Joseph Fourier, the 'Greenhouse Effect', and the Quest for a Universal

Total Page:16

File Type:pdf, Size:1020Kb

Joseph Fourier, the 'Greenhouse Effect', and the Quest for a Universal Joseph Fourier, the ‘greenhouse effect’, and the quest for a universal theory of terrestrial temperatures James R. Fleming The central role that the theory of terrestrial temperatures played in Fourier’s mathematical physics has not received the attention it deserves from historians, although his cryptic allusions to the heating of a greenhouse, taken out of context, have been widely cited by subsequent authors. Jean Baptiste Joseph Fourier (1768-1830) ogies in Fourier’s writings, they are not found in the works which I have already was known by his contemporaries as a central to his theory of terrestrial tempera- published’; he called this work a ‘resume’ friend of Napoleon, administrator, tures, nor are they unambiguous precursors that included results from several earlier Egyptologist, mathematician and scientist of today’s theory of the greenhouse effect. memoirs. According to John Herivel, one whose fortunes rose and fell with the politi- Of greater significance, I will clarify what of Fourier’s biographers, this essay was cal tides. He was a mathematics teacher, a Fourier actually wrote on the subject of ‘largely expository in character and added secret policeman, a political prisoner terrestrial temperatures and locate this topic nothing essentially new’ on the subject of (twice), governor of Egypt, prefect of Is&e within the context of his analytical theory of terrestrial temperatures3. and Rhone, baron, outcast, and perpetual heat. In the article, Fourier discussed the heat- member and secretary of the French Most people writing on the history of the ing of the Earth by three distinct sources: Academy of Sciencesr. His reputation is greenhouse effect merely cite in passing (1) solar radiation, which is unequally dis- largely based on his ‘Fourier series’, a Fourier’s descriptive memoir of 1827 as the tributed over the year and which produces widely used mathematical technique in ‘first’ to compare the heating of the Earth’s the diversity of climates; (2) the tempera- which complex functions can be represented atmosphere to the action of glass in a green- ture communicated by interplanetary space by a series of sines and cosines. Among house. There is usually no evidence that irradiated by the light from innumerable physicists and historians of physics, he is they have read Fourier’s original papers or stars; and (3) heat from the interior of the also known for his book Thiorie analytique manuscripts (in French) or have searched Earth remaining from its formation (Figure 1). de la chaleur (1822), an elegant work that beyond the obvious secondary sources. He examined in turn each of these sources Lord Kelvin described as ‘a great math- Many authors, perhaps relying on secondary and the phenomena they produce. ematical poem’. sources, mistakenly cite Fourier’s paper of The article contains an extended discus- Recently, Fourier’s article of 1827, 1827 as his first on the subject of terrestrial sion of the distribution of solar heating over ‘Memoire sur les temperatures du globe temperatures; some claim that it is only the globe caused by the periodic and lati- terrestre et des espaces planemires’, pub- available in French. In fact Fourier pre- tude-dependent nature of the sun’s irradi- lished in the Memoirs of the French sented his paper on terrestrial temperatures ante. This section of the paper, based on Academy, has been mentioned repeatedly as to the Acadtmie Royale des Sciences in results established much earlier by Fourier, being the first reference in the literature to 1824 and published it that same year in the was a classic application of Fourier’s ana- the atmospheric ‘greenhouse effect’. Here I Annales de Chimie et de Physique; it was lytic techniques. Fourier also discussed will review the origins of this practice and reprinted in 1827 and translated into another factor controlling terrestrial tempera- demonstrate that most of these citations are English in the American Journal of Science tures: the internal heat of the globe and its unreliable, misdirected and anachronistic. in 1837 (Ref. 2). Secondary sources typi- secular cooling, but he determined this to be While there are indeed greenhouse anal- cally do not acknowledge references by a trivial amount: no more than three- Fourier to greenhouses in his magnum opus hundredths of a degree during the course of of 1822 or in his earlier papers. Moreover, recorded history. James Rodger Fleming existing accounts assume far too much con- The balance of the article is devoted to an tinuity in scientific understanding of the examination of a third factor: the tempera- Is Professor of Science, Technology and Society at greenhouse effect from Fourier to today. ture of space and its effect on the tempera- Colby College, Maine. He has published exten- sively on the history of meteorology and geo- Even his biographers fail to emphasize the ture of the Earth. Here