‎Mathématiques‎

‎"POINCARÉ, H.‎

‎Sur L'Uniformisation des Fonctions Analytiques. - [THE UNIFORMIZATION THEOREM]‎

‎Berlin, Stockholm, Paris, Almqvist & Wiksell, 1908. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 31, 1908. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. Pp. 1-64. [Entire volume: (8), 408, (2), 12 pp].‎

‎First appearance of Poincaré's important paper in which he presented the first solution to the problem of the uniformization of curves - now know as The Uniformization Theorem. Clebsch and Riemann tried to solve the problem of the uniformization for curves. ""In 1882 Klein gave a general uniformization theorem, but the proof was not complete. In 1883 Poincaré announced his general uniformization theorem but he too had no complete proof. Both Klein and Poincaré continued to work hard to prove this theorem but no decisive result was obtained for twent-five years. In 1907 Poincare (in the offered paper) and Paul Koebe independently gave a proof of this uniformization theorem...With the theorem on uniformization now rigorously established an improved treatment of algebraic functions and their integrals has become possible."" (Morris Kline).‎

Referenz des Buchhändlers : 49616

‎"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...""‎

Referenz des Buchhändlers : 45854

‎"POISSON, (SIMÉON-DENIS). - THE PREAMBLE.‎

‎Théorie mathématique de la Chaleur. (Cet article est le préambule d'un ouvrage actuellement sous presse, et qui paraitra incessamment).‎

‎(Berlin, G. Reimer, 1834). 4to. No wrappers. Extracted from ""Journal für die reine und angewandte Mathematik. Hrsg. von A.L. Crelle"", Bd. XII. Pp. 258-262.‎

‎First apperance of Poisson's preamble to his famous work ""Théorie mathématique de la Chaleur"", published 1835. “Poisson scored a point in this work by demonstrating how the conductibility of heat in the interior of bodies, far from being contained in the notion of flux as Fourier had held, must be derived from an absorption coefficient that restores a neglected functional dimension. It was in this area that … Poisson’s mechanical model for conduction of heat was the most fruitful. That conception enabled Poisson to understand on the molecular scale the complete and correct equation for radiation of heat” (DSB)‎

Referenz des Buchhändlers : 47207

‎"POCHHAMMER, LEO.‎

‎Zur Theorie der Euler'schen Integrale. - [POCHHAMMER CONTOUR]‎

‎Leipzig, B. G. Teubner, 1890. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 35., 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. Very fine and clean. Pp. 495-526. [Entire volume: IV, 604 pp.].‎

‎First publication of the paper which named the ""Pochhammer contour"". Pochhammer contour is a contour in the complex plane with two points removed, used for contour integration.Camille Jordan published in 1887 a paper introducing the concept. In 1890 Porchhammer expanded his theories in the present paper.‎

Referenz des Buchhändlers : 47128

‎"POCHHAMMER, LEO.‎

‎Zur Theorie der Euler'schen Integrale. - [POCHHAMMER CONTOUR]‎

‎Leipzig, B. G. Teubner, 1890. 8vo. Bound in recent full black cloth with gilt lettering to spine. In ""Mathematische Annalen"", Volume 35., 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. Very fine and clean. Pp. 495-526. [Entire volume: IV, 604 pp.].‎

‎"POINCARE, H. (HENRI). - THE DISCOVERY OF AUTOMORPHIC FORMS.‎

‎Sur les fonctions fuchsiennes. (+) Sur les fonctions.... Note. (+) Sur les fonctions.... Note.‎

‎(Paris: Gauthier-Villars), 1882. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences"", Vol 94, No 4 + 15 + 17. Pp. (149-) 184, pp. (997--) 1068 a. pp. (1139-) 1214. (3 entire issues offered). Poincare's papers: pp. 163-168, 1038-1042 a. 1166-67.‎

‎"POINCARÉ, H.‎

‎Remarques diverses sur l'équation de Fredholm.‎

‎[Berlin, Stockholm, Paris, Beijer, 1910] 4to. Without wrappers as extracted from ""Acta Mathematica. Hrdg. von G. Mittag-Leffler."", Bd. 33, pp. 57-86.‎

‎"POINCARÉ, H.‎

‎Sur L'Uniformisation des Fonctions Analytiques. - [THE UNIFORMIZATION THEOREM]‎

‎Berlin, Stockholm, Paris, Almqvist & Wiksell, 1908. 4to. Bound in contemporary half cloth with gilt lettering to spine. In ""Acta Mathematica"", Vol, 31, 1908. Entire volume offered. Stamps to title page, otherwise a fine and clean copy. Pp. 1-64. [Entire volume: (8), 408, (2), 12 pp].‎

