Paris, Gauthier-Villars et Fils, Imprimeurs-Libraires du Bureau des Longitudes, de l'Ecole Polytechnique,1888-1890, 2 volumes in-4 de 270x220 mm environ, xxviii-563 et xii-636 pages, demi-chagrin chocolat, dos à nerfs portant titres et tomaisons dorés, ornés de petits fleurons dorés aux entrenerfs, gardes marbrées. Dos et mors frottés, coins émoussés, un feuillet détaché à la fin du premier volume (sans manque), premiers mors fendu à l'intérieur, intérieurs propres.
Jean Baptiste Joseph Fourier est un mathématicien et physicien français né le 21 mars 1768 à Auxerre et mort le 16 mai 1830 à Paris. Il est connu pour avoir déterminé, par le calcul, la propagation de la chaleur en utilisant la décomposition d'une fonction quelconque en une série trigonométrique convergente. Merci de nous contacter à l'avance si vous souhaitez consulter une référence au sein de notre librairie.
Paris, 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
Bon
"FOURIER, (JEAN BAPTISTE JOSEPH). - FOURIER'S THEORY OF EQUATIONS.
Reference : 42087
(1830)
Paris, Firmin Didot Frères, (1830) 1831. 4to. Orig. clothbacked boards. Red titlelabel in paper with gilt lettering on spine. Spine faded and with small nicks to titlelabel and spine. Light wear to spine ends. (4),XXIV,258 pp. and 1 folded engraved plate. Htitle a bit browned. A few scattred brownspots. A wide-margined copy.
Scarce first edition (with the reprinted titlepage 1831 instead of 1830).Fourier's ""Analyse des equations determines"" constitutes a highly important work on the theory of equations, a work which occupied Fourier throughout his life and the last thing that he wrote. The work contains numerous theories that had not previously been published, e.g. his method of solution and applications of linear qualities, due to which he actually anticipated linear programming.The work was of great importance to Fourier himself, who had attempted to publish some of his important results on the subject as early as 1789 and who later ended up in a priority-dispute due to the much delayed publication of one of these results (the Fourier-Budan theorem). His final opus constitutes his final preparation of the Fourier-theorem as well as many other important theories and results connected to his theory of equations, and it thus presents us with his final views on this important science. ""[H]e 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 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."" (D.S.B., V:98). - Honeyman IV:1361.
Paris, 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
Bon de (4), XXIV, 258 pages et 1
Paris, Firmin Didot Frères, (1830) 1831. 4to. Contemp. hcalf. Richly gilt spine. A paperlabel pasted on top of spine. (4),XXIV,258 pp. and 1 folded engraved plate. A few minor brownspots. A fine, wide-margined copy.
Scarce first edition (with the reprinted titlepage 1831 instead of 1830).Fourier's ""Analyse des equations determines"" constitutes a highly important work on the theory of equations, a work which occupied Fourier throughout his life and the last thing that he wrote. The work contains numerous theories that had not previously been published, e.g. his method of solution and applications of linear qualities, due to which he actually anticipated linear programming.The work was of great importance to Fourier himself, who had attempted to publish some of his important results on the subject as early as 1789 and who later ended up in a priority-dispute due to the much delayed publication of one of these results (the Fourier-Budan theorem). His final opus constitutes his final preparation of the Fourier-theorem as well as many other important theories and results connected to his theory of equations, and it thus presents us with his final views on this important science. ""[H]e 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 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."" (D.S.B., V:98). - Honeyman IV:1361.