reside most of physics, including social and military aspects and quest for a universal theory of terrestrial Fourier’s comments on the heating of the climatic change. He serves as a consultant for the temperatures as a key motivating factor in atmosphere. According to Fourier, ‘the American Meteorological Society and is chair of its all of Fourier’s theoretical and experimental influence of the stars, is equivalent to the history committee. His books include Meteorology in America, 1800-1870 (Johns Hopkins University work on heat. presence of an immense hollow sphere, with Press, 1990) Science, Technology, and the the earth in the center, the constant tempera- Environmenf (Akron University Press, 1994), Fourier’s article of 1824 ture of which should be a little below what lntemafional Bibliography of Mefeoro/ogy (Diane In an article published in 1824, Joseph would be observed in polar regionsi. In his Publishing, 1994) Historical Essays on Meteorology (American Meteorological Society, Fourier presented some ‘general remarks’ most memorable analogy, Fourier compared 1996) and Historical Perspectives on Climate on the temperature of the Earth and inter- the heating of the atmosphere to the action Change (Oxford University Press, 1998). He lives in planetary space. Fourier provided no of an instrument called a heliothennometer. China, Maine (not mainland China!) with his wife equations, and he told his readers that ‘the This instrument, designed and used in Miyoko and two sons, Jamitto and Jason. e-mail: jrfleminOcolby.edu analytic details which are omitted here are scientific mountaineering in the 1760s by 72 Endeavour Vol. 23(2) 1999 0160-9327/99/$-see front matter 0 1999 Elsevier Science, All rights reserved. PII: SO160-9327(99)01210-7 heat. He employed basic physical principles and formulated mathematical laws to explain and predict universal phenomena, such as ‘the progressive extinction of heat rays in the atmosphere’9. In his Thkorie analytique de la chaleur (1822), Fourier used these results to intro- duce the elements of a comprehensive mathematical theory of heat: the differential equations describing the movement of heat in solids and fluids, the variations intro- duced by external periodic heat sources, and the transmission of heat by diaphanous sub- stances. While these topics were all contri- butions to basic physical theory and have been read as such by generations of physi- cists and historians of physics, they were also the elements of Fourier’s theory of terrestrial temperatures, with the Earth as the cooling body, the Sun as the periodic heat source, and the atmosphere as the diaphanous intermediatyl0. Figure 1 Heat sources affecting terrestrial temperatures according to Fourier. ‘The earth receives the rays of the sun, which penetrate its mass, and are converted into non-luminous It is clear that Fourier considered himself heat; it likewise possessed an internal heat with which it was created, and which is the Newton of heat: ‘The principle of heat continually dissipated at the surface; and lastly, the earth receives rays of light and heat from penetrates, like gravity, all objects and all of innumerable stars, in the midst of which is placed the solar system. These are the three space, and it is subject to simple and con- general causes which determine the temperature of the earth’. Joseph Fourier, 1824 (Ref. 2). stant laws’. As an example of these laws, he cited the distribution of solar heat over the globe: the daily, yearly and longer periodic Horace Benedict de Saussure, consisted of a Fourier concluded by claiming that he had variations that heat both the surface and the small wooden box lined with a layer of ‘united in this article all the principal el- interior of the Earth, which cause variations black cork. Sunlight entered the box ements of the analysis of terrestrial tempera- beneath the surface and control the grand through a window covered with three panes ture’ and had summarized the results of his movements of the oceans and the atmos- of glass separated by air spaces. This earlier researches, ‘long since given to the phere. For Fourier the analytical theory of arrangement served to magnify the heating public’. While raising the possibility that heat constituted a ‘rational law of atmos- effect of the Sun’s rays (measured by a ther- new properties of radiating heat or causes pheric motion, ocean motion, change of sea- mometer enclosed in the box) while elimi- modifying the temperature of the globe sons, and so on - a grand geophysical law nating the cooling effect of wind currents. might yet be discovered, he was positive confirmed in the laboratory and expressed In 1774, simultaneous heliothermometric that ‘all the principal laws of the motion of by calculus’l’. observations taken at different locations by heat are known’6. In his mind, this essay of Saussure and an assistant demonstrated an 1824 on terrestrial temperatures, although Citation patterns appreciable increase in solar heat with providing no equations, had rendered more In 1836 the physicist C.S.M.