‎"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].‎

‎"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.‎

‎"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].‎

‎"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].‎

‎"POINCARÉ, HENRI.‎

‎La Méthode de Neumann et le Probleme de Dirichlet.‎

‎(Berlin, Uppsala & Stockholm, Paris, 1895). 4to. Without wrappers as extracted from ""Acta Mathematica. Hrsg. von G. Mittag-Leffler"", Bd. 20, pp. 59-142.‎

‎"POINCARÉ, HENRI.‎

‎Mémoire sur les Fonctions fuchsiennes.‎

‎[Berlin, Stockholm, Paris, F. & G. Beijer, 1882]. Large4to. As extracted from ""Acta Mathematica"", In ""Acta Mathematica"", volume 1. Clean and fine. Pp. 193-294.‎

‎"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.].‎

‎"POINCARÉ, HENRI.‎

‎Sur la Polarisation par Diffraction. (Premier-Second partie). 2 vols. - [THE POINCARÉ SPHERE]‎

‎(Berlin, Uppsala & Stockholm, Paris, 1892 a. 1897. 4to. Without wrappers as extracted from ""Acta Mathematica Hrsg. von G. Mittag-Leffler."", Bd. 16 and 20. Fine and clean. Pp. 297-339 (+) pp. 313-355.‎

‎"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.‎

‎"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.‎

‎"POINCARÉ, HENRI.‎

‎Theorie des Groupes fuchsiens. - [THE DISCOVERY OF AUTOMORPHIC FUNCTIONS]‎

‎Berlin, Stockholm, Paris, F. & G. Beijer, 1882. Large4to. As extracted from ""Acta Mathematica"", no backstrip. With title-page and front free end-paper. In ""Acta Mathematica"", volume 1. Title pages with library stamp. A fine and clean copy. Pp. (6), 62.‎

‎"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.‎

‎"POISSON, (SIMÉON-DENIS). - INTRODUCING ""THE LAW OF LARGE NUMBERS""‎

‎Recherches sur la probabilité des jugements, principalement en matière criminelle. (+) Note sur la loi des grands nombres. (2 Papers).‎

‎(Paris, Bachelier), 1835-36. 4to. No wrappers. In: ""Comptes Rendus Hebdomadaires des Séances de L'Academie des Sciences"", Tome 1, Séance du Lundi 14 Décembre 1835 and tome 2, Séance Lundi 11 Avril 1836. Pp. (467-) 498 and (355-) 386. (2 entire issues offered. Poisson's papers: pp. 473-495 (1835) a. pp. 377-380 (1836).‎

‎"POISSON, SIMEON PIERRE.‎

‎Recherches sur le Mouvement des Projectiles dans L'Air, et ayant égard a leur Figure et leur Rotation, et a L'Influence du Mouvement diurne de la Terre.‎

‎Paris, Bachelier, 1839. 4to. Contemporary hcalf, gilt spine with gilt lettering. A paperlabel pasted on spine. Stamps on titlepage. VIII,226,(1) pp. Broadmargined on good paper. Light scattered brownspots.‎

‎"PONCELET, J. V. [JEAN-VICTOR].‎

‎Sur la valeur approchée linéaire et rationnelle des radicaux de la forme...‎

‎Berlin, G. Reimer, 1835. 4to. In ""Journal für die reine und angewandte Mathematik, 13 Band, 4. Heft, 1835"". Without backstrip. Fine and clean. [Poncelet:] Pp. 277-291. [Entire issue: pp. IV, 54 pp.].‎

‎"QUINE, WILLARD ORMAN VAN.‎

‎A System of Logistic. - [MAGNIFICENT PRESENTATION-COPY]‎

‎Cambridge, Massachusetts, Harvard University Press, 1934. Original full red cloth with gilt line-borders to boards, original dust-jacket, somewhat worn, with a red label over the price and chips and nicks to extremities. Minor loss to corners of dust-jacket, and a large loss of upper part of spine of dust-jacket (ca. 6 x 2 cm), thus lacking the title to spine of dust-jacket, and leaving the cloth of the same part of the spine sunned and the gilding of the title on spine almost faded off. Some soiling to dust-jacket. Internally nice and clean. X, (2), 204 pp.‎

