"FOURIER, (JEAN BAPTISTE JOSEPH).Livre Rare Book
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182251212Paris, Firmin-Didot, 1822. 4to. Contemporary half calf with gilt spine. Old paper label to top of spine. Two old stamps to foot of title-page and old inscription to top of title-page. Half-title browned, otherwise just a bit of mild scattered brownspotting. A mild damp stain to lower blank margin of ab. 20 leaves, far from affecting text. A nice copy. Plates with light brownspotting. (4), XII, 639 pp. + 2 plates.
182251212Paris Firmin-Didot 1822. 4to. Contemporary half calf with gilt spine. Old paper label to top of spine. Two old stamps to foot of title-page and old inscription to top of title-page. Half-title browned otherwise just a bit of mild scattered brownspotting. A mild damp stain to lower blank margin of ab. 20 leaves far from affecting text. A nice copy. Plates with light brownspotting. 4 XII 639 pp. 2 plates. <br/><br/><em>First edition of Fourier's seminal main work an epochal achievement in the history of science being "the first outstanding publication on the conduction of heat" Milestones of Science and the "source of all modern methods in mathematical physics involving the integration of partial differential equations in problems where boundary values are fixed." Cajori. "Fourier demonstrated that problems in mathematical physics can be solved for any complex condition when one knows how to solve the simple periodic initial condition." Milestones of Science. The great achievements that Fourier presents us with in the present work can be seen as twofold treating first the formulation of the physical problem as boundary-value problems in linear partial differential equations which extended rational mechanics to fields outside those Newton had defined in his "Principia" and second "the powerful mathematical toold he invented for the solution of the equations which yielded a long series of descendants and raised problems in mathematical analysis that motivated much of the leading work in that field for the rest of the century and beyond." D.S.B.Dibner: 154.Sparrow: p. 31. Barchas: 740.Norman: 824. </em> unknown
182248285Paris, Bossange père"" Londres, Martin Bossange et Comp., 1822 & 1823. 8vo. [Traité:] Two lovely contemporary, uniform half calf bindings with gilding and blindstamped ornamentations to spines. ""E. C."" in gilt lettering to top of spine on both volumes + [Sommaire:] a bit later red half cloth with marbled paper over boards. Gilt title to spine. [Traité]: signed by the author on verso of half-title in vol. 1: ""Ch Fourier"". Title-page of vol. 1 with a small light brown stain (probably candle-starin), far from affecting lettering. Both volumes in lovely condition, with only very light occassional brownspoting. LXXX, 592 pp."" VIII, 648 pp. [Sommaire:] Title-page slightly browned, evenly. Otherwise very nice, clean, and fresh. 16 pp, pp. (1329) -1448 + 4 ff. (= (A8 (unnumbered) - on two leaves, first recto and second verso blank) + B8, C8, D8, E8).A lovely set.
182248285Paris Bossange père; Londres Martin Bossange et Comp. 1822 & 1823. 8vo. Traité: Two lovely contemporary uniform half calf bindings with gilding and blindstamped ornamentations to spines. "E. C." in gilt lettering to top of spine on both volumes Sommaire: a bit later red half cloth with marbled paper over boards. Gilt title to spine. Traité: signed by the author on verso of half-title in vol. 1: "Ch Fourier". Title-page of vol. 1 with a small light brown stain probably candle-starin far from affecting lettering. Both volumes in lovely condition with only very light occassional brownspoting. LXXX 592 pp.; VIII 648 pp. Sommaire: Title-page slightly browned evenly. Otherwise very nice clean and fresh. 16 pp pp. 1329 -1448 4 ff. = A8 unnumbered - on two leaves first recto and second verso blank B8 C8 D8 E8.A lovely set. <br/><br/><em>Scarce first edition of Fourier's milestone work of political theory which is considered a founding work of Utopian Socialism and a main inspiration for Marx. The work which contains "the essence of Fourier's doctrine" David Owen Evans Social Romanticism in France 1830-1848 p. 129. is here presented together with the exceedingly rare complete supplement which was published the following year.It is in the "Traité." that Fourier presents the revolutionary ideas that Marx were to adopt and use in his "Kapital" namely the theory of poverty and exploitation and its relation to the means of production. These same ideas are those that made Marx speak of Fourier's "Gargantuan view of man".It is due to the "Traité de l'association" that Fourier is considered one of the founding fathers of Utopian Socialism being by far the most utopian of them; in his quest for a more equal society he became one of the very first to defend things such as same-sex sexuality and the rights of women - in fact it is Fourier that later coins the word "Feministe" while stating that the position of women in society was equal to that of slaves. Many of his publications preceded those of de Saint-Simon Owens and Marx but his ideas seemed to find greater influence when interpreted by others. Due to the lack of success of the "Traité" Fourier decided the following year to publish the "Sommaire" in an attempt to draw attention to his revolutionary ideas in the "Traité". The "Sommaire" constitutes a short more easily understood summary though also containing some additional new work. The "Sommaire" is often referred to as "The Appendix" to the "Traité" and is considered as belonging to that work. One of the central themes of the work is the thought of "harmony": "The word harmonisme - here fully explained and described for the first time - was first applied to the highest of the passions or motives of humankind; then as a synonym for Harmonie to the ultimate stage of social evolution. The fortunate inhabitants of the perfected world he called harmoniens a word coined in the present work. These words were duly translated by the Fourierites of other lands. Harmony the Harmonic state Harmonization or integral contrasted association were the terms used in the earliest English translations in 1841 to describe Fourier's proposed social system; and Harmonism was employed in the 1850's. The inhabitants were spoken of as Harmonians; and Fourier's philosophy as a whole was sometimes described as the Harmonian Doctrine. Even the word harmonious was called into service as a technical term one English disciple writing of a Harmonious Phalanx." Bestor The Evolution of the Socialist Vocabulary p. 264.Charles Fourier claimed to find inspiration in the exorbitant price of an apple in a Parisian restaurant and he convinced himself that he could design a more efficient way to produce and deliver goods. Unlike other socialists of his day Fourier believed that the pursuit of self interest served as an effective incentive to productive work. He simply did not believe that the market economy of his day successfully mobilized the pursuit of self interest for the common good and he was offended by the low productivity of labor. He argued that most people were employed in deadening jobs that failed to fully utilize their energies and that nearly two thirds of all workers were performing virtually useless tasks. A more efficient economic organization promised enormous benefits to all if only a benefactor capitalist would advance the money necessary to set up the first community or ''phalanstery''.Phalanxes structures called Phalanstères or "grand hotels" were four level apartment complexes where the richest had the uppermost apartments and the poorest occupied the ground floor residence. Wealth was determined by one's job jobs were assigned based on the interests and desires of the individual. There