Recommended publications
  • BJ Fourier –
    essays Notes of a protein crystallographer: the legacy of J.-B. J. Fourier – crystallography, time and beyond ISSN 2059-7983 Celerino Abad-Zapatero* Institute of Tuberculosis Research, Center for Biomolecular Sciences, Department of Pharmacological Sciences, University of Illinois at Chicago, Chicago, IL 60607, USA. *Correspondence e-mail: [email protected] Received 14 January 2021 Accepted 18 March 2021 The importance of the Fourier transform as a fundamental tool for crystallo- graphy is well known in the field. However, the complete legacy of Jean-Baptiste Joseph Fourier (1768–1830) as a pioneer Egyptologist and premier mathema- Edited by Z. S. Derewenda, University of tician and physicist of his time, and the implications of his work in other scientific Virginia, USA fields, is less well known. Significantly, his theoretical and experimental work on phenomena related to the transmission of heat founded the mathematical study This article is dedicated to my dear friend from our college days at the University of Valladolid of irreversible phenomena and introduced the flow of time in physico-chemical (Spain), Professor Antonio Castellanos Mata processes and geology, with its implications for biological evolution. Fourier’s (1947–2016). insights are discussed in contrast to the prevalent notion of reversible dynamic time in the early 20th century, which was dominated by Albert Einstein’s (1875– Keywords: J.-B. J. Fourier; heat transmission; 1953) theory of general relativity versus the philosophical notion of dure´e concept of time; Bergson–Einstein debate; proposed by the French philosopher Henri-Louis Bergson (1859–1941). The nonequilibrium thermodynamics. current status of the mathematical description of irreversible processes by Ilya Romanovich Prigogine (1917–2003) is briefly discussed as part of the enduring legacy of the pioneering work of J.-B.
    [Show full text]
  • Simeon Denis Poisson English Version
    SIMÉON DENIS POISSON (June 21, 1781 – April 25, 1840) by HEINZ KLAUS STRICK, Germany In the period before the French Revolution, those in France who did not belong to the nobility had a difficult time in establishing themselves in a professional career. Such a situation was experienced by SIMÉON DENIS POISSON’s father, who, following his service as a soldier in the army, had to be satisfied with a minor administrative position in the provinces. When the Revolution altered the existing power structures, he seized his chance and took over an administrative office in the regional government. (drawings © Andreas Strick) He then set out to take advantage of his new and influential position to secure the professional future of his son. He determined that a suitable career would be that of a surgeon, and so the fifteen-year-old SIMÉON was sent as an apprentice to a relative in Fontainebleau. But it was not long before it became clear that his son possessed neither an interest in medicine nor sufficient manual dexterity. Indeed, SIMÉON had considerable difficulty in physical coordination and could not possibly have been a suitable candidate for the career of a surgeon. As an interim solution, it was decided to send the boy to school. There, SIMÉON impressed his teachers with his eagerness to learn and his rapid progress, particularly in mathematics, so that they advised him to register for the admissions examination at the École Polytechnique, in Paris. And although he had had no systematic education, he passed the examination in 1798 with the year’s top score.
