‎Poincaré raymond‎

‎A LA PAGE-N°240-JEUDI 25 OCTOBRE 1934‎

‎16 PAGES-29,5 CM X 41 CM-EN UNE "LES FUNERAILLES DU PRESIDENT POINCARE A NOTRE-DAME"-LE FILM DE LA MAUVAISE CHANCE, ASSASSINAT DU ROI ALEXANDRE DE YOUGOSLAVIE, MOLLISON-UN NOUVEAU FILM DE RENE CLAIR "LE DERNIER MILLIARDAIRE", 2P, 8 PHOTOS, MAX DEARLY, RENEE SAINT CYR, CARPENTIER-ALBERT FLORY, PHOTO (PJ14)‎

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‎DETECTIVE-N°844-31 AOUT 1962‎

‎28 PAGES-29 CM X 41 CM-EN COUVERTURE "LE SORCIER DE LA PIERRE-LEVEE GRACE AU JUGE D'INSTRUCTION L'ARME DU CRIME DEVIENT L'ARME DE L'ACCUSATION" "CE CRIMINEL RETORS N'AURAIT JAMAIS AVOUE SANS L'HABILETE DU JUGE GASTON"-DRAME PASSIOINNEL A L'HOPITAL POINCARE "TU NE SERAS A AUCUN AUTRE", JACKY AVAIT CONDAMNE LA GENTILLE MONIQUE, 1P, 2 PHOTOS, GARCHES-L'AFFAIRE DE LA PIERRE LEVEE, 2P, 4 PHOTOS-L'ODIEUSE MISE EN SCENE DU MEURTRE DE M. RAULT, 1P, 2 PHOTOS-JULIETTE GRECO EST EN TRAIN DE CEDER DEVANT ZANUCK, 1P, 2 PHOTOS-LA FEMME DU DOUANIER ETAIT TROP COURTISEE, CRESTOT, 1P, 4 PHOTOS-COMME MATTEI LE PLONGEUR SAMPIERI LE TRUAND EST MORT DE QUATRE BALLES DANS LA TETE, 2P, 3 PHOTOS, AJACCIO-AU CIMETIERE DE TOULON DEUX HOMMES SE VOUAIENT UNE HAINE FAROUCHE, 1P, 2 PHOTOS, GUEYE, LEPLAT-LE DUEL FRATRICIDE DE SCHIRRHEIN, 1P, 3 PHOTOS, SCHERER-LE MYSTERE DU BOIS D'EHEIN, EN AVOUANT SON MEURTRE CRENIER A GARDE SON SECRET, 2P, 3 PHOTOS, SERAING‎

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‎L'ILLUSTRATION-N°4609-4 JUILLET 1931‎

‎28,5 CM X 38 CM-EN COUVERTURE: LES ENTRETIENS FRANCO-AMERICAINS DE PARIS-EN COUVERTURE INTERIEURE M RAYMOND POINCARE ELU BATONNIER DE L'ORDRE DES AVOCATS-LE COURONNEMENT DE NOTRE DAME DE LA GARDE, PAR EMILE RIPERT, 1P, 2 PHOTOS-L'OUVERTURE DU PARLEMENT NATIONAL CHINOIS, 4 PAGES, 14 PHOTOS-UN ARTISTE EN AFRIQUE OCCIDENTALE, TEXTE ET PEINTURES DE A NIVELT, 4 PAGES, 6 REPRODUCTIONS COULEURS, SOUDAN, SENEGAL, COTE D'IVOIRE-EN ECOUTANT FORAIN (SUITE ET FIN), 4 PAGES PAR LEANDRE VAILLAT, 8 PHOTOS-MORT DE CELESTIN SORET, PHOTO-L'ABANDON DE L'EPAVE DU PAQUEBOT "EL GOLEA", 1P, 2 PHOTOS-POUR LA SANTE PUBLIQUE ET LA RACE L'HYGIENE PAR L'EAU, 1P, CARTE DE FRANCE AVEC PROPORTION PAR DEPARTEMENT DES COMMUNES POSSEDANT UNE ADDUCTION D'EAU-COMPLET DES PUBLICITES-5EM323)‎

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Bookseller reference : ABE-1677981715718