were incentives: jobs people might not enjoy doing would receive higher pay. Fourier considered trade which he associated with Jews to be the "source of all evil" and advocated that Jews be forced to perform farm work in the phalansteries. Furthermore he believed that there were twelve common passions which resulted in 810 types of character it is not clear why exactly this number so the ideal phalanx would have exactly 1620 people. One day there would be six million of these loosely ruled by a world "omniarch" or a World Congress of Phalanxes.Fourier and his contemporaries such as Owen and Saint-Simon were named utopian socialist because of their visions of imaginary ideal societies. Many saw them as not being grounded in the material conditions of society and as reactionary. Despite Fourier's lacking sense of practicality his ideas profoundly influenced all later socialist political and economic though; Not only was he immortalized by Marx "John Stuart Mill shared the same enthusiasm for Fourier as did the German Marx and Engels and the American George Ripley. Fourier's was "the most skillfully combined and with the greatest foresight of objections of all the forms of Socialism." Feuer The Influence of the American Communist Colonies on Engels and Marx P. 466. Fourier's views inspired in the mid 19. century the founding of the communities in Utopia Ohio La Reunion near present-day Dallas Texas and several other communities within the United States of America including the North American Phalanx in Red Bank New Jersey; Brook Farm in West Roxbury Massachusetts and the Community Place and Sodus Bay Phalanx in New York State.In the mid 20th Century Fourier's influence began to rise again among writers appraising socialist ideas outside the Marxist doctrines. After the Surrealists had broken with the French Communist Party André Breton turned to Fourier writing Ode à Charles Fourier in 1947."Traité de l'association domestique-agricole ":Kress C864 Goldsmiths 23694 Einaudi 1960 including both works. "Sommaire du traité":Kress C1060Goldsmiths 23997. </em> hardcover
18085302Paris: Bernard 1808. First edition. <p>First printing extremely rare of the discovery of Fourier series and their application to the mathematical theory of heat appearing here 14 years before Fourier's famous Théorie analytique de la chaleur. "This work marks an epoch in the history of both pure and applied mathematics. It is the source of all modern methods in mathematical physics . The gem of Fourier's great book is 'Fourier series'" Cajori A History of Mathematics.</p>. EVANS 37 - THE TRUE FIRST PUBLICATION OF FOURIER SERIES. <p>First printing extremely rare of the discovery of Fourier series and their application to the mathematical theory of heat appearing here 14 years before Fourier's famous Théorie analytique de la chaleur. "This work marks an epoch in the history of both pure and applied mathematics. It is the source of all modern methods in mathematical physics . The gem of Fourier's great book is 'Fourier series'" Cajori A History of Mathematics p. 270. "The methods that Fourier used to deal with heat problems were those of a true pioneer because he had to work with concepts that were not yet properly formulated. He worked with discontinuous functions when others dealt with continuous ones used integral as an area when integral as an anti-derivative was popular and talked about the convergence of a series of functions before there was a definition of convergence . such methods were to prove fruitful in other disciplines such as electromagnetism acoustics and hydrodynamics. It was the success of Fourier's work in applications that made necessary a redefinition of the concept of function the introduction of a definition of convergence a reexamination of the concept of integral and the ideas of uniform continuity and uniform convergence. It also provided motivation for the discovery of the theory of sets was in the background of ideas leading to measure theory and contained the germ of the theory of distributions" González-Velasco p. 428. In December 1807 Fourier submitted a large manuscript entitled Sur la propagation de la chaleur to the Institut de France in Paris "but although Laplace Lacroix and Monge were in favour of publishing it Lagrange blocked publication apparently because its treatment of trigonometric series differed markedly from the way he Lagrange had stipulated in the 1750s. Another chance came in 1810 when the Academy of Sciences announced a prize competition on heat diffusion. Fourier submitted a revised memoir which won in 1811 but was criticised for a lack of rigour and generality. Fourier thought the criticism unfair but revised it again and the resulting book came out in 1822 after Lagrange's death and when Fourier's standing was rising in the Academy" Gray p. 14. The present article is an extract of the 1807 memoir the only part of it to be published until 1972. The prize memoir of 1811 appeared in two parts in the Mémoires de l'Académie Royale des Sciences de l'Institut de France tomes 4 & 5 published in 1824 & 1826. "Previous historical interpretation of Fourier's work has often depended on the Théorie analytique for the sequence of his researches. The 1807 memoir however is one of the great papers in the history of science which led to fundamental advances in the study of heat flow mathematical analysis and an almost unlimited number of applications in science and engineering" Gillmor p. 501. "The 1807 paper is Fourier's masterpiece: the problems and the consequences of their solutions in it dominated his scientific effort while the circumstances of the preparation and publication of its successors encompassed most of his career" Grattan-Guinness 1972 p. ix. ABPC/RBH lists the sale of only one copy the March 1808 issue extracted from the yearly volume in a modern binding. OCLC locates no copy in the US.</p> <br /> <p>Born in Auxerre France Fourier 1768-1830 was in 1795 appointed an assistant lecturer at the École Polytechnique working under Lagrange and Monge. In 1798 Monge a prominent supporter of Napoleon selected Fourier to go on the French expedition to Egypt. After the British defeated them there Fourier returned to France in 1801 hoping to resume his work at the École Polytechnique but Napoleon had been impressed by his organisational talents and sent him instead to be the prefect of the Department of Isère. Despite these administrative duties Fourier managed to pursue scientific research in his spare time and on 21 December 1807 he sent a paper to the mathematical and physical section of the Institut de France in Paris presenting some of his discoveries. The paper was a large one: 234 pages of text with many complicated equations several diagrams of strange mathematical functions and in the last part a few tables of experimental results.</p> <br /> <p>"The secrétaire perpétuel of the mathematical and physical section Delambre sent it to the Institut's foremost mathematical minds-Lagrange Laplace Monge and Lacroix-for examination. The topic was novel and ambitious for it purported to take the mathematical analysis of physical phenomena outside the terms of reference of Newton's law of universal gravitation; the theoretical investigation of the propagation of heat. Little had been achieved on this problem although it was known that Biot and Poisson two of Paris's rising young scientists were interested in it. Now Fourier a man in his fortieth year who had published only one paper in his life-a study of the Principle of Virtual Work ten years previously-was submitting his own ideas on the subject" Grattan-Guinness 1969 p. 250.