    [Show full text]
  • Fourier, One Man, Several Lives
    Feature Fourier, One one man,Man, Several several Lives lives Bernard MaureyMaurey (Sorbonne (Sorbonne Université, Université, Paris, Paris, France) France) Fourier was born 250 years ago, twenty-one years before the run by monks. After finishing school, at the age of 19, he ap- French Revolution in 1789. The events of those troubled times plied for admittance to the entrance examination to the ar- turned his life into an adventure novel: the Revolution with its tillery, which was curtly refused him. “Not being noble” , it mortal dangers; Bonaparte’s expedition to Egypt with its dis- was impossible for Fourier to become an artillery officer. So coveries; later a political career as prefect of Isère at Greno- he turned to the religious orders and became a novice at the ble, where Fourier wrote the first versions of the Théorie an- Benedictine Fleury Abbey in Saint-Benoît-sur-Loire. He lived alytique de la chaleur, when he was not busy with the con- there for two years, from 1787 to 1789, and could have be- struction of the road from Grenoble to Turin or the drainage come Father Fourier, but the French Revolution broke out and of marshland at Bourgoin; and finally, his academic role at the constituent Assemblée nationale issued decrees suspend- the very heart of the Parisian scientific community during the ing the pronunciation of religious vows just before Fourier years 1820–1830. While relating a variety of aspects which would pronounce his own in November 1789. Early in 1790, are not all of scientific concern, we shall, of course, dedi- he returned to his former school in Auxerre, this time as a cate an important space to the theory of heat, Fourier’s ma- teacher.
    [Show full text]
  • Pierre-Simon Laplace 1749 − 1827 (Beaumont-En-Auge, France)
    Photos Sources: wikipedia.org, history.mcs, and Oberwolfach Photo Collection Pierre-Simon Laplace 1749 − 1827 (Beaumont-en-Auge, France). Astronomy (“Mécanique Céleste”, black holes), probability theory, physics. Augustin Louis Cauchy 1789 − 1857 (Paris, France). École Polytechnique and then École des Ponts et Chaussées. Worked on diff. eq. with application to physics. Father of real and complex analysis. 789 articles. Karl Hermann Amandus Schwarz 1843 − 1921 (Hermsdorf, now Poland). Studied chemistry in Berlin but Kummer and Weierstrass persuaded him to change to mathematics. 1864: PhD at the University of Berlin. Worked in Halle, ETHZ, Göttingen. Main work in complex analysis. Had 20 PhD students. Joseph-Louis Lagrange 1736 − 1813 (Turin, Italy). Learned math. alone. Letter to Euler who was impressed by Lagranges ideas. Main work: calculus of variation, mechanics (vibrating string), astrophysics (3 body problem with Euler), etc. Citation: ”‘If I had been rich, I probably would not have devoted myself to mathematics.”’ Boris Grigorievich Galerkin 1871 − 1945 (Polotsk, Belarus). ”Galerkin was a consultant in the planning and building of many of the Soviet Union’s largest hydrostations“. Johann Peter Gustav Lejeune Dirichlet 1805 − 1859 (Düren, French Empire (now Germany)). Only certificate of end of gymnasium, no Abitur (not good at Latin). Went to Paris to study mathematics. Prof. at the University of Berlin (1828 − 1855, no Habilitation lecture in Latin for 20 y.). Youngest member of the Prussian Academy of Sciences (age 27). Worked in number theory, modern analysis (concept of function), Fourier series. Carl Gottfried Neumann 1832 − 1925 (Königsberg, Germany (now Kaliningrad, Russia)). Studied physics with his father (prof.).
    [Show full text]
  • The Legacy of Henri Victor Regnault in the Arts and Sciences Sébastien Poncet, Laurie Dahlberg
    The legacy of Henri Victor Regnault in the arts and sciences Sébastien Poncet, Laurie Dahlberg To cite this version: Sébastien Poncet, Laurie Dahlberg. The legacy of Henri Victor Regnault in the arts and sciences. International Journal of Arts and Sciences, 2011, 4 (13), pp.377-400. hal-00678894 HAL Id: hal-00678894 https://hal.archives-ouvertes.fr/hal-00678894 Submitted on 14 Mar 2012 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. The Legacy of Henri Victor Regnault in the Arts and Sciences Sébastien Poncet , Laboratoire M2P2, France Laurie Dahlberg , Bard College Annandale, USA Abstract: The 21 st of July 2010 marked the bicentennial of the birth of Henri Victor Regnault, a famous French chemist and physicist and a pioneer of paper photography. During his lifetime, he received many honours and distinctions for his invaluable scientific contributions, especially to experimental thermodynamics. Colleague of the celebrated chemist Louis-Joseph Gay-Lussac (1778-1850) at the École des Mines and mentor of William Thomson (1824-1907) at the École Polytechnique, he is nowadays conspicuously absent from all the textbooks and reviews (Hertz, 2004) dealing with thermodynamics. This paper is thus the opportunity to recall his major contributions to the field of experimental thermodynamics but also to the nascent field, in those days, of organic chemistry.