‎L'OEUVRE-N°1174-MARDI 10 DECEMBRE 1918‎

‎4 PAGES FORMAT 37 CM X 54 CM-P1: LA DEMOBILISATION CINQUANTE-DEUX MOIS DE RETARD-APRES LA LIBERATION LES MEMBRES DU GOUVERNEMENT EN ALSACE-LORRAINE LE PRESIDENT DE LA REPUBLIQUE RECOIT LES CLEFS DE STRASBOURG-LES ACCIDENTS DE M. CLAVEILLE-L'ARRIVEE DU PRESIDENT WILSON-P2: POINCARE, A LA CATHEDRALE, AU TEMPLE ET A LA SYNAGOGUE-DESSIN DE GUERIN, COUPLE, "-QUE DE FETES!-OUI, JE CROIS QUE NOUS DEVENONS DES FETISTES!"-P3: UNE EXPOSITION D'ARTISTES POLONAIS LE PEINTRE MAURICE ASSELIN LES LITHOGRAPHIES DE JEAN-CH. CONTEL-L'AFFAIRE HUMBERT-P4: LE GOUVERNEMENT DE FRITZ EBERT S'ATTEND A UN NOUVEL ASSAUT DES PARTISANS DE LIEBKNECHT-DECHIRURE SANS MANQUES EN PLIURE CENTRALE 10CM‎

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‎LA SEMAINE LITTERAIRE-N°76-15 JUIN 1913‎

‎24 PAGES FORMAT 22 CM X 30 CM-EN COUVERTURE "M.POINCARE ET M.ETIENNE QUITTANT LE "JULES MICHELET" APRES LA GRANDE REVUE NAVALE DE TOULON"-A L'ASSAUT DU POLE,ARRIVEE A PARIS DE PEARY,PHOTO-LE GRAND PRIX DE LITTERATURE,ROMAIN ROLLAND,"JEAN CHRISTOPHE",3P PAR JEAN LAUREC-UN INVENTAIRE AU MONT SAINT-MICHEL EN 1792,3P-L'HUMOUR NEGRE,CARL MEINHOF-EN DERNIERE PAGE PHOTO "VOITURE INVENTEE PAR LE CAPITAINE PUISSY POUR LE TRANSPORT DES BLESSES PAR LES CHIENS AMBULANCIERS"‎

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‎LE JOURNAL-MERCREDI 23 JUILLET 1919‎

‎4 PAGES-43 CM X 62 CM-BRUXELLES ACCLAME LES ARMEES ALLIEES DISCOURS DE M.POINCARE AU PARLEMENT BELGE, PHOTO-L'ANGLETERRE RATIFIE L'ALLIANCE FRANCO-BRITANNIQUE-GRAND DEBAT A LA CHAMBRE SUR LA POLITIQUE GENERALE, PHOTO CHAUMET-4 DESSINS DE KERN-CONTE DU "JOURNAL": "L'ARAIGNEE", DE JEANNE LANDRE‎

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‎LE PELERIN-N°2438-DIMANCHE 16 DECEMBRE 1923‎

‎16 PAGES FORMAT 19 CM X 26,5 CM-EN COUVERTURE "M. DOULCET LE NOUVEL AMBASSADEUR DE FRANCE AUPRES DU VATICAN", DESSINS DE LECOULTRE-MORT DE MAURICE BARRES, PHOTO-LES MERVEILLES DE LA TSF-"MARCHE, MARCHE DONC!", SOEUR SAINTE-THERESE-MARIE, COUTANCES, 2 DESSINS COULEURS DE GIGNOUX-EN 4 DE COUVERTURE: 2 DESSINS COULEURS PAR CYP "LES DEUX ATTITUDES DE L'ANGLETERRE", POINCARE LLOYD GEORGE BALDWIN‎

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‎LE CHARIVARI-N°159-13 JUILLET 1929‎

‎28 PAGES-19,5 CM X 27,5 CM-COUVERTURE COULEURS DE RALPH SOUPAULT "NOTRE BASTILLE DETTES QUI LA DEMOLIRA?", POINCARE-"AMOUR PROPRE!!, DESSIN PLEINE PAGE DE BEN‎

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Bookseller reference : ABE-18523961720