</p> <br /> <p>"Fourier began by exploring the known properties and parameters for the study of heat diffusion. There were three main ones of the latter: conduction internally within a solid body and externally through its surface or boundary into the environment; and specific heat. Assuming them to be constant he used them to define quantity of heat at a point or section of the body. He took the flow of heat to be uniform and temperature change linear with respect to distance. He drew upon Newton's law of cooling that the flow of heat through a domain was proportional to the temperature difference across it . To mathematize the phenomenon Fourier used the standard differential and integral calculus in the version developed by Euler" Landmark Writings p. 356.</p> <br /> <p>Fourier's 1807 paper followed the chronology of his discoveries. He began with an analysis of heat diffusion between disjoint bodies. He then attempted to model heat diffusion on a line or a circle by replacing them with a finite number of bodies arranged along a line or circle and then letting the number of bodies tend to infinity. For various reasons this approach was unsuccessful so he started afresh on continuous bodies. Fourier was led to the 'heat diffusion equation': in the simplest case of heat flow through a body in one dimension the temperature T at a distance x along a line at time t satisfies the differential equation</p> <br /> <p>d2T/dx2 = KdT/dt</p> <br /> <p>where K is a constant which depends on the physical parameters of the body. For heat flow in bodies of more than one dimension there was a corresponding partial differential equation. The 1807 paper concluded with a section on Fourier's experimental findings.</p> <br /> <p>To solve the heat diffusion equation Fourier used 'separation of variables': he assumed a solution of the form Txt = UxVt which led to ordinary differential equations for U and V; the solutions for U were trigonometric functions. Since the heat diffusion equation is linear superposition of such solutions will also be a solution. Fourier thus arrived at solutions of the form</p> <br /> <p>Txt = Σ ar cos rx br sin rx exp-r2Kt</p> <br /> <p>where the infinite sum is over r = 0 1 2 3 . and the coefficients ar br are determined by the 'boundary conditions' e.g. the given values of T at certain values of x and t.</p> <br /> <p>"There had been a long 18th-century debate about trigonometric series in connection with solutions to the wave equation and the shape of a vibrating string. On the one hand it seemed reasonable that a string could have any continuous initial shape - that was Euler's view - on the other hand the equation could only be solved by functions to which the calculus applied . Fourier proposed to reopen the debate by boldly asserting that any solution to the heat equation which he was the first to derive could be written as an infinite sum of sines and cosines for the simple reason that any function could be written that way. This is a dramatic claim and it was still more so in his day because the consensus was that however broadly a function might be defined all the functions that arise in practice are finite sums of familiar ones: polynomials sines cosines exponentials and logarithms nth roots and the like. They could also be infinite power series and indeed infinite trigonometric series but nonetheless they had the usual sorts of properties such as smoothly varying graphs. No-one said so in so many words but it is clear that the expectation was there and Fourier in particular simply assumed that every function is continuous as is clear from his account of the coefficients of a Fourier series . One of the dramas introduced by Fourier's series was that they readily flout all these expectations . at various stages in the 19th century they provided fresh and disturbing examples of just what functions could do. Contrary to what Fourier himself believed if Cauchy's work began the exploration of what rigorous mathematics can do Fourier series can indicate just what theory is up against" Gray pp. 13-14.</p> <br /> <p>To give some indication of Fourier's originality and technical expertise one problem he considered led to the equation</p> <br /> <p>1 = a1 cos x a3 cos 3x a5 cos 5x .</p> <br /> <p>from which the coefficients a1 a3 a5 . had to be determined. Fourier solved these equations by repeated differentiation followed by putting y = 0. This led to an infinite set of linear equations for a1 a3 a5 . He took the first n of these equations truncated them by omitting all but the first n coefficients solved the resulting finite set of equations and finally let n tend to infinity. Using John Wallis's expression for π as an infinite product this gave</p> <br /> <p>a1 = 4/π a3 = - 1/3. 4/π a5 = 1/5. 4/π .</p> <br /> <p>and hence</p> <br /> <p>π/4 = cos x - 1/3 cos 3x 1/5 cos 5x - .</p> <br /> <p>This formula illustrates an important point which Fourier was the first to understand: the representation of a function by its Fourier series is valid only in a restricted range. For example the preceding series is valid only when x lies between -π/2 and π/2: in fact if x is between π/2 and 3π/2 the sum of the series is -π/4! One of Lagrange's criticisms was that Fourier series being periodic functions are not sufficiently general to represent a 'general' function. Fourier realized that "periodicity is no handicap to generality when the range of values required of the variable equals that period; what happens outside that range is irrelevant to the physical problem and therefore to the mathematics used to describe it. All this is common wisdom today but it is the wisdom that Fourier created; Euler and Lagrange wrote under and indeed did much to create an algebraic approach to the theory of functions and one of its most profound features was that if the algebraic expression fx took real values over a particular range of values of x then it must be used or at least thought of over the whole of that range. Therefore a 'general' function would have a 'general' range as well as a 'general' shape and so the restricted range of trigonometric series would in itself exclude their candidature for generality . It is this profound mistake over the kind of generality demanded of a solution of the wave equation which was as responsible as any other cause for the subsidence into failure of the 18th-century discussion of the vibrating string problem . The vibrating string analysis was Fourier's great predecessor in the field of linear partial differential equations and Fourier enriched it by solving the generality problem and introducing into the theory of functions the specification of a range of values to a function independent of its shape or equation" Grattan-Guinness 1969 pp. 241-242. </p> <br /> <p>Remarkable as the 1807 memoir was for its originality in the introduction and application of Fourier series it actually went beyond standard Fourier series in its discussion of heat flow in bodies with curved boundaries. The study of heat flow in a sphere led to non-periodic series such as</p> <br /> <p>a1 sin n1x a2 sin n2x a3 sin n3x .</p> <br /> <p>where n1 n2 n3 . instead of being integers or integer multiples of a fixed quantity are roots of the equation</p> <br /> <p>nX / tan nX = constant</p> <br /> <p>where X is a constant. When Fourier considered heat flow in a cylinder trigonometric series did not work: they had to be replaced by what are now known as 'Bessel functions' and Fourier developed many of their basic properties more than a decade before Friedrich Wilhelm Bessel introduced them in his astronomical work.