, 1819-1831, in-4, pagination multiple, demi-chagrin brun, dos à faux nerfs [H. Durand], Fourier fut l'un des savants qui participa à la reconstitution de l'Académie des Sciences en 1817 ; il en devint le secrétaire perpétuel en 1822. Il publia plusieurs travaux au sein des Mémoires de l'Académie, dont ceux ici présentés, notamment le rapport de la commission dont Fourier faisait partie, avec Lacroix et Poisson, au sujet des tontines : ce travail suscita un grand intérêt à l'époque où il parut et il fut perçu comme oeuvre de bien public. En effet, Fourier y dénonçait ces groupe d'épargnants percevant des intérêts viagers lors du décès de l'un des associés ; d'une part, concluait-il, ce système implique la part funeste du hasard en lieu et place de ce qui devrait être le fruit du travail, d'autre part il encourage la jouissance personnelle et le retrait de la société. Les pièces extraites de l'Histoire de l'Académie sont reliées dans l'ordre suivant : 1. "Mémoire sur la température des habitations et sur le mouvement varié de la chaleur dans les prismes rectangulaires". Extrait des Mémoires de l'Académie Royale des Sciences et de l'Institut, année 1817, T. II (publication : 1819) ; Histoire de l'Académie Royale des Sciences), p. XVIII à XXVI. 2. "Recherches sur l'analyse algébrique". Extrait des Mémoires de l'Académie Royale des Sciences et de l'Institut, année 1821-1822, T. V (publication : 1826) ; Histoire de l'Académie Royale des Sciences, p. 9 à 11. 3. "Rapport sur les tontines, présenté dans la séance du 9 avril 1821. La commission était composée de MM. Fourrier, rapporteur, Lacroix et Poisson". Id, p. 26 à 43. Les rapports suivants donnent l'analyse des travaux de l'Académie pour la partie mathématique : Fourier en est désormais le rapporteur, après avoir succédé à Delambre en tant que secrétaire perpétuel en 1822. 4. "Rapport lu dans la séance publique de l'institut, le 24 avril 1823". Id, p. 231 à 320. 5. Géométrie. Extrait des Mémoires de l'Académie Royale des Sciences et de l'Institut, année 1823, T. VI (publication : 1827) ; Histoire de l'Académie Royale des Sciences), p. I à LX. 1823. 6. "Rapport lu dans la séance publique de l'institut, le 24 avril 1824". Extrait des Mémoires de l'Académie Royale des Sciences et de l'Institut, T. VII (1827). P.I à XCI. 7. Géométrie. Extrait des Mémoires de l'Académie Royale des Sciences et de l'Institut, T. VIII (publication : 1829) ; Histoire de l'Académie Royale des Sciences, p. I à LXXII. 8. Géométrie. Analyse des travaux de l'Académie Royale des Sciences pendant l'année 1826. Extrait des Mémoires de l'Académie Royale des Sciences et de l'Institut, T. IX (publication : 1830) ; Histoire de l'Académie Royale des Sciences), p. I à XCV. 9. Géométrie, "Supplément au cinquième volume du Traité de la mécanique céleste de M. Laplace". Analyse des travaux de l'Académie Royale des Sciences pendant l'année 1827. Extrait des Mémoires de l'Académie Royale des Sciences et de l'Institut, T. X (publication : 1831) ; Histoire de l'Académie Royale des Sciences, p. I à LIX. La 10e pièce, reliée à à suite du rapport sur les tontines, est extraite quant à elle du Journal de physique, de chimie et d'histoire naturelle, novembre an 1821 : "Considérations générales sur la population (Extrait des Mémoires statistiques de la ville de Paris)". Tome XCIII, novembre 1821, p. 321 à 446. 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. Il est reconnu pour sa célèbre Théorie de la chaleur, élaborée dès 1805. Ex-libris imprimé du bibliophile Henri Viellard et l'estampille annulée de l'Institut Catholique de Paris. Couverture rigide
Bon pagination multiple
"FOURIER, (JEAN BAPTISTE JOSEPH). - THE GREENHOUSE - EFFECT.
Reference : 43911
(1824)
(Paris, Crochard, 1824). Without wrappers. In: ""Annales de Chimie et de Physique, Par MM. Gay-Lussac et Arago."", tome 27, Cahier 3. Pp. 225-336. (Entire issue offered). Fourier's paper: pp. 236-281.
First printing of this importent paper dealing with the ""Green-House-Effect"". It is the second paper from 1824 in which Fourier investigates the connection between the temperature of the earth and radiation. Fourier's analysis in these two papers is widely recognized as the first proposal of what is now known as the greenhouse effect theory.In the 1820s Fourier calculated that an object the size of the Earth and at its distance from the Sun should be considerably colder than the planet actually is if warmed only by the effects of incoming solar radiation. He examined various possible sources of the additional observed heat in articles published in 1824 (the paper offered is the second of the papers published 1824) and 1827. While he ultimately suggested that interstellar radiation might be responsible for a large portion of the additional warmth, Fourier's consideration of the possibility that the Earth's atmosphere might act as an insulator of some kind is widely recognized as the first proposal of what is now known as the greenhouse effect theory.