‎"POINCARÉ, H. (+) VITO VOLTERRA.‎

‎L'oeuvre mathématique de Weierstrass (+) Sur les Propriétes du potentiel et sur les Fonctions Abéliennes [Poincaré] (+) Sur la Théorie des Variations des Latitudes [Poincaré].‎

‎Berlin, Stockholm, Paris, Beijer, 1899. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 22, 1899. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. pp. 1-18" Pp. 89-178" Pp. 201-358.[Entire volume: (4), 388, 2 pp].‎

‎First printing of these important papers: POINCARÉ: First edition. ""As soon as he came into contact with the work of Riemann and Weierstrass on Abelian Functions and algebraic geometry, Poincaré was very much attracted by those fields. His papers on these subjects occupy in his complete works as much space as those on automorphic functions, their dates ranging from 1881 to 1911. One of his main ideas in these papers is that of ""reduction"" of Abelian functions. Generalizing particular cases studied b Jacobi, Weierstrass, and Picard, Poincaré proved the general ""complete reducibility"" theorem...""(DSB).VOLTERRA: First edition. As the north and south poles, instead of being fixed points on the earth's surface, wander round within a circle of ab. 5o ft. in diameter, the result is a variability of terrestial latitudes generally. Volterra gives an elaborate mathematical analysis of these yearly fluxtuations.‎

Bookseller reference : 49640

‎"POINCARÉ, HENRI.‎

‎La méthode de Neumann et le problème de Dirichlet.‎

‎[Berlin, Stockholm, Paris, Beijer, 1897]. 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 20, pp. 59-142.‎

‎First printing of Poincaré's paper in which he succeeded in converting differential equations into integral equations. ""It became a major technique for solving initial-and boundary-value problems of ordinary and partial differential equations and was the strongest impetus for the study of integral equations."" (Morris Kline).‎

Bookseller reference : 45850

‎"POINCARÉ, H. [DAVID HILBERT].‎

‎Rapport sur le Prix Bolyai. - [POINCARÉ APPRAISAL OF HILBERT]‎

‎Berlin, G. Reimer, 1912. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 35, 1912. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. Pp. 1-28. [Entire volume: (4), 398, (1), 27, 19 pp].‎

‎First appearance of Poincaré's report on 1910 Bolyai Prize which was awarded to David Hilbert in recognition of his work in fields of invariant theory, transcendent number (e constant after Lindemann), arithmetic, the (Hilbert-)Waring theorem, geometry, integral equations and the Dirichlet’s principle.In 1910, Hilbert became only the second winner of the Bolyai Prize of the Hungarian Academy of Sciences. It was the recognition of the fact that Hilbert was one of the leading mathematicians of his time. The first winner of the prize in 1905 was Henri Poincare, the most prolific mathematician of the 19th century.Poincaré about the works and achievements of David Hilbert in fields of invariant theory, transcendent number (e constant after Lindemann), arithmetic, the (Hilbert-)Waring theorem, geometry, integral equations and the Dirichlet’s principle.‎

Bookseller reference : 49614

‎"POINCARÉ, H.‎

‎Remarques sur les intégrales irrégulières deséquations linéaires.‎

‎Berlin, G. Reimer, 1887. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 10, 1887. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. Pp. 310-12. [Entire volume: (4), 397 pp].‎

‎First printing of Poincaré's reply to Thomé's critique of an earlier paper by Poincaré. In his reply Poincaré ""seems to have created a theory of asymptotic expansions where previously there had only been ad hoc techniques, and to have opened the door for the return into rigorous mathematics of divergent series."" (Bottazzini, Hidden Harmony).‎

Bookseller reference : 49613

‎"POINCARÉ, H.‎

‎Réflexions sur les deux notes précédentes.‎

‎Berlin, Uppsala & Stockholm, Paris, Almqvist & Wiksell, 1909. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 32, 1909. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. pp. 195-200.[Entire volume: (6), 392, 12 pp].‎

‎First appearance of Poincaré's paper on Schoenfliess and Zermolo's paper published in the same volume (vol. 32).‎

Bookseller reference : 49639

‎"POINCARÉ, HENRI.‎

‎Sur les Intégrales irrégulieres des Equations linéaires. - [THE FORMAL THEORY OF ASYMPTOTIC SERIES]‎