    [Show full text]
  • La Jeunesse De Joseph Fourier À Auxerre (1768-1794) : Une Nouvelle Approche ?
    La jeunesse de Joseph Fourier à Auxerre (1768-1794) : une nouvelle approche ? Jean-Charles GUILLAUME L'image de Joseph Fourier (1768-1830) pendant les vingt-sept premières années de sa vie est bien connue. Il naît à Auxerre, ville qui « a un aspect moyenâgeux1 », un « air antique et triste […] presque toute bâtie en bois2 », « d’une famille pauvre, mais estimable3 », chez des parents qui « ne savent que très peu lire et écrire4 ». Cet orphelin à huit ou neuf ans est le fils « d’artisans pauvres et vertueux5 », « un vaillant jeune homme, sorti de cette classe ouvrière, laborieuse, si féconde en âmes fortes et d’une trempe vigoureuse [monté], par son seul mérite, aux premiers rangs de la société6 ». Plus tard, « amené sur un autre théâtre », celui de la Révolution, il est de ceux qui croient que « le meilleur moyen d’empêcher ce fleuve bienfaisant de devenir un torrent dévastateur, [c’est] que les hommes éclairés et vraiment patriotes [dirigent] son cours7 ». Son rôle à la Société populaire et au Comité de surveillance lui permet « d’empêcher beaucoup de mal et de faire un peu de bien8 », mais, un peu plus tard, celui à Orléans lui fait risquer la mort : « J’ai éprouvé tous les degrés de la persécution et du malheur. Aucun de mes adversaires n’a connu plus de danger et je suis le seul de mes compatriotes qui ait été condamné à mort. Cependant ils ont l’injustice d’oublier la terreur que j’ai éprouvée pour parler sans cesse de celle que j’ai dit-on inspiré.
    [Show full text]
  • Joseph Fourier
    On the Temperatures of the Terrestrial Sphere and Interplanetary Space Jean-Baptiste Joseph Fourier 1 Translator’s note. This is a translation of Jean-Baptiste Joseph Fourier’s ”M´emoiresur les Temp´eratures du Globe Terrestre et des Espaces Plan´etaires,” which originally appeared in M´emoires d l’Acad´emie Royale des Sciences de l’Institute de France VII 570-604 1827. The original text is most readily acces- sible in the 1890 edition of Fourier’s collected Oeuvres, Volume 2, edited by M. Gaston Darboux (Gauthier-Villars et Fils:Paris). This work is available online from the Biblioth`equeNationale de France (search catalogue.bnf.fr for author ”Fourier, Jean-Baptiste-Joseph”). In the version reprinted in the Oeuvres, it is noted that a very slightly different version of the essay also appeared in the Annales de Chimie et de Physique, vol XXVII, pp 136-167; 1824, under the title ”Remarques g´en´eralessur les temp´eratures du globe terrestre et des espaces plan´etaires.” An English translation of Fourier’s article has not been available in print for more than a century. Although the article is widely cited, it is my experience that its actual contents are not well known in the Anglophone community (and they are hardly better known among Francophones). My object in doing a new translation is to help rectify this situation, while using some of my own knowl- edge of physics of climate to help put Fourier’s arguments in the clearest possible light. I have put a premium on readability rather than literal translation, and in some cases I have taken the liberty of rephrasing some sentences so as to make Fourier’s reasoning more evident; I do not think that in doing so I have read more into the text than Fourier himself put there, but readers seeking the finer nuances of Fourier’s meaning will of course have to read the original.