S.l.n.d., ca ( 1816 ). Une page in-8.
Bon état. Jean-Baptiste-Joseph Fourier (1768-1830) se vit confier une chaire d'analyse mathématique à la fondation de l'école polytechnique, puis fut nommé secrétaire perpétuel de l'Académie que Bonaparte fonda au Caire en 1798, sous la présidence de Monge. Il fut nommé membre de l'Académie des sciences en 1816, puis à l'Académie française en 1826. Ses recherches scientifiques se rapportent surtout aux mathématiques. On lui doit un mémoire sur sur la résolution des équations aux dérivées partielles, un nouveau mode de développement des fonctions en série, ainsi que la Théorie analytique de la chaleur, publiée en 1822.
P., Gauthier-Villars, 1888/1890, 2 fort volumes in 4 reliés en demi-chagrin noir, têtes dorées, (reliure postérieure), T.1 : 28pp., 563pp., T.2 : 12pp., (2), 636pp.
---- EDITION ORIGINALE DES OEUVRES DE FOURIER ---- TRES BEL EXEMPLAIRE SUR GRAND PAPIER ET GRAND DE MARGES ---- "The first volume contains FOURIER's Théorie analytique de la chaleur with a separate title-page, reproducing that of the first edition of 1822. This work enormously influential in both pure and applied mathematics, more so, perhaps than any other important work in theoretical physics before or after up to the presend day. His manner of dealing with a succession of increasingly complex problems based on the heat propagation equation yielded a harvest of original mathematical discoveries and techniques which laid the foundation for further work in both pure and applied mathematics and in theoretical physics. The second volume contains FOURIER's memoirs published in the Mémoires of the Academy, in the Bulletins de la Société philomatique and in the Annales de Chimie et de physique...". (Bibliotheca mathematica p. 119) ---- DSB V, pp. 93/99**6217/P5AR
Paris, 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.
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.
"ØRSTED (OERSTED), H.C. & FOURIER, (JEAN BAPTISTE JOSEPH). - COINING THE WORD 'THERMO-ELECTRIC""
Reference : 45991
(1823)
Paris, Crochard, 1823. No wrappers. In: ""Annales de Chimie et de Physique, Par MM. Gay-Lussac et Arago."", tome 22 (Cahier 4), With titlepage to vol. 22. Pp. 337-444. (Entire issue offered). Oersted & Fourier's paper: pp. 375-389 and 1 folded engraved plate. showing apparatus used.
First appearance of this importent paper - which can bee seen as the precursor of OHM'S LAW - in which Ørsted explains the experiments he did together with Fourier on the thermo-electric effects discovered by Seebeck. They proved with different experiments, that the effect depended solely on the heating of the plates in the voltaic arrangements. Ørsted calls Seebech's observations ""the most beautiful of the discoveries which have as yet grown out of mine (his discovery of electromagnetism three years before)""""We learn from his letters that thet the experiments on which the paper was founded had taken him 3 weeks, a space of time which evidently much too short for the performance of the work" thus Ørsted himself points out a fundamental flaw in the experiments, but there has been no time to remedy it. The work is of interest, both by what has been gained through it, and by what does not plainly appear" in some of its results it is the precursor of Ohm's law and by its defects it shows how great was the feat of the actual discovery of this law.""(Kirstine Meyer).The offered issue contains further Poisson ""Sur le Phénomene des anneaux colorés"", pp. 337-347., Ørsted ""Sur le Multiplacateur électro-magnetique de M. Schweigger, et sur quelques applications qu'on en a faites"", pp. 358-365, Ampère ""Extrait d'une Lettre de M. Ampère à M. Faraday"", pp. 389-400.
"FOURIER, (JEAN BAPTISTE JOSEPH). - THE PHYSICAL THEORY OF HEAT.