</p> <br /> <p>"Not surprisingly the examiners of Fourier's 1807 memoir found several points of concern. The equations to represent the propagation of heat in the first place were far from well-established and so the versions given here needed careful scrutiny. Then there were the methods used to solve them. The equations themselves were all 2nd-order linear partial differential equations and the basic routine of separating the variables if unusual was not new; but after that there were the most surprising developments . the main bone of contention was Lagrange's doubt over the use of all those trigonometric series in forming general solutions to the partial differential equations. Further explanations were called for and during 1808 and 1809 a detailed discussion of the convergence and mode of representation of the series</p> <br /> <p>½x = sin x - ½ sin 2x ⅓ sin 3x - .</p> <br /> <p>was sent in and also a general paper on convergence and other difficulties. Finally after some coercion the examiners proposed a prize problem on 2 January 1810: 'Give the mathematical theory of heat and compare the result of this theory with exact experiments.' The entries had to be in by 1 October 1811. Fourier revised the old paper reordering some of its material and suppressing many of its diagrams but preserving all the main results and adding some new sections; and he managed to get the paper to Paris just in time. Haüy and Malus replaced Monge on the examiners' panel but the most important judges were still Laplace and Lagrange. Laplace seems to have been quite pleased-he had already made one encouraging reference to the original paper in 1809-but Lagrange was still hostile . So Fourier had won the prize-but with criticism which he always resented" Grattan-Guinness 1969 pp. 231-232.</p> <br /> <p>From a modern point of view some of Lagrange's criticisms were justified particularly those relating to the question of convergence of Fourier series and of whether 'any' function could be expanded in a Fourier series. These questions would only be answered decades later especially by Lejeune Dirichlet. "Fourier was not a naive formalist: he could handle problems of convergence quite competently as in his discussion of the series for the saw-tooth function. The leading technical ideas of several basic proofs such as that of Dirichlet on the convergence of the Fourier series can be found in his work. Moreover he saw long before anyone else that term-by-term integration of a given trigonometric series to evaluate the coefficients is no guarantee of its correctness; the completeness of a series is not to be assumed. The great shock caused by his trigonometric expansions was due to his demonstration of a paradoxical property of equality over a finite interval between algebraic expressions of totally different form. Corresponding to any function in a very wide class there could be constructed a trigonometric series whose values on an assigned interval are the same as those of the function. As he showed by example the given function could even be a mixture of different algebraic expressions each defined on disjoint subintervals of the basic one. Both trigonometric expansions and arbitrary functions had been used by others including Poisson; but the former were restricted to problems involving periodic phenomena and the latter when they appeared in the solutions of partial differential equations were assumed by their nature to be incapable of an algebraic expression" DSB.</p> <br /> <p>With no prospect of publication of his 1811 prize memoir Fourier began a third version of the work this time in the form of a book which he would publish separately. This was near completion by 1814 when the biggest upset of his life occurred-the fall of Napoleon. Following this he went to Paris to try to follow the intellectual life he had always wanted and to get his prize paper and book printed. The printing of the book was almost complete by 1816 when an abstract was published in the Annales de Chimie et de Physique Series 2 Vol. 3. With the restoration of the monarchy the old Académie des Sciences was reinstituted and Fourier gained election to it at the second attempt in 1817. The Théorie analytique was finally published in 1822 and the prize paper in 1824-26 following which Fourier was elected secrétaire perpétuel of the Académie to succeed Delambre and in 1827 to the Académie Française. He died in 1830 as the result of complications from an illness contracted in Egypt.</p> <br /> <p>"But what had happened to the original paper of 1807 During Fourier's own lifetime it seems to have been kept in the archives of the Académie des Sciences; but sometime after his death it vanished and remained missing until 1890. Then Darboux prepared an incomplete edition of Fourier's works and announced its discovery in the library of the École Nationale des Ponts et Chaussees in Paris. He gave the impression of subtle detection on his part but in fact he might well have noticed its clear listing in the Catalogue of Manuscripts of the library which had recently been published. So exactly sixty years after its author's death it had been found again" Grattan-Guinness 1969 pp. 231-233. It was finally published by Grattan-Guinness in 1972.</p> <br /> <p>The Bulletin des Sciences par la Société Philomathique first appeared in July 1791 with tome I covering the period up to 1798 tome II 1799-1800 and tome III 1801-4. Publication was then interrupted until October 1807 when it resumed under the title Nouveau Bulletin des Sciences par la Société Philomathique with three volumes covering the period up to 1813. A third series then began under the title Bulletin des Sciences publication of which continued until 1826. </p> <br /> <p>Dibner 154; En Français dans le Texte 232; Evans 37; Roberts & Trent Bibliotheca Mechanica p. 118; Sparrow 68; Landmark Writings in Western Mathematics Grattan-Guinness ed. 26; Norman 824 all for the 1822 Théorie analytique. Gillmor Review of Grattan-Guinness 1972 Technology and Culture 14 1973 pp. 501-503. González-Velasco 'Connections in mathematical analysis: the case of Fourier series' American Mathematical Monthly 99 1992 427-41. Grattan-Guinness 'Joseph Fourier and the revolution in mathematical physics' Journal of the Institute of Mathematics and its Applications 5 1969 pp. 230-253. Grattan-Guinness Joseph Fourier 1768-1830. A survey of his life and work based on a critical edition of his monograph on the propagation of heat presented to the Institut de France in 1807 1972. Gray The real and the complex: A history of analysis in the 19th century 2015. For the history of the Société Philomathique and its Bulletin see: Bertholet 'Sur les publications de la Société philomathique et ses origins' Journal des savants 1888 pp. 477-493.</p> <br/> <br/> Large 4to 280 x 212 mm comprising the Nouveau Bulletin of Oct-Dec 1807 nos. 1-3 Oct-Dec 1808 nos. 4-15 Jan-Dec and 1809 nos. 16-24 Jan-Sep. Original interim boards a little rubbed. A very fine copy in original state. Bernard unknown
1808AMO-4498A Leipzig [i.e. Lyon], 1808 1 volume in-8 (20 x 12,5 cm) de (4)-425-(3) pages et un grand tableau dépliant (replié relié entre les pages 56 et 57). Reliure strictement de l'époque demi-basane fauve, dos lisse orné de plattes dorées en guise de faux-nerfs, fleurons dorés, pièce de titre de maroquin rouge, plats de papier marron. Quelques usures (coins, plats, coupes, légères fentes en tête des mors, légères marques et éraflures au dos, le tout sans gravité), intérieur frais. Quelques rousseurs peu pregnantes aux premiers et aux derniers feuillets. Quelques annotations manuscrites, corrections et rajouts, notamment sur le grand tableau dépliant. Collationné complet. Edition originale rare du premier livre de Fourier.
180892131808 A Leipzig [Lyon], s. n. e. [Pelzin], [7 avril] 1808. Un volume in-8° (132 x 205 mm) de [4]+425+[3] pages, très grand tableau dépliant en page 56. Reliure de lépoque en demi-basane marron à coins, dos lisse orné de filets, pièce de titre rouge, tranches jaunes.