‎(Berlin, Uppsala & Stockholm, Paris, 1886). 4to. Without wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", Bd. 8, pp. 295-344.‎

‎First edition. ""The full recognition of the nature of those divergent series that are useful in the representation and calculation of functions and a formal definition of those series wer achieved by Poincaré and Stieltjes independently in 1886. Poincaré called these series asymptotic while Stieltjes continued to use the term semiconvergent. Poincaré took up the subject in order to further the solution of linear differential equations. Impressed by the usefulness of divergent series in astronomy, he sought to determine which were useful and why. he succededed in islolating and formulating the essential property...Poincaré applied his theory of asymptotic series to diffrential equations, and theree are many such uses in his treatise on celestical mechanics, 'Les Methodes nouvelles de la mechanique céleste"". (Morris Kline).‎

Bookseller reference : 39132

‎"POINCARÉ, HENRI.‎

‎Sur une Forme nouvelle des Équations du Probleme des trois Corps. - [THE HAMILTON PRINCIPLE]‎

‎(Berlin, Uppsala & Stockholm, Paris, Almqvist & Wiksell, 1897). 4to. No wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler."", Bd. 21, pp. 83-97.‎

‎First edition. In this paper Poincaré arrives at a new theorem about canonical transformation, and in his later ""Methodes Nouvelles"", he proved this theorem using a variiational principle of mechanics, known today as the Hamilton principle.‎

Bookseller reference : 39134

‎"POINCARÉ, HENRI. - A FAMOUS PAPER ON CELESTIAL MECHANICS.‎

‎Sur L'Équilibre d'une Masse fluide animée d'un Mouvement de Rotation.‎

‎(Stockholm, F.& G. Beier), 1885. 4to. No wrappers as extracted from ""Acta Mathematica"", Vol. 7. Pp. 259-288. Clean and fine.‎

‎First appearance of one of Poincaré's main papers.""Another famous paper of Poincar´we in celestial mechanics is the one he wrote in 1885 on the shape of a rotationg fluid mass submitted only to the forces of gravitation. Maclaurin had found as possible shapes some ellipsoids of revolution to which Jacobi had added other types of ellipsoids with unequal axes, and P.G. Tait and W.Thomson some annular shapes. By a penetrating analysis of the problem, Poincaré showed that still other ""pyriform"" shaoes exosted. One of the features of his interesting argument is that, apparently for the first time, he was confronted with the problem of minimizing a quadratic form in ""infinitely"" many variables.""(DSB).‎

Bookseller reference : 41897

‎"POINCARÉ, HENRI (+) FELIX KLEIN.‎

‎Sur les Fonctions Uniformes qui se reproduisent par des Substitutions Linéaires (+) [Klein's introduction to the present paper].‎

‎Leipzig, B.G. Teubner, 1882. 8vo. Original printed wrappers, no backstrip. In ""Mathematische Annalen. Begründet 1882 durch Rudolf Friedrich Alfred Clebsch. XIX. [19] Band. 4. Heft."" Entire issue offered. [Poincaré:] Pp. 553-64. [Entire issue: Pp. 435-594].‎

‎First printing of Poincaré's paper on his comprehensive theory of complex-valued functions which remain invariant under the infinite, discontinuous group of linear transformations. In 1881 Poincaré had published a few short papers with some initial work on the topic, and in the 1881, Klein invited Poincaré to write a longer exposition of his results to Mathematische Annalen which became the present paper. This, however, turned out to be an invitation to at mathematical dispute:""Before the article went to press, Klein forewarned Poincaré that he had appended a note to it in which he registered his objections to the terminology employed therein. In particular, Klein disputed Poincaré's decision to name the important class of functions possessing a natural boundary circle after Fuch's, a leading exponent of the Berlin school. The importance he attached to this matter, however, went far beyond the bounds of conventional priority dispute. True, Klein was concerned that his own work received sufficient acclaim, but the overriding issue hinged on whether the mathematical community would regard the burgeoning research in this field as an outgrowth of Weierstrassian analysis or the Riemannian tradition."" Parshall. The Emergence of the American Mathematical Research Community. Pp. 184-5.The issue contains the following important contributions by seminal mathematicians:1. Klein, Felix. Ueber eindeutige Functionen mit linearen Transformationen in sich. Pp. 565-68.2. Picard, Emile. Sur un théorème relatif aux surfaces pour lesquelles les coordnnées d´un point quelconque s´experiment par des fonctions abéliennes de deux paramètres. Pp. 578-87.3. Cantor, Georg. Ueber ein neues und allgemeines Condensationsprincip der Singularitäten von Functionen. Pp. 588-94.‎

