes, and many of the ablest savants of the day contributed to it. Sir Walter Scott contributed
3600-406: The east end to the west end. Lardner asserted that if a train's brakes were to fail in the tunnel, it would accelerate to over 120 mph (190 km/h), at which speed the train would break up and kill the passengers. Brunel pointed out that Lardner's calculations totally disregarded air resistance and friction, a basic error. In 1836, when Brunel was proposing to build SS Great Western for
3675-450: The end of that distance she would require a relay of coals. Again, Brunel was able to show that Lardner's calculations were too simplistic. The principle that Brunel understood, which Lardner did not, was that the carrying capacity of a ship increases as the cube of its dimensions, whilst the water resistance only increases as the square of its dimensions. This meant that large ships were more fuel efficient, and could carry sufficient coal for
3750-460: The fields of functional equations (including the difference equations fundamental to the difference engine) and operator ( D-module ) methods for differential equations . The analogy of difference and differential equations was notationally changing Δ to D, as a "finite" difference becomes "infinitesimal". These symbolic directions became popular, as operational calculus , and pushed to the point of diminishing returns. The Cauchy concept of limit
3825-577: The first part of the book. The second part considered the "domestic and political economy" of manufactures. The book sold well, and quickly went to a fourth edition (1836). Babbage represented his work as largely a result of actual observations in factories, British and abroad. It was not, in its first edition, intended to address deeper questions of political economy; the second (late 1832) did, with three further chapters including one on piece rate . The book also contained ideas on rational design in factories, and profit sharing . In Economy of Machinery
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#17328512694013900-565: The long voyage across the Atlantic. Brunel was proved right when the Great Western steamed into New York harbour with 200 long tons (200 tonnes) of coal to spare. In 1838 while Brunel was building the broad-gauge Great Western Railway , Lardner carried out some experiments with the company's flagship locomotive, North Star . He asserted that, whilst the engine was capable of hauling 82 long tons (83 tonnes) at 33 mph (53 km/h), it
3975-494: The many polymaths of his century. Babbage, who died before the complete successful engineering of many of his designs, including his Difference Engine and Analytical Engine, remained a prominent figure in the ideating of computing. Parts of his incomplete mechanisms are on display in the Science Museum in London. In 1991, a functioning difference engine was constructed from the original plans. Built to tolerances achievable in
4050-585: The mathematical atmosphere of 1830–65. What share had it in generating the Vector Analysis and the mathematics by which investigations in physical science are now conducted? In 1837, responding to the series of eight Bridgewater Treatises , Babbage published his Ninth Bridgewater Treatise , under the title On the Power, Wisdom and Goodness of God, as manifested in the Creation . In this work Babbage weighed in on
4125-602: The post of Professor of Natural Philosophy and Astronomy there. He was influential in publicising Charles Babbage 's Difference Engine . Whilst lecturing in America Lardner was paid by Norris Brothers, the largest firm of locomotive builders, to investigate a fatal accident in Reading, near Philadelphia, where a boiler had exploded on a newly made train. Lardner pronounced that the accident had been caused by lightning, which meant that Norris Brothers were not personally liable for
4200-408: The side of uniformitarianism in a current debate. He preferred the conception of creation in which a God-given natural law dominated, removing the need for continuous "contrivance". The book is a work of natural theology , and incorporates extracts from related correspondence of Herschel with Charles Lyell . Babbage put forward the thesis that God had the omnipotence and foresight to create as
4275-415: The source of the productivity of the factory system was exactly the combination of the division of labour with machinery, building on Adam Smith , Babbage and Ure. Where Marx picked up on Babbage and disagreed with Smith was on the motivation for division of labour by the manufacturer: as Babbage did, he wrote that it was for the sake of profitability , rather than productivity, and identified an impact on
4350-432: The theory that transmutation of species could be pre-programmed. Jonar Ganeri, author of Indian Logic , believes Babbage may have been influenced by Indian thought; one possible route would be through Henry Thomas Colebrooke . Mary Everest Boole argues that Babbage was introduced to Indian thought in the 1820s by her uncle George Everest: Some time about 1825, [Everest] came to England for two or three years, and made
4425-499: The time of the separation, he began a relationship with a married woman, Anne Maria Darley Boursiquot, the wife of a Dublin wine merchant of Huguenot ancestry. It is believed that he fathered her son, Dion Boucicault , who became an actor and dramatist. Lardner provided him with financial support until 1840. Whilst in Dublin, Lardner began to write and lecture on scientific and mathematical matters, and to contribute articles for publication by
4500-447: The time. Charles Babbage's Saturday night soirées , held from 1828 into the 1840s, were important gathering places for prominent scientists, authors and aristocracy. Babbage is credited with importing the "scientific soirée" from France with his well-attended Saturday evening soirées . Works by Babbage and Ure were published in French translation in 1830; On the Economy of Machinery
4575-602: The university. Babbage, John Herschel , George Peacock , and several other friends formed the Analytical Society in 1812; they were also close to Edward Ryan . As a student, Babbage was also a member of other societies such as The Ghost Club , concerned with investigating supernatural phenomena, and the Extractors Club, dedicated to liberating its members from the madhouse, should any be committed to one. In 1812, Babbage transferred to Peterhouse, Cambridge . He