181644516Paris, Crochard, 1816-25. Bound in 2 fine recent hmorocco. In: ""Annales de Chimie et de Physique, Redigées par MM. Gay-Lussac et Arago"", Tome I, IV, IX, X, XI, XV, XVII, XX, XXI, XXIII, XXVIII and XXIX. Some memoirs with scattered brownspots. All but volume 15 with the orig. titlepages to the volumes. Vol. XV having instead of the titlepage, a sample of the orig. printed wrappers, December issue 1820. Bound at end of volume 2. The memoir, no. 25a below is inserted at the end of volume 2. Some of the memoirs having textillustrations. Some versos of titlepages with stamps.
181644516Paris Crochard 1816-25. Bound in 2 fine recent hmorocco. In: "Annales de Chimie et de Physique Redigées par MM. Gay-Lussac et Arago" Tome I IV IX X XI XV XVII XX XXI XXIII XXVIII and XXIX. Some memoirs with scattered brownspots. All but volume 15 with the orig. titlepages to the volumes. Vol. XV having instead of the titlepage a sample of the orig. printed wrappers December issue 1820. Bound at end of volume 2. The memoir no. 25a below is inserted at the end of volume 2. Some of the memoirs having textillustrations. Some versos of titlepages with stamps. <br/><br/><em>First appearances of this groundbreaking series of papers and memoirs in which Fresnel established the scientific basis for the wave theory of light and gave the theoretical framework for explaining in the context of his theory of the transversal nature of lightwaves the phenomena of double refraction refraction dispersion polarization interference diffraction patterns diffraction fringes as light spreads around objects etc. He developed mathematically the hypothesis of the wave nature of light and he demonstrates its conformity with experience. His study of light was a dynamic interplay between theory and observation between mathematics and experiment. - The offered series also comprises the contributions from Arago and the rapports from The French Academy's committees by Ampère Biot and Fourier - see below nos. 6111415a.nd 18."From the point of view of method his investigations extended from the manual operations of the laboratory to the most abstract mathematical analyses. Few physicists since Newton had been so versatile."Silliman in "Historical Studies in the Physical Sciences" vol. 4 p. 155."The wave-thory at this time was still encumbered with difficulties. Diffraction was not satisfactorily explained; for polarization no explanation of any kind was forthcoming; the Huygenian construction appeared to require two different luminiferous media within double refracting bodies; and the universality of that construction had been impugned by Brewster's discovery of biaxial crystals. The upholders of the emission theory emboldened by the success of Laplace's theory of double refraction thought the time ripe for their final triunph; and as a step to this in March 1817 they proposed Diffration as the subject of the Academy's prize for 1818. Their expectation was disappointed; and the successful memoir afforded the first of a series of reverses of which in the short space of seven years the corpuscular theory was completely owerthrown. The author was Augustin Fresnel."Whittaker "A History of the Theories of Aether & Electricity" vol. 1 p.107 ff."This concept of transverse waves met with the greatest hostility from the scientists of the day who could not imagine an extremely fluid and rarified ether which at the same time possessed the mechanical properties of a rigid body. Even Arago admitted that he could not follow the exuberant engineer in his ideas. ButFresnel was convinced that at last he had the key to many mysteries and with his model of waves he gave a full clarification of the phenomena of polarization. With insuperable precision he explained a long series of extremely complicated experiments such as those of chromatic polarization that Arago himself had discovered by chance in 1811 and which the followers of Newton could not explain in spite of all their efforts. Following this line Fresnel reached the synthesis which is his masterpiece.we must recall the final interpretation that he gave of the famous phenomenon of partial reflection by transparent surfaces that simple phenomenon which until then had puzzled Grimaldi Newton and Huygens and which in Malus's experiments had unexpectedly acquired a special importencee as it had been compared to the great mystery of double refraction."Ronchi "The Nature of Light" p. 255 ff.Comprising:1. Mémoire sur la Diffraction de la lumière où l'on examine particululièrement le phénomène des franges colorées que présentent les ombres des corps éclairés par un point lumineux. "Ann.Chim.P." Tome 1. 1816. With titlepage to vol. 1. Pp. 239-281 and 1 folded engraved plate.2. Extrait d'une Lettre de M. Fresnel à M. Arago sur l'influence de la chaleur dans les couleurs développées par la polarisation.Tome 4. 1817. With titlepage to vol. 4. Pp. 298-300.3. Lettre de M. Fresnel à M. Arago sur l'influence du mouvement terrestres dans quelques phénomènes terrestres dans quelques phénoménes d'optique. Tome 9. 1818. With titlepage to vol. 18. Pp. 57-70.4. Note additionelle à la Lettre de M. Fresnel à M. Arago insérée dans le dernier Cahier des Annales. Tome 9. 1818. Pp. 286-287.5. FRESNEL & ARAGO. Sur l'Action que le rayons de lumiére polarisés exercent les uns sur les autres. Tome 10. 1819. With titlepage to vol. 10. Pp. 288-305. - Also with "Extrait d'un ouvrage du P. Grimaldi intitulé: Traité physico-mathérmatique de la lumiere des couleurs et de l'iris". Pp. 306-312.6. ARAGO. Rapport par M. Arago à l'Academie des Sciences au nom de la Commission qui avait été chargée d'examiner les Mémoires envoyés au concours pour le prix de la diffraction. Tome 11. 1819. With titlepage to vol. 11. Pp. 5-30.7. Mémoire sur la Diffraction de la Lumiere. Extrait. This importent Price-Memoir was only printed in full in 1826. Tome 11. 1819. Pp. 246-296.8. Suite Du Mémoire sur la Diffraction de la Lumière. Tome 11. 1819. Pp. 337-378. Note sur des Essais ayant pour but de décomposer l'eau avec un aimant. Pp. 219-222.9. Note sur des Essais ayant pour but de décomposer l'eau avec un aimant. Tome 15. 1820. Pp. 219-222. No titlepage to vol. 15.10. Résume d'un Mémoire sur la Reflexion de la lumière. Tome 15. 