Bookseller reference : 44432

‎"POINCARÉ, H.‎

‎Sur un theoreme de M. Fuchs.‎

‎Stockholm, Beijer, 1885. 4to. As extracted from ""Acta Mathematica, 21. Band]. No backstrip. Fine and clean. Pp. 83-97.‎

‎First printing of Poincaré's paper in which he developed the idea published by Fuchs in 1884. Fuchs established that the equation with fixed branch points can be made into a Riccati equation if its genus - the genus of the corresponding Riemann surface - with respect to u and du/dz is zero and can be integrated using elliptic functions if the genus is 1.‎

Bookseller reference : 45788

‎"POINCARÉ, HENRI.‎

‎Sur les résidus des intégrales doubles. - [POINCARÉ'S LEMMA]‎

‎Stockholm, Beijer, 1887. 4to. With the original wrappers in ""Acta Mathematica, 9:4. Band]. No backstrip. Fine and clean. Pp. 321-380. [Entire issue: Pp. 321-400]‎

‎First printing of Poincaré important - but partly unrecognized - paper which coined the term 'Poincaré lemma'. Even though it is named after Poincaré the discovery has by attributed to the Italian mathematician Vito Volterra who published a series of papers in 1889 on this subject.‎

Bookseller reference : 45902

‎"POINCARÉ, HENRI.‎

‎Sur la méthode horistique de Gyldén.‎

‎(Berlin, Uppsala & Stockholm, Paris, 1905. 4to. Bound in contemporary half cloth. In ""Acta Mathematica Hrsg. von G. Mittag-Leffler."", Bd. 29. Entires issue offered. Fine and clean. Pp. 235-272. [Entire volume: (4), 433 pp.].‎

‎Second of this paper in which Poincaré comments on the Swedish astronomer work.The offered issue contain many other papers by contemporary mathematicians.‎

Bookseller reference : 46288

‎"POINCARÉ, HENRI (+) GEORG CANTOR.‎

‎Sur les Fonctions Uniformes qui se reproduisent par des Substitutions Linéaires (+) Ueber ein neues und allgemeines Condensationsprincip der Singularitäten von Functionen.‎

‎Leipzig, B.G. Teubner, 1882. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 37, 1890. Entire volume offered. Library label pasted on to pasted down front free end-paper. Small library stamp to lower part of title title page and verso of title page. Fine and clean. Pp. 182-228. [Entire volume: IV, 604 pp.].‎

‎First printing of Poincaré's paper on his comprehensive theory of complex-valued functions which remain invariant under the infinite, discontinuous group of linear transformations. In 1881 Poincaré had published a few short papers with some initial work on the topic, and in the 1881, Klein invited Poincaré to write a longer exposition of his results to Mathematische Annalen which became the present paper. This, however, turned out to be an invitation to at mathematical dispute:""Before the article went to press, Klein forewarned Poincaré that he had appended a note to it in which he registered his objections to the terminology employed therein. In particular, Klein disputed Poincaré's decision to name the important class of functions possessing a natural boundary circle after Fuch's, a leading exponent of the Berlin school. The importance he attached to this matter, however, went far beyond the bounds of conventional priority dispute. True, Klein was concerned that his own work received sufficient acclaim, but the overriding issue hinged on whether the mathematical community would regard the burgeoning research in this field as an outgrowth of Weierstrassian analysis or the Riemannian tradition."" Parshall. The Emergence of the American Mathematical Research Community. Pp. 184-5.The issue contains the following important contributions by seminal mathematicians:1. Klein, Felix. Ueber eindeutige Functionen mit linearen Transformationen in sich. Pp. 565-68.2. Picard, Emile. Sur un théorème relatif aux surfaces pour lesquelles les coordnnées d´un point quelconque s´experiment par des fonctions abéliennes de deux paramètres. Pp. 578-87.‎