‎An excellent presentation copy of this scarce first edition of the great logician's first book, which is the published version of his doctoral thesis, hailed by Whitehead as a landmark in the history of symbolic logic.Inscribed by Quine ""To F. Gomes Cassidy, historian of/ languages, from Van Quine, manu-/ facturer of one. Mathematical/ truth is linguistic convention,/ and logic is the [four Chinese characters]"".Frederic Gomez Cassidy (1907-2000) was a great capacity within wold language scholarship and a close friend of Quine, whom he had known since school and been to Oberlin College with. He was a talented linguist specialized in Early English, Creoles, Lexicography, and American language, who is now primarily famous for his lately begun monumental project, the ""Dictionary of American Regional English"" (known as DARE). Cassisy was born in Jamaica to a Canadian father and a Jamaican mother and grew up hearing their varieties of standard British English as well as the Cleole variety of the Black majority. When Cassidy was eleven years old, the whole family moved to Ohio. ""Here the young Jamaican was introduced to yet another variety of English and was dismayed to learn that it was he who sounded ""funny."" But that distinction was to have a significant benefit. It piqued the curiosity of a classmate who sought to know and befriend the boy who looked, acted, and sounded so different. That classmate was Willard Van Orman (""Van"") Quine, later to become one of America's most distinguished philosophers. The friendship he and Fred began as boys was to last their lifetimes, nourished by shared experiences at Oberlin College, regular correspondence through the decades, and frequent summer hiking trips."" (Memorial Resolution of the Faculty of the University of Wisconsin-Madison on the Death of Professor Emeritus Frederic Gomes Cassidy). The time at Oberlin College was of specific joy to him, and it was here he came to explore his interest in languages, philosophy, and science. He obtained his BA in 1930 and his MA, also at Oberlin, in 1932, and in 1938 he was given his PhD from the University of Michigan. Quine graduated from Oberlin College in 1930. He then won a scholarship to study for his doctorate at Harvard University, where he wrote the important thesis that was to constitute his first book. Quine's supervisor at Harvard was Alfred North Whitehead, who has also written the Foreword to his first book and who introduced him to Bertrand Russell, who visited Harvard during this time. From then on, Quine kept an ongoing correspondence with Russell. Quine finished his doctorate in two years and was awarded his Ph.D. in philosophy from Harvard in 1932. After that he received a travelling fellowship, which he used to travel to Vienna, where he got acquainted with the members of the Vienna Circle. During his travels he also met Gödel and Ayer. In Warsaw he spent six weeks with Tarski, and in Prague he studied under Carnap, who greatly inspired him. After his year of travelling, he returned to Harvard, where he published the present version of his doctoral dissertation, his first book.""In this book Dr. Quine has effected an extension of the scope of Symbolic Logic. The advance is more than an improvement in symbols. It extends to fundamental notions. He has introduced a generality adequate to the complexity of the subject matter"" and the symbolism embodies the generality of its meaning. I have no hesitation in stating by belief that Dr. Quine's book constitutes a landmark in the history of the subject."" So Whitehead writes in his Foreword (p. (IX) ). The logic that Quine takes into consideration is that of Russel and Whitehead's ""Principia Mathematica"", and when Whitehead towards the end of the Foreword states that ""Dr. Quine does not touch upon the relationship of Logic to Metahysics. He keeps strictly within the boundaries of his subject. But - if in conclusion I may venture beyond these limits - the reformation of Logic has an essential reference to Metaphysics. For Logic prescribes the shapes of metaphysical thought"" (p. X), the metaphysics he is talking about is nominalism. For Russell and Whitehead, Quine's work represented an unusual illustration of their own logic.The work was also under much influence of the Polish logicians, and as Whitehead concludes in his Foreword, ""it is interesting to note the influence of of the work of Professor H. M. Scheffer, and of the great school of Polish mathematicians. There is continuity in the progress of ordered knowledge."" (P. X).‎

Referenz des Buchhändlers : 37638

‎"QUINE, WILLARD ORMAN VAN.‎

‎A System of Logistic. - [MAGNIFICENT PRESENTATION-COPY]‎

‎Cambridge, Massachusetts, Harvard University Press, 1934. Original full red cloth with gilt line-borders to boards, original dust-jacket, somewhat worn, with a red label over the price and chips and nicks to extremities. Minor loss to corners of dust-jacket, and a large loss of upper part of spine of dust-jacket (ca. 6 x 2 cm), thus lacking the title to spine of dust-jacket, and leaving the cloth of the same part of the spine sunned and the gilding of the title on spine almost faded off. Some soiling to dust-jacket. Internally nice and clean. X, (2), 204 pp.‎