1820. Pp. 379-386. Tome 15 is here represented with the last issue of the year Decembre 1820 pp. 337-448 and instead of the titlepage having the orig. printed wrappers bound at end of the second volume.11. ARAGO & AMPÈRE. Rapport fait à l'Academie des Sciences le lundi 4 juin 1821 sur un Mémoire de M. Fresnel relatif aux couleurs des lames cristallisées douées de la double réfraction. Tome 17. 1821. Titlepage to vol. 17. Pp. 80-102.12. Note sur le Calcul des teintes que la polarisation développe dans les lames cristallisées. Tome 17. 1821. Pp. 102-111.13. IIe Note sur la Coloration des lames cristallisées. Tome 17. 1821. Pp. 167-196.14. BIOT. Remarques de M. Biot sur un Rapport lu le 4 juin 1821 à l'Academie des Sciences par MM. Arago et Ampere. Tome 17. 1821. Pp. 225-258.15. ARAGO. Examen des Remarques de M. Biot. Tome 17. 1821. Pp. 258-273. 16. Addition à la IIe Note insérée dans le Cahier précédent par M. Fresnel. Tome 17. 1821. Pp. 312-315.17. Note sur les remarques de M. Biot publiées dans le Cahier précédent. Tome 17. 1821. Pp. 393-403.18. FOURIER AMPÈRE ET ARAGO. Rapport fait à l'Academie sur un Mémoire de M. Fresnel relatif à la double réfraction. Commission: Fourier Ampère et Arago. Tome 20 1822. With titlepage to vol. 20. Pp. 337-344.19. Note sur la double réfraction du verre comprimé. Tome 20. 1822. Pp. 376-383.20. Explication de la Réfraction dans le système des ondes. Tome 21 1822. Titlepage to vol. 21. Pp. 225-241. LAGRANGE. Sur la Théorie de la lumière d'Huygens. Pp. 241-246.21. Sur l'Ascension des nuages dans l'atmosphère. Tome 21 1822. Pp. 260-263.22. Réponse de M. Fresnel à la Lettre de M. Poisson insérée dans le tome XXII des Annales p. 270. Tome 23 1823. Titlepage to vol. 23. Pp. 32-49.23. Note sur le Phénomène des anneaux colorés. Tome 23 1823. Pp. 129-134.24. Suite de la Réponse de M.A. Fresnel à la Lettre de M. Poisson. Tome 23 1823. Pp. 113-122.25. Extrait d'un Mémoire sur la double Réfraction particulière que présente le cristal de roche dans la irection de son axe. Tome 28 1825. Titlepage to vol. 28. Pp. 147-161. 25 a Extrait d'un Mémoire sur la double Réfraction. Tome 28 1825. Pp. 263-279. According to Buchwald "The Rise of the Wave Theory opf Light" p. 462 these 2 extracts composes the entire memoire.26. Note sur la Répulsion que des corps échauffés exercent les uns sur les autres à des distances sensibles. Lue à l'Institut le 13 juin 1825. Tome 29 1825. Titlepage to vol. 29. Pp. 57-62.27. Extrait d'un Mémoire sur la Loi des modifications imprimées à la lumière polarisée par sa réflexion totale dans l'intérieur des corps transparens. Tome 29 1825. Pp. 175-187. This paper was never printed in full. </em> unknown
230767Paris, Bossange Père, P. Mongie aîné, Londres, Martin Bossange, 1822 2 vol. in-8, LXXX-592 et VIII-648 pp., demi-basane bleu nuit, dos lisse, filets dorés (reliure de l'époque).
18365782Paris, aux bureaux de la Phalange, 1836-1840. 3 tomes de 36, 45 et 16 livraisons reliées en 1 vol. in-4, demi-basane fauve, dos lisse orné de fers romantiques (reliure de l'époque).
179764854Paris, Journal de l'Ecole Polytechnique et Mémoires de l'Académie des sciences, 1797-1833, , , demi-chagrin havane, dos à faux nerfs, tête dorée [H. Durand], Cinq extraits, dont quatre concernent la théorie de Joseph Fourier sur la chaleur. Le traité qui ouvre le recueil traite de la statique. Fourier exposa sa célèbre Théorie de la chaleur, définissant les lois mathématiques auxquelles obéit cet élément, pour la première fois devant l'Institut en 1807, puis en 1811. "Cette théorie formera désormais l'une des branches les plus importantes de la physique générale" (En français dans le texte). La Théorie du mouvement de la chaleur ici présentée dans des tirés à part en édition originale (2e et 3e pièces du recueil), forme la première mouture de la Théorie analytique qui fut publiée en 1822. C'est la "copie littérale de la pièce déposée aux archives de l'Institut le 28 septembre 1811... Elle contient tous les principes fondamentaux d'une nouvelle branche de la physique-mathématique : il était nécessaire d'exposer ces principes avant de publier les recherches entreprises depuis par l'auteur sur le même sujet". Elle est accompagnée du titre étonnant sur la chaleur du globe terrestre et "des espaces planétaires". Les pièces sont reliées dans l'ordre suivant : 1. "Mémoire sur la statique, contenant la démonstration du principe des vitesses virtuelles, et la théorie des momens". Extrait du Journal de l'école polytechnique, Ve cahier, 1797. Pages 20 à 60. Important mémoire qui serait tiré, selon Arago, de l'une des leçons de Fourier à l'École polytechnique. 2 et 3. "Théorie du mouvement de la chaleur dans les corps solides". Extrait des Mémoires de l'Académie des sciences, tome IV, année 1819 (impression en 1824). Pages 185 à 556. [Et la] "Suite du mémoire intitulé Théorie du mouvement de la chaleur dans les corps solides". Extrait des Mémoires de l'Académie royale des sciences, tome V, années 1821-1822 (impression en 1826). Pages 153 à 246. Premières éditions. Sans la planche dépliante qui accompagne le premier mémoire. 4. "Mémoire sur la température du globe terrestre et des espaces planétaires". Extrait des Mémoires de l'Académie des sciences, vol. 7, 1827. Pages 569 à 622. Reparution de ce mémoire qui avait été publié en 1824 dans les Annales de Chimie et de Physique (vol. 27, 1824). Fourier applique ici sa théorie de la chaleur à la température du globe terrestre et "des espaces planétaires", en distinguant trois causes de cette température : les rayons du Soleil, la température de l'espace , la chaleur interne datant de la formation de la Terre. 5. "Mémoire d'analyse sur le mouvement de la chaleur dans les fluides". Extrait des Mémoires de l'Académie des sciences, tome XII, 1833. Pages 507 à 530. Première édition ; mémoire lu le 4 septembre 1820 et jamais imprimé auparavant. Joseph Fourier (1768-1830) fut successivement titulaire de la chaire d'analyse mathématique à l'École polytechnique tout juste fondée, secrétaire perpétuel de l'Académie créée par Bonaparte au Caire, préfet de l'Isère, membre de l'Académie des sciences, puis de l'Académie française. Ses recherches scientifiques se sont avant tout portées sur les mathématiques. Étiquette ex-libris d'Henri Viellard et cachets de l'Institut catholique de Paris annulé. Étiquette en pied du dos. Légers frottements au dos. Rousseurs éparses, quelques feuillets brunis. DSB V, p. 94 et suiv. Couverture rigide