    [Show full text]
  • Siméon Denis Poisson (1781 – 1840)
    Siméon Denis Poisson (1781 – 1840) From Wikipedia, the free encyclopedia, http://en.wikipedia.org/wiki/Sim%C3%A9on_Denis_Poisson !Siméon Denis Poisson was a French mathematician, geometer, and physicist. He obtained many important results, but within the elite Académie des Sciences he also was the final leading opponent of the wave theory of light and was proven wrong on that matter by Augustin-Jean Fresnel. Poisson was born in Pithiviers, Loiret, the son of soldier Siméon Poisson. In 1798, he entered the École Polytechnique in Paris as first in his year, and immediately began to attract the notice of the professors of the school, who left him free to make his own choices as to what he would study. In 1800, less than two years after his entry, he published two memoirs, one on Étienne Bézout's method of elimination, the other on the number of integrals of a finite difference equation. The latter was examined by Sylvestre-François Lacroix and Adrien-Marie Legendre, who recommended that it should be published in the Recueil des savants étrangers, an unprecedented honour for a youth of eighteen. This success at once procured entry for Poisson into scientific circles. Joseph Louis Lagrange, whose lectures on the theory of functions he attended at the École Polytechnique, recognized his talent early on, and became his friend (the Mathematics Genealogy Project lists Lagrange as his advisor, but this may be an approximation); while Pierre-Simon Laplace, in whose footsteps Poisson followed, regarded him almost as his son. The rest of his career, till his death in Sceaux near Paris, was almost entirely occupied by the composition and publication of his many works and in fulfilling the duties of the numerous educational positions to which he was successively appointed.
    [Show full text]
  • Fourier's Series Transcript
    Fourier's Series Transcript Date: Tuesday, 20 January 2015 - 1:00PM Location: Museum of London 20 January 2015 Fourier’s Series Professor Raymond Flood Slide: Title Thank you for coming to my first lecture of 2015 and a Happy New Year to you all! Today I want to talk about the French mathematician and physicist Jean Baptiste Joseph Fourier and the consequences of his mathematical investigations into the conduction of heat. He derived an equation, not surprisingly now called the heat equation, to describe the conduction of heat but more importantly an approach to solving the heat equation by using an infinite series of trigonometric functions, now called Fourier series. The ideas he introduced had major applications in other physical problems and also led to many of the most important mathematical discoveries of the nineteenth century. Slide: Overview Let me start my overview of the lecture by talking briefly about the situation in mathematics and its use in explaining and predicting the world about us at the end of the eighteenth century. During the eighteenth century many master mathematicians, for example Laplace and Lagrange, had built on Newtonian mechanics to describe and predict the motion of bodies on the earth and in the sky. They had the underlying equations for the motion of bodies, indeed they had them in various formulations and they investigated these equations mathematically. But the behaviour of heat, light, electricity and magnetism had yet to yield their governing equations and this lecture is about applying mathematics to one of these four areas namely heat. It was Joseph Fourier, the distinguished French mathematician, physicist, Egyptologist, demographer and public servant who tackled the conduction of heat and found the fundamental equations its conduction but as I’ve mentioned, just as importantly found new mathematical methods for solving these equations.
    [Show full text]
  • Contribution to Risk Analysis Related to the Transport of Hazardous Materials by Agent-Based Simulation Hassan Kanj
    Contribution to risk analysis related to the transport of hazardous materials by agent-based simulation Hassan Kanj To cite this version: Hassan Kanj. Contribution to risk analysis related to the transport of hazardous materials by agent- based simulation. Automatic. Université Grenoble Alpes, 2016. English. NNT : 2016GREAT060. tel-01447765 HAL Id: tel-01447765 https://tel.archives-ouvertes.fr/tel-01447765 Submitted on 1 Feb 2017 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. THÈSE Pour obtenir le grade de DOCTEUR DE LA COMMUNAUTE UNIVERSITE GRENOBLE ALPES Spécialité : Automatique Productique Arrêté ministériel : 7 août 2006 Présentée par Hassan Kanj Thèse dirigée par Jean-Marie Flaus préparée au sein du Laboratoire G-SCOP dans l'École Doctorale EEATS Contribution to risk analysis related to the transport of hazardous materials by agent-based simulation Thèse soutenue publiquement le 19 septembre 2016, devant le jury composé de : M. Gilles DUSSERRE Directeur de recherche, Ecole des Mines d'Alès (Rapporteur) M. Emmanuel GARBOLINO Maître de conférences, HDR, CRC, MINES ParisTech (Rapporteur) M. Moamar SAYED-MOUCHAWEH Professeur, Ecole de Mines (Examinateur) Mme. Maria DI MASCOLO Directrice de recherche, CNRS (Examinateur) M. Stéphane PAGNON Inspecteur, DREAL Rhône Alpes (Examinateur) M.