Bookseller reference : 47185

‎"POINCARÉ, H.‎

‎Sur la méthode horistique de Gyldén. - [POINCARÉ ON GYLDÉN'S HORISTIC METHODS]‎

‎Berlin, G. Reimer, 1905, 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 29, 1905. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. Pp. 235-72. [Entire volume: (4), 433 pp].‎

‎First printing of Poincaré's final and most extensive paper on Gyldén's horistic methods.‎

Bookseller reference : 49615

‎"POINCARÉ, H.‎

‎Sur une Forme nouvelle des Équations du Probleme des trois Corps (+) Sur les rapports de l'analyse pure et de la physique mathématique.‎

‎Berlin, Uppsala & Stockholm, Paris, Almqvist & Wiksell, 1897. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 21, 1897. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. pp. 83-97"" Pp. 331-341.[Entire volume: (6), 376 pp + 4 plates].‎

‎First printing of this paper in which Poincaré arrives at a new theorem about canonical transformation, and in his later ""Methodes Nouvelles"", he proved this theorem using a variiational principle of mechanics, known today as the Hamilton principle.Also included is the first printing of Poincaré's principal address at the first International Congress of Mathematicians held in Zürich in 1897.‎

Bookseller reference : 49621

‎"POINCARÉ, HENRI.‎

‎Theorie des Groupes fuchsiens (+) Mémoire sur les Fonctions fuchsiennes (+) Sur les Fonctions de deux Variables (+) Mémoire sur les groupes kleinéens (+) Sur les groupes des équations linéaires (+) Mémoire sur les fonctions zétafuchsiennes. - [THE DISCOVERY OF AUTOMORPHIC FUNCTIONS]‎

‎Berlin, Stockholm, Paris, F. & G. Beijer, 1882-84. Large4to. As extracted from ""Acta Mathematica"", no backstrip. With title-page and the original wrappers. (except for paper no. 3 and 5 which only has the title page). In ""Acta Mathematica"", volume 1-5. Title pages with library stamp. Internally clean and fine. Vol. I, pp. 1-62" Pp. 193-294 Vol. II, pp. 97-113 Vol. III. pp. 49-92 Vol. IV pp. 201-312" Vol. V pp. 209-278.‎

‎First publication of these groundbreaking papers which together constitute the discovery of Automorphic Functions. ""Before he was thirty years of age, Poincaré became world famous with his epoch-making discovery of the ""automorphic functions"" of one complex variable (or, as he called them, the ""fuchsian"" and ""kleinean"" functions)."" (DSB).These manuscripts, written between 28 June and 20 December 1880, show in detail how Poincaré exploited a series of insights to arrive at his first major contribution to mathematics: the discovery of the automorphic functions. In particular, the manuscripts corroborate Poincaré's introspective account of this discovery (1908), in which the real key to his discovery is given to be the recognition that the transformations he had used to define Fuchsian functions are identical with those of non-Euclidean geometry. (See Walter, Poincaré, Jules Henri French mathematician and scientist).The idea was to come in an indirect way from the work of his doctoral thesis on differential equations. His results applied only to restricted classes of functions and Poincaré wanted to generalize these results but, as a route towards this, he looked for a class functions where solutions did not exist. This led him to functions he named Fuchsian functions after Lazarus Fuchs but were later named automorphic functions. First editions and first publications of these epochmaking papers representing the discovery of ""automorphic functions"", or as Poincaré himself called them, the ""Fuchsian"" and ""Kleinian"" functions.""By 1884 Poincaré published five major papers on automorphic functions in the first five volumes of the new Acta Mathematica. When the first of these was published in the first volume of the new Acta Mathematica, Kronecker warned the editor, Mittag-Leffler, that this immature and obscure article would kill the journal. Guided by the theory of elliptic functions, Poincarë invented a new class of automorphic functions. This class was obtained by considering the inverse function of the ratio of two linear independent solutions of an equation. Thus this entire class of linear diffrential equations is solved by the use of these new transcendental functions of Poincaré."" (Morris Kline).Poincaré explains how he discovered the Automorphic Functions: ""For fifteen days I strove to prove that there could not be any functions like those I have since called Fuchsian functions, I was then very ignorant" every day I seated myself at my work table, stayed an hour or two, tried a great number of combinations and reached no results. One evening, contrary to my custom, I drank black coffee and could not sleep. Ideas rose in crowds I felt them collide until pairs interlocked, so to speak, making a stable combination. By the next morning I had established the existence of a Class of Fuchsian functions, those which come from hypergeometric series" i had only to write out the results, which took but a few hours...the transformations that I had used to define the Fuchsian functions were identical with those of Non-Euclidean geometry...""‎