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#17328512694014650-433: The works of the Almighty gives to us more exalted views of his wisdom, his goodness, and his power. Like Samuel Vince , Babbage also wrote a defence of the belief in divine miracles . Against objections previously posed by David Hume , Babbage advocated for the belief of divine agency, stating "we must not measure the credibility or incredibility of an event by the narrow sphere of our own experience, nor forget that there
4725-612: Was an Irish scientific writer who popularised science and technology, and edited the 133-volume Cabinet Cyclopædia . He was born in Dublin on 3 April 1793 the son of William Lardner and his wife; his father was a solicitor in Dublin, who wished his son to follow the same calling. After some years of uncongenial desk work, Lardner entered Trinity College, Dublin , in 1812. He obtained a B.A. in 1817 and an M.A. in 1819, winning many prizes. He married Cecilia Flood on 19 December 1815, but they separated in 1820 and were divorced in 1835. About
4800-593: Was an Oxford tutor, under whom Babbage reached a level in Classics sufficient to be accepted by the University of Cambridge. Babbage arrived at Trinity College, Cambridge , in October 1810. He was already self-taught in some parts of contemporary mathematics; he had read Robert Woodhouse , Joseph Louis Lagrange , and Maria Gaetana Agnesi . As a result, he was disappointed in the standard mathematical instruction available at
4875-544: Was an English polymath . A mathematician, philosopher, inventor and mechanical engineer, Babbage originated the concept of a digital programmable computer. Babbage is considered by some to be " father of the computer ". He is credited with inventing the first mechanical computer , the Difference Engine , that eventually led to more complex electronic designs, though all the essential ideas of modern computers are to be found in his Analytical Engine , programmed using
4950-435: Was described what is now called the "Babbage principle". It pointed out commercial advantages available with more careful division of labour . As Babbage himself noted, it had already appeared in the work of Melchiorre Gioia in 1815. The term was introduced in 1974 by Harry Braverman . Related formulations are the "principle of multiples" of Philip Sargant Florence , and the "balance of processes". What Babbage remarked
5025-504: Was easily rectified and the North Star's performance immediately improved. At the next meeting of the company's directors, Brunel triumphantly dismissed Lardner's evidence. Lardner is mentioned in Karl Marx 's Das Kapital and was well respected as an economist. He mixed with the rich and famous. He was involved in the founding of the University of London and was the first person to hold
5100-560: Was elected a Fellow of the Royal Society in 1816. After graduation, on the other hand, he applied for positions unsuccessfully, and had little in the way of a career. In 1816 he was a candidate for a teaching job at Haileybury College ; he had recommendations from James Ivory and John Playfair , but lost out to Henry Walter . In 1819, Babbage and Herschel visited Paris and the Society of Arcueil , meeting leading French mathematicians and physicists. That year Babbage applied to be professor at
5175-625: Was first an article in the Encyclopædia Metropolitana , the form in which Rennie noted it, in the company of related works by John Farey Jr. , Peter Barlow and Andrew Ure . From An essay on the general principles which regulate the application of machinery to manufactures and the mechanical arts (1827), which became the Encyclopædia Metropolitana article of 1829, Babbage developed the schematic classification of machines that, combined with discussion of factories, made up
5250-526: Was in 1821 or 1822, and was the occasion on which Babbage formulated his idea for mechanical computation. The issue of the Nautical Almanac is now described as a legacy of a polarisation in British science caused by attitudes to Sir Joseph Banks , who had died in 1820. Babbage studied the requirements to establish a modern postal system , with his friend Thomas Frederick Colby , concluding there should be
5325-437: Was kept at bay. Woodhouse had already founded this second "British Lagrangian School" with its treatment of Taylor series as formal. In this context function composition is complicated to express, because the chain rule is not simply applied to second and higher derivatives. This matter was known to Woodhouse by 1803, who took from Louis François Antoine Arbogast what is now called Faà di Bruno's formula . In essence it
5400-405: Was known to Abraham De Moivre (1697). Herschel found the method impressive, Babbage knew of it, and it was later noted by Ada Lovelace as compatible with the analytical engine. In the period to 1820 Babbage worked intensively on functional equations in general, and resisted both conventional finite differences and Arbogast's approach (in which Δ and D were related by the simple additive case of
5475-399: Was only capable of hauling 16 long tons (16 tonnes) at 41 mph (66 km/h). He also recorded excessive fuel consumption at higher speeds. Lardner attributed this to the greater wind resistance of broad-gauge engines. Brunel and his assistant Daniel Gooch carried out their own experiments on the same locomotive and found that the only problem was that the blast pipe was too small. This
5550-492: Was the top mathematician there, but did not graduate with honours. He instead received a degree without examination in 1814. He had defended a thesis that was considered blasphemous in the preliminary public disputation, but it is not known whether this fact is related to his not sitting the examination. Considering his reputation, Babbage quickly made progress. He lectured to the Royal Institution on astronomy in 1815, and
5625-423: Was translated in 1833 into French by Édouard Biot , and into German the same year by Gottfried Friedenberg. The French engineer and writer on industrial organisation Léon Lalanne was influenced by Babbage, but also by the economist Claude Lucien Bergery , in reducing the issues to "technology". William Jevons connected Babbage's "economy of labour" with his own labour experiments of 1870. The Babbage principle
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