Reference : 48917
(1817)
Paris, Crochard, 1817. Contemp. hcloth. Spine with gilt lettering. In: ""Annales de Chimie, ou Recueil de Mémoires concernant la Chemie"" 2e Series, Tome 6. - 448,(4) pp. a. 2 engraved plates. (The entire volume offered). Fourier's paper: pp. 259-303. A few scattered brownspots.
First apperance of this importent memoir in which Fourier gives an account of the Physical theory of heat conduction and radiation.""Fourier made observations on the heating power of the Sun and on night-time refrigeration. He conducted experiments on the heating and cooling of objects of different composition and shape, and on the transmission,absorption and reflection of radiant 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."" (James R. Fleming)
"FOURIER, (JEAN BAPTISTE JOSEPH). - THE PHYSICAL THEORY OF HEAT.
Reference : 49605
(1817)
Paris, Crochard, 1817. Contemp. hcalf. Spine with gilt lettering. Light scratching to spine In: ""Annales de Chimie, ou Recueil de Mémoires concernant la Chemie"" 2e Series, Tome 6. - 448,(4) pp. a. 2 engraved plates. (The entire volume offered). Fourier's paper: pp. 259-303. Internally clean and fine. Stamps on verso of title-page.
First apperance of this importent memoir in which Fourier gives an account of the Physical theory of heat conduction and radiation.""Fourier made observations on the heating power of the Sun and on night-time refrigeration. He conducted experiments on the heating and cooling of objects of different composition and shape, and on the transmission,absorption and reflection of radiant 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."" (James R. Fleming).The volume contains other notable papers JOHN MURRAY ""Analyse de l'Eau de mer,et Observations sur l'analyse des sources salées"", first edition in French, MAGENDIE ""Mémoire sur Emploi de l'Acide prussique dans le traitement de plusieurs maladies de poitrine, et particulierement dans la phthisie pulmonaire"", by Leopol de Buch, Gay-Lussac etc. etc.
"FOURIER, (JEAN BAPTISTE JOSEPH). - FIRST PRINTING OF ANY PART OF ""THE ANALYTICAL THEORY OF HEAT""
Reference : 49626
(1816)
Paris, Crochard, 1816. Contemp. hcloth. Spine with gilt lettering. In: ""Annales de Chimie et de Physique, Par MM. Gay-Lussac et Arago."" Sweries 2, tome 3. (Entire volume offered). 448 pp. a. 3 engraved plates. A library stamp to some upper corners. Fourier's paper: pp. 350-375. A few scattered brownspots.
First appearance in print of any part of Fourier's landmark work ""Théorie Analytique de la Chaleur"" which was published in 1822. The 2 large memoirs (of 1811) out of which - together with the offered memoir - grew his landmark work were only published in 1824 and 1826.The volume contains also original papers by LAPLACE, GAY-LUSSAC, MAGENDIE, PRONY, HUMBOLDT, BIOT etc.etc.""In 1816 Fourier published a paper (the paper offered) announcing the imminent appearance of a book on both the mathematical and the physical aspects of heat (Fourie 1816)"" but six years were to pass before a book was published, and it covered only the mathematical sides. In the 'preliminary discourse' he stated that its writing and printing had taken a long time (p. xvii)."" (Grattan-Guiness ""Landmark Writings in Western Mathematics 1640-1940"", p.356).
Paris, Crochard, 1816. 8vo. In contemporary half calf. Spine with gilt lettering. In: ""Annales de Chimie et de Physique, Par MM. Gay-Lussac et Arago."" Sweries 2, tome 3. (Entire volume offered). 448 pp. and 3 engraved plates. Library stamps to verso of title-page and verso of plates. Fourier's paper: pp. 350-375. A few scattered brownspots.
First appearance in print of any part of Fourier's landmark work ""Théorie Analytique de la Chaleur"" which was published in 1822. The 2 large memoirs (of 1811) out of which - together with the offered memoir - grew his landmark work were only published in 1824 and 1826. The volume contains also original papers by LAPLACE, GAY-LUSSAC, MAGENDIE, PRONY, HUMBOLDT, BIOT etc.etc. ""In 1816 Fourier published a paper (the paper offered) announcing the imminent appearance of a book on both the mathematical and the physical aspects of heat (Fourie 1816)"" but six years were to pass before a book was published, and it covered only the mathematical sides. In the 'preliminary discourse' he stated that its writing and printing had taken a long time (p. xvii)."" (Grattan-Guiness ""Landmark Writings in Western Mathematics 1640-1940"", p.356).