Bookseller reference : 45854

‎"POINCARÉ, HENRI. - THE DISCOVERY OF AUTOMORPHIC FUNCTIONS‎

‎Theorie des Groupes fuchsiens (+) Mémoire sur les Fonctions fuchsiennes (+) Sur les Fonctions de deux Variables (+) Mémoire sur les groupes kleinéens (+) Sur les groupes des équations linéaires (+) Mémoire sur les fonctions zétafuchsiennes. - [THE DISCOVERY OF AUTOMORPHIC FUNCTIONS]‎

‎Berlin, Stockholm, Paris, F. & G. Beijer, 1882-84. Large4to (272 x 230 mm). Three volumes uniformly bound in contemporary half calf with gilt lettering to spine. In ""Acta Mathematica"", volume 1-5. Light wear to extremities, boards and spines with scratches. Stamp to verso of front board in all volumes. First three leaves in first volume detached, otherwise internally fine and clean. Vol. I, pp. 1-62" Pp. 193-294 Vol. II, pp. 97-113 Vol. III. pp. 49-92 Vol. IV pp. 201-312" Vol. V pp. 209-278.‎

‎First publication of these groundbreaking papers which together constitute the discovery of Automorphic Functions. ""Before he was thirty years of age, Poincaré became world famous with his epoch-making discovery of the ""automorphic functions"" of one complex variable (or, as he called them, the ""fuchsian"" and ""kleinean"" functions)."" (DSB).These manuscripts, written between 28 June and 20 December 1880, show in detail how Poincaré exploited a series of insights to arrive at his first major contribution to mathematics: the discovery of the automorphic functions. In particular, the manuscripts corroborate Poincaré's introspective account of this discovery (1908), in which the real key to his discovery is given to be the recognition that the transformations he had used to define Fuchsian functions are identical with those of non-Euclidean geometry. (See Walter, Poincaré, Jules Henri French mathematician and scientist).The idea was to come in an indirect way from the work of his doctoral thesis on differential equations. His results applied only to restricted classes of functions and Poincaré wanted to generalize these results but, as a route towards this, he looked for a class functions where solutions did not exist. This led him to functions he named Fuchsian functions after Lazarus Fuchs but were later named automorphic functions. First editions and first publications of these epochmaking papers representing the discovery of ""automorphic functions"", or as Poincaré himself called them, the ""Fuchsian"" and ""Kleinian"" functions.""By 1884 Poincaré published five major papers on automorphic functions in the first five volumes of the new Acta Mathematica. When the first of these was published in the first volume of the new Acta Mathematica, Kronecker warned the editor, Mittag-Leffler, that this immature and obscure article would kill the journal. Guided by the theory of elliptic functions, Poincarë invented a new class of automorphic functions. This class was obtained by considering the inverse function of the ratio of two linear independent solutions of an equation. Thus this entire class of linear diffrential equations is solved by the use of these new transcendental functions of Poincaré."" (Morris Kline).Poincaré explains how he discovered the Automorphic Functions: ""For fifteen days I strove to prove that there could not be any functions like those I have since called Fuchsian functions, I was then very ignorant" every day I seated myself at my work table, stayed an hour or two, tried a great number of combinations and reached no results. One evening, contrary to my custom, I drank black coffee and could not sleep. Ideas rose in crowds I felt them collide until pairs interlocked, so to speak, making a stable combination. By the next morning I had established the existence of a Class of Fuchsian functions, those which come from hypergeometric series" i had only to write out the results, which took but a few hours...the transformations that I had used to define the Fuchsian functions were identical with those of Non-Euclidean geometry...""‎

Bookseller reference : 60243