18081512110020A Leipzig Lyon: Peizin 1808-01-01. First Edition. Hardcover. Very Good. First edition of Fourier's first work. Condition: iv 425 3 folding table. Bound in modern quarter leather. Original marbled boards. Gilt spine. Marbled page ends. Shelf wear to boards. <br> Signature of Frederick York Powell 1898. Powell was a noted English historian and scholar. Additional signature of L. Kennedy 1905. Fourier written in blue ink on title page. Pencil notes to end blanks in Kennedy's handwriting. <br>Refs: En Francais dans le texte 218; Arthur Bestor Backwoods Utopias p. 13; Barbier IV 704; Del Bo Fourier p. 5; Gimon 82; Goldsmiths'-Kress 19750; Weller II 264; OCLC: Stanford Cornell St. Gallen and Edinburgh; see R. Schaer G. Claeys and L.T.Sargent Utopia The Search for the Ideal Society in the Western World 2000 pp. 208 ff. Fourier was a radical thinker who created a plan for an ideal society. He respected the industry and intelligence of children acknowledged the validity of same sex relationships and androgyny and coined the term feminism. <br> Theorie des quatres mouvements Theory of four movements first edited in 1808 and reworked up to its final draft of 1841 is the first fundamental work in which Fourier declares his objectives for a world government and economy administered by Passionate Attraction "a theory of universal Harmony that springs from the ruins of uncertain sciences" the only possibility in his terms of transforming society "remediating everything from the most scandalous social disorders to poverty". Going against morals and ideologies that preach poverty and mediocrity Fourier defends opulence luxury gluttony and sensuality for all. He argued that a natural social order exists corresponding to Newton's ordering of the physical universe and that both evolved in eight ascending periods. In harmony the highest stage man's emotions would be freely expressed. That stage could be created he contended by dividing society into phalanges. <br> The phalange in Fourier's conception was to be a cooperative agricultural community bearing responsibility for the social welfare of the individual characterized by continual shifting of roles among its members. He felt that phalanges would distribute wealth more equitably than under capitalism and that they could be introduced into any political system including a monarchy. The individual member of a phalange was to be rewarded on the basis of the total productivity of the phalange. <br><br> A Leipzig [Lyon: Peizin] hardcover
6980A Leipzig, 1808. 18,5 x 13 cm, [4, 42 et [3] pp. avec un très grand tableau dépliant en page 56. Relié plein papier d'époque, dos lisse, pièce de titre. Reliure légèrement usée, mors et coins frottés, annotation sur la première page de garde, sinon bel exemplaire de la rare édition originale du premier et du fondamental ouvrage de Charles Fourier.
6980A Leipzig, 1808. 18,5 x 13 cm, [4, 42 et [3] pp. avec un très grand tableau dépliant en page 56. Relié plein papier d'époque, dos lisse, pièce de titre. Reliure légèrement usée, mors et coins frottés, annotation sur la première page de garde, sinon bel exemplaire de la rare édition originale du premier et du fondamental ouvrage de Charles Fourier.
13459Paris - Leipzig Librairie Victor Masson 1858 grand in 8 (27,5x19,5) 1 volume reliure demi maroquin vert d'eau, dos à nerfs orné, caissons (double filet doré avec fleur de lys centrale) XXI et 487 pages, S. de G. doré en queue, toutes petites rousseurs sur la tranche supérieure. Stanislas de Guaita, Tarquimpol (Moselle) 1861 - Alteville 1897, occultiste et poète français, cofondateur avec Papus et Joséphin Péladan de l'Ordre kabbalistique de la Rose-Croix. Claude-Henri de Rouvroy, comte de Saint-Simon. Edition originale. Précieux exemplaire enrichi de: 1°/ l'Ex-libris manuscrit à la plume par Stanislas de Guaita sur la page de faux titre: Ex-libris Kabbalisticis Stanislaj de Guaita. 2°/ d'un texte manuscrite de sa main au verso la page de faux titre (note de 16 lignes sur Prosper Enfantin, extraite des Fous littéraires de Philomneste Junior, page 65). 3°/ d'une lettre manuscrite de 8 lignes signée par Prosper Enfantin (adressé à Mercier?) insérée en regard de la page de dédicace. Bel exemplaire finement relié à provenance de la bibliothèque du célèbre occultiste kabbaliste français Stanislas de Guaita
In-8 (209 x 134 mm), demi-maroquin rouge à grain long, dos orné de filets à froid, auteur et titre dorés (rel. moderne signée Laurenchet), (4), 194 p., 4 p. de catalogue éditeur, 2 grandes cartes dépliantes. Rare édition originale distribuée hors commerce "aux amis" et sympathisants fouriéristes, comme précisé par l'auteur dans son avertissement. Véritable programme matériel pour la colonisation phalanstérienne du Texas, l'ouvrage est illustré de deux grandes cartes repliées hors texte avec contours coloriés imprimées par Lemercier: une des États-Unis gravée par les Frères Avril, l'autre du Texas par F. Delamare, d'après J.-H. Colton. "Considérant développe son projet. Il relate son voyage et fait des descriptions du Texas qu’il présente comme la Terre promise et le lieu idéal pour l’expérimentation sociale (…). Il propose la fondation d’une agence de colonisation, suivie de la création d’un grand champ d’asile ouvert à toutes sortes d’expériences sociales, dont celles fouriéristes (…). Dès sa parution, "Au Texas" rencontra un succès immédiat qui dépassa toutes les prévisions (…). C’est poussé par ce succès et par l’impatience manifestée par les aspirants colons que François Cantagrel partit pour le Nouveau Monde le 3 oct. 1854 avec comme mission de rechercher l’emplacement de la future colonie" ("Les premiers socialismes", Expo. virtuelle, 2008, U. de Poitiers, en ligne). Né à Salins (Jura), polytechnicien, Victor Considérant (1808-1893) renonça à la carrière militaire pour se consacrer à la diffusion des idéaux fouriéristes, jusqu'à reprendre la tête du mouvement à la mort de Fourier en 1837. La "Colonie de Réunion" fondée près de Dallas (Texas) tourna rapidement au fiasco. Après plusieurs années à San Antonio, Considérant rentra à Paris en 1869 à la faveur d'une amnistie, adhéra un temps à la Première Internationale, puis se retira de la vie politique. Il est l'un des pionniers du socialisme en France. (Del Bo, p. 70. Dommanget, 'V. Considérant', n°46. Owes, n°697. Jenkins, 'Basic Texas Books', 33. Sabin, 1592). Page de titre montée sur onglet. Rousseurs et piqûres éparses. Les cartes sont parfaitement conservées. Bon exemplaire, bien relié.
1854384461854 In-8 (209 x 134 mm), demi-maroquin rouge à grain long, dos orné de filets à froid, auteur et titre dorés (rel. moderne signée Laurenchet), (4), 194 p., 4 p. de catalogue éditeur, 2 grandes cartes dépliantes. Paris, Librairie Phalanstérienne, 1854.
183743291A Paris, Au Bureau de la Phalange, 1837-1844. 3 vol. in-8 de IX-(3)-558 pp. 1 planche ; IX-(3)-LXXXVI-(2)-351 pp. ; VIII-(2) 355 à 595 pp., demi-veau prune, dos lisse orné, tranches marbrées (reliure de l'époque).
184443292Paris, Librairie de l'École sociétaire (Besançon, Imprimerie de Sainte-Agathe), 1844. In-8 de XVI-194 pp., demi-chagrin chocolat, dos lisse orné en long (reliure de l'époque).
18452872Paris, aux bureaux de la Phalange, 1845-1849. 10 vol. in-8, demi-veau vert, dos lisse orné de fers romantiques (reliure de l'époque).
3549all published. 2 p.l. xxiv 258 pp. Large 4to cont. half-calf & marbled boards very carefully rebacked with orig. spine laid-down spine gilt pale blue lettering piece on spine. Paris: Firmin Didot Frères 1831. First edition of the work which first contains "Fourier's theorem" on the number of real roots between two chosen limits. "At the time of his death Fourier was trying to prepare these and many other results for a book to be called Analyse des équations déterminées; he had almost finished only the first two of its seven livres. His friend Navier edited it for publication in 1831 inserting an introduction to establish from attested documents including the 1789 paper Fourier's priority on results which had by then become famous. Perhaps Fourier was aware that he would not live to finish the work for he wrote a synopsis of the complete book which also appeared in the edition. The synopsis indicated his wide interests in the subject of which the most important not yet mentioned were various means of distinguishing between real and imaginary roots refinements to the Newton-Raphson method of approximating to the root of an equation extensions to Daniel Bernoulli's rule for the limiting value of the ratio of successive terms of a recurrent series and the method of solution and applications of linear inequalities. Fourier's remarkable understanding of the last subject makes him the great anticipator of linear programming."-D.S.B. V p. 98. Very nice copy. Old library stamp on title. ❧ Cajori A History of Mathematics p. 433-This book "contains much original matter in particular there is a demonstration of Fourier's theorem on the position of the roots of an algebraical equation.". hardcover books
183062395Paris, Firmin Didot, 1830, in-4, de (4), XXIV, 258 pages et 1 planche, demi-chagrin marron postérieur, tête dorée, Très rare premier état à la date de 1830. Edition originale de la première, et seule partie parue, de l'ultime oeuvre mathématiques de Fourier publiée posthume par son ami Navier. "In constrast with the famous work on heat diffusion, Fourier's interest in the theory of equations is remarkably little know. Yet it has a much longer personal history, for it began in his sixteenth year when he discovered a new proof of Descarte's rule of sign and was just as much in progress at the time of his death [...]. Fourier's proof was based on multiplying f(x) by (x + p), thus creating a new polynomial which contained one more sign in its sequence and one more positive (or negative) root, according as p was less (or greater) than zero, and showing that the number of preservations (or variations) in the new sequence was not inscreased relative to the old sequence. Hence the number of variations (or preservations) is increased by at least one, and the theorem follows. The details of the proof may be seen in any textbook dealing with the rule, for Fourier's youthful achievement quickly became the standard proof, even if its authorship appears to be viertually unknown[...]". "Fourier appears to have proved his own theorem while in his teens and he sent a paper to the Academy in 1789. However, it disappeared in the thrumoil of the year in Paris, and the pressure of administrative and other scientific work delayed publication of the resultats untiel the late 1810's. Then he became involved in a priority row with Ferdinand Budan de Bois-Laurent, a part-time mathematician who had previously published similar but inferior result. At the time of his death, Fourier was trying to prepare thse and many other result for a book to be called Analyse des équations déterminées ; he had almost finished only the first two of its seven "livres". His friend Navier edited it for publication in 1831 [sic], inserting an introduction to establish from attested documents (including the delayed 1789 paper) Fourier's priority on results which had by then become famous. Perhaps Fourier was aware that he would not live to finish the work, for he wrote a synopsis of the complete book which also appeared in this edition. The synopsis indicated his wide interests in the subject, of which the most important not yet mentioned were various means of distinguishing between real and imaginary roots, refinements of the Newton-Raphson method of approximating to the root of an equation, extensions to Daniel Bernoulli's rule for the limiting value of the ratio of successive terms of a recurrent series, and the method of solution and applications of linear inequalities. Fourier's remarkable understanding of the last subject makes him the great anticipator of linear programming." On trouve à la suite, deux extraits d'articles de Fourier tirés des Mémoires de l'Académie des Sciences portant sur le sujet de la théorie des équations : -Sur la distinction des racines imaginaires, et sur l'application des théorèmes d'analyse algébrique aux équations transcendantes qui dépendent de la théorie de la chaleur (Mémoires de l'Académie royale des sciences de l'Institut de France, tome VII, Paris, Didot, 1827, pages 605 à 624) ; -Remarques générales sur l'application des principes de l'analyse algébrique (lues à l'Académie des Sciences le 9 mars 1829 et publiées dans les Mémoires de l'Académie Royale des Sciences de l'Institut de France, tome X, Paris, Didot, 1831 ; pages 119 à 146). Bel exemplaire, à toute marge, portant l'ex-libris imprimé du bibliophile Henri Viellard et l'estampille, annulée, de l'Institut Catholique de Paris. DSB, V, p. 93-99. Couverture rigide
14178Paris, Bossange, Mongie, [Besançon, Vve Daclin], 1822.
182916403Paris, Bossange père, P. Mongie ainé, 1829. In-8 de XVI-576 pp., demi-basane blonde, dos lisse orné, pièce de titre en veau noir (reliure de l'époque).Le Nouveau Monde Industriel, ou Invention du Procédé d'Industrie attrayante et combinée, distribuée en séries passionnées. Livret d'annonce. Paris, Bossange Père et les Marchands de Nouveautés, 1830. In-8 broché de 88 pp., couverture imprimée.