"FOURIER, (JEAN BAPTISTE JOSEPH). - TOWARDS THE ANALYTICAL THEORY OF HEAT - FIRST GERMAN EDITION.
Reference : 44820
(1824)
Leipzig, Johann Ambrosius Barth, 1824. Without wrappers as issued in ""Annalen der Physik und Chemie. Hrsg.von Poggendorff"", Bd. 2, Jahrgang 1824, Zwölftes Stück. Pp. 345-448 (entire issue offered). Fourier's paper: pp. 359-402.
First German edition (in the same year as the French "" Résumé théorique des Propriétés de la chaleur rayonnante"") of this importent paper which gives an analytical account of surface-emissions and absorption based on the principle of equilibrium of temperature, forecasting the more elaborated theories which he published in his famous work ""La Therorie analytique de la chaleur. 1822"". His analytical mathematical method, that any continous function can be represented as a sum of sine and cosine curves, is here applied to physical problems f.i. his treatment of the warming (and cooling) of the earth and terrestrial temperatures. The theory of terrestrial temperatures played a central role in Fourier's mathematical physics.
"FOURIER, (JEAN BAPTISTE JOSEPH). - TOWARDS THE ANALYTICAL THEORY OF HEAT.
Reference : 41346
(1816)
(Paris, Crochard, 1816, 1817,1817,1820, 1824, 1824, 1825). Without wrappers as issued in: ""Annales de Chimie et de Physique, Par MM. Gay-Lussac et Arago."". Vol. 3, pp. 350-375. - Vol. 4, pp. 128-145. - Vol. 6, pp. 259-303. - Vol. 13, pp. 418-38. - Vol. 27, pp. 136-167. - Vol. 27, pp. 236-281. - Vol. 28, pp. 337-365.
All first edition and first appearances of papers forecasting the more elaborated theories which he published in his famous work ""La Therorie analytique de la chaleur. 1822"". His analytical mathematical method, that any continous function can be represented as a sum of sine and cosine curves, is here applied to physical problems f.i. his treatment of the warming (and cooling) of the earth and terrestrial temperatures (f.i. the papers offred here no.1, 2, 4, 5 a. 6). The theory of terrestrial temperatures played a central role in Fourier's mathematical physics..An. 1. Description of the 4to volume, which was afterwards published in 1822 without the chapters on radiant heat, the solar heat as it effects the earth, the comparison of analysis with the experiment, and the history of rise and progress of the theory of heat. As such the paper contains importent applications and results not described in ""Theorie analytique...1822.""An. 2. This is a mathematiccal sketch on the sine law of emission of heat from a surface. The authors paradox on the hypothesis of equal intensity of emission in all directions, is here proved.An. 3. An elegant physical treatise on the discoveries of Newton, Pictet, Wells, Wollaston, Leslie and Prevost.An. 4. A Sketch of a memoir, mathematical and descriptive, on the waste of the earth's initial heat.An. 5. A descriptive memoir, read before the Academy 20. a. 29. Sept 1824 and later published in ""Memoires de l'Academy..."", Tome VII, 1827.An. 6. An elementary analytical account of surface-emissions and absorption based on the principle of equilibrium of temperature. This paper comes with Poisson's ""Observations relatives à un Mémoire sur l'Equilibre d'une masse fluide, inséré dans la Transactions philosophique de cette année."" Pp. 225-236.An. 7. An elementary analysis of emissionn, absorption and reflexion by walls of enclosure uniformly heated. At p. 364, Fopurier, promises a ""Theorie physique de la chaleur"" to contain the applications of the ""Theorie analytique"" omitted in teis work published 1822.
"FOURIER, (JEAN BAPTISTE JOSEPH). - A PRECURSOR TO THE ANALYTICAL THEORY OF HEAT.
Reference : 48083
(1817)
Paris, Crochard, 1817. Contemp. hcalf. Gilt spine. Spine slightly rubbed. Stamps on verso of titlepage. In ""Annales de Chimie et de Physique"", Tome IV, 2. Series. 448 pp. a. 1 engraved plates. (Entire volume offered). Fourier's paper: pp. 128-145. Clean and fine.
First appearance of this importent precursor to his ""Theorie mathematique de chaleur"", being a mathematiccal sketch on the sine law of emission of heat from a surface. The authors paradox on the hypothesis of equal intensity of emission in all directions, is here proved.
Berlin, Springer, 1884, un volume in 8 relié en demi-chagrin vert, dos orné de fers dorés, tranches jaspées (reliure de l'époque), 32pp., 476pp., figures dans le texte
---- FIRST GERMAN EDITION ---- BEL EXEMPLAIRE ---- EXEMPLAIRE DU CELEBRE MATHEMATICIEN FRANCAIS Joseph Alfred SERRET avec son nom inscrit sur une étiquette insérée entre le faux-titre et la page de titre ---- "Devoting himself to studying the flow of heat within a particular object, he discovered the Fourier theorem ; any periodic oscillation can be broken into a series of regular wave motions, the sum of which will be the original complex periodic variation. The announcement of this discovery in 1807 brought Fourier universal recognition and the title of Baron...". (Bibliotheca mathematica p. 118) ---- DSB V**8904/L6DE
FOURIER, (JEAN BAPTISTE JOSEPH) - INVESTIGATIONS ON HEAT FLOW.
Reference : 44899
(1828)
(Paris, Crochard, 1828). 8vo. Without wrappers. Extract from 'Annales de Chimie et de Physique', Series 2 - Volume 37. With halftitle to vol. 37. Pp. 291-315 and 1 folded engraved plate, depicting experimental apparatus and the new contact thermometer.
First appearance of an importent paper investigating the heat flow in different substances by using his new contact thermometer.
Œuvres de Fourier publiées par les soins de M. Gaston Darboux, sous les Auspices du Ministère de l'Instruction Publique. Tome premier : Théorie Analytique de la Chaleur - Tome Second : Mémoires publiés dans divers Recueils . Paris, Gauthier-Villars et Fils, Imprimeurs-Libraires du Bureau des Longitudes, de l’École Polytechnique,1888-1890, 2 volumes in-4 (270x220mm) , xxviii-563 et xii-633 pages, table des matières , demi-veau , dos lisse orné, cachet , frontispice au tome II ,coiffe sup. Déchirée tome I P1-26
(Paris, Crochard, 1823). 8vo. Without wrappers as extracted from: ""Annales de Chimie et de Physique, Par MM. Gay-Lussac et Arago."", Vol. 22, pp. 375-389.
First appearance of this paper, revealing the results of experiments with the galvanic elements, using pairs of small antimony and bismuth bars welded in series, which Oersted performed together with Fourier during his visit to Paris. This constitutes the invention of the first thermo-electrical pile. Oersted and Fourier had found that heat had a significant effect upon the performance of the galvanic element. - ""Seebeck seems to have had another theory about this. However, I have experimented with the matter, and found the conjecture correct. I believe that this discovery will be of far-reaching consequence. The laws for this new effects are, I suppose, in reality the same as for the galvanic battery"" yet this looks so different that I have been obliged to spend a great deal of my time during the last fortnight in discovering and defining them..."". In a letter of somewhat later date to prince Christian, he states that he has made the experiments ""in conjunction with Fourier, the secretary of the mathematical department of the Institute"". Oersted, when reading this paper to the Academy on 31st of March 1823, proposed the name ""thermo-electric"" for these currents, a name which has since been adopted everywhere. Ronalds Catalogue p. 374. - Ørsted, Works II, p. 272. Stitched together with this paper is ""Extrait d'une Lettre de M. Ampere à M. Faraday"". Pp. 389-400. First printing. Dealing with electricity.
Paris, De Feugueray, 1820. Uncut in orig. printed wrappers, partly unopened. In: ""Annales de Chimie et de Physique, Par Gay-Lussac et Arago."", Tome XIII - Avril 1820. The whole issue: pp. 337-448. Laplace's paper: pp. 410-417. Fourier's paper:pp. 418-438.
Both papers discusses the cooling of the earth in order to calculate the age of the earth.