    [Show full text]
  • Joseph Fourier
    Pázmány Péter Catholic University Faculty of Information Technology and Bionics Joseph Fourier 22 April 2020 Ebrahim Ismaiel ET11IQ Fourier - Biography • Full Name: Jean-Baptiste-Joseph, Baron Fourier • Born: 21 March 1768 in Auxerre, Burgundy, Kingdom of France (now in Yonne, France). • His Father: Joseph, Baron Fourier (a tailor) • Institutions: École Normale Supérieure Then École Polytechnique. • Fields: Mathematician, physicist, historian • Died: 16 May 1830 (aged 62) Paris, Kingdom of France. 2 Fourier - Achievements “Fourier, One Man, Several Lives”, This title briefly describes Fourier's life and achievements in one of the newsletters of the European mathematical society issues (Issue 113, P: 8-20). • The Analytic Theory of Heat he wrote his first paper namely ‘On the Propagation of Heat in Solid Bodies’ (1807). he wrote another paper on heat flow called ‘Théorie analytique de la chaleur’ meaning ‘The Analytic Theory of Heat’ and it was based on Newton’s Law of Cooling. • Contributions in Algebra Joseph Fourier is Still • Discovery of the greenhouse effect Transforming Science 3 Fourier Series A Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine and cosine functions. For functions that are not periodic, the Fourier series is replaced by the Fourier transform. 4 References • https://en.wikipedia.org/wiki/Joseph_Fourier • https://www.britannica.com/biography/Joseph-Baron-Fourier • https://famous-mathematicians.com/joseph-fourier/ • https://www.encyclopedia.com/people/science-and- technology/mathematics-biographies/baron-jean-baptiste- joseph-fourier • Newsletter of the european mathematical society, European Mathematical Society, issue 113, September 2019. • https://mathworld.wolfram.com/FourierSeries.html • https://www.lindahall.org/joseph-fourier/ • https://news.cnrs.fr/articles/joseph-fourier-is-still- transforming-science 5.
    [Show full text]
  • Jean Baptiste Joseph Fourier
    Jean Baptiste Joseph Fourier Born: 21 March 1768 in Auxerre, Bourgogne, France Died: 16 May 1830 in Paris, France Joseph Fourier's father was a tailor in Auxerre. After the death of his first wife, with whom he had three children, he remarried and Joseph was the ninth of the twelve children of this second marriage. Joseph's mother died went he was nine years old and his father died the following year. His first schooling was at Pallais's school, run by the music master from the cathedral. There Joseph studied Latin and French and showed great promise. He proceeded in 1780 to the École Royale Militaire of Auxerre where at first he showed talents for literature but very soon, by the age of thirteen, mathematics became his real interest. By the age of 14 he had completed a study of the six volumes of Bézout's Cours de mathématiques. In 1783 he received the first prize for his study of Bossut's Mécanique en général. In 1787 Fourier decided to train for the priesthood and entered the Benedictine abbey of St Benoit-sur-Loire. His interest in mathematics continued, however, and he corresponded with C L Bonard, the professor of mathematics at Auxerre. Fourier was unsure if he was making the right decision in training for the priesthood. He submitted a paper on algebra to Montucla in Paris and his letters to Bonard suggest that he really wanted to make a major impact in mathematics. In one letter Fourier wrote Yesterday was my 21st birthday, at that age Newton and Pascal had already acquired many claims to immortality.